Aerospace Lug Analysis 2fj25
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Stress Methods Strength of Lugs Under Oblique Loading
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A.1.0.0 REFERENCES [1] E.F. Bruhn - "Analysis & Design of Flight Vehicle Structures", § D1.11 - D1.13. [2] N.S. Currey "Aircraft Landing Gear Design", Fig. 10.3 & Fig. 10.4 [3] McDonnell Douglas - Structural Design Manual Vol. II, § C3.0.0
A.2.0.0 INTRODUCTION
rmining Average Area of UnusuallyFig. Shaped, 1 Transversely Loaded Lugs Prepared by: A. Preparer
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A.2.0.0 INTRODUCTION (continued)
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A.2.0.0 INTRODUCTION (continued)
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A.3.0.0 LIMITATIONS 1. The KBR and KT curves are subject to limitations as per notes on individual charts. 2. Fig. 4 and Fig. 5 curves are valid for indicated materials only. 3. Values are for room temperature only.
For materials where KBR is unknown, the ultimate shear tear-out and bearing loads must be computed separately. A minimum margin of safety of 50% is required for bearing, thus, KBR = 0.50 is used. Ultimate shear tear-out should be computed from the equation: (Ref. [3]) PU = FSU AS where: FSU = Ultimate Shear Strength of the Lug Material AS = Shear-Out Area as Shown Below
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A.4.0.0 SHEAR OUT BEARING ULTIMATE STRENGTH 3
D/t
2.8 2.6
<=2 3
2.4
4
2.2
5
2
6
1.8
7
A
1.6
8
Kbru
9
1.4
10
1.2
B
1
15 0.8
20
0.6
30
0.4 0.2 0 0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
3
3.2
3.4
e/D KBRU Values of Shear-Bearing Efficiency Factors of Lugs Made From Fig. 2 Aluminum Alloys and Alloy Steel with FTU =< 160 ksi NOTES: 1. Curve A is a cutoff to be used for aluminum alloy hand-forged billet when the long transverse grain direction has the general direction C in the sketch. 2. Curve B is a cutoff to be used for the aluminum alloy plate, bar, and hand-forged billet when the short transverse grain direction has the general direction C in the sketch, and for die forgings when the lug contains the parting plane in a direction approximately normal to the direction C. 3. In addition to the limitations provided by curves 'A' and 'B', in no event shall Kbr greater than 2.0 be used for lugs made from 0.50 thick or thicker aluminum alloy plate, bar, or hand forged billet.
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A.5.0.0 SHEAR OUT BEARING YIELD STRENGTH
2.00
t/D >=0.6 0.4 0.3
1.80
1.60
0.2 0.15
1.40
0.12 0.10
1.20
0.08 KBRY1.00
0.06
0.80
0.60
0.40
0.20
0.00 0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
e/D KBRY Values of Shear-Bearing Efficiency Factors of Lugs Fig. 3 Valid For All Materials
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A.6.0.0 TENSILE STRENGTH ACROSS THE NET SECTION (AXIAL LOADING)
1
0.9
0.8
1
0.7
4
0.6
2 KT
0.5
0.4
0.3
0.2
0.1
0 0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
w/D
L , T , and N indicate grain in direction F in sketch. L = longitudinal T = long transverse, N = short transverse
Curve 1
4130 & 8630 and all other steels 2014-T6 & 7075-T6 plate =<0.5 in (L, LT) 7075-T6 bar and extrusion (L) 2014-T6 hand-forged billet =<144 in2 (L) 2014-T6 & 7075-T6 die forging (L)
Curve 2
2014-T6 & 7075-T6 plate >0.5 in =<1.0 in (L, LT) 7075-T6 extrusion (LT, ST) 7075-T6 hand-forged billet =<36 in2 (L) 2014-T6 hand-forged billet >144 in2 (L) 2014-T6 hand-forged billet =<36 in2 (LT) 2014-T6 & 7075-T6 die forgings (LT) Fig. 4
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Curve 4
2024-T3 & 2024-T4 plate (L, LT) 2014-T6 & 7075-T6 plate >1.0 in (L, LT) 2024-T4 bar (L, LT) 7075-T6 hand-forged billet >36 in2 (L) 7075-T6 hand-forged billet =<16 in2 (LT)
KT Values of Tension Efficiency Factors For Axially Loaded Lugs Date: 1-Oct-07
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A.7.0.0 TENSILE STRENGTH ACROSS THE NET SECTION (TRANSVERSE LOADING) 1.6
1
NOTES: 1. All curves are for KTRU, except the one noted KTRY 2. Do not use these curves for aluminum alloy lugs having the ST grain direction in the plane of the lug. 3. An additional M.S. of 0.15 over and above any casting or fitting factor is appropriate.
1.5 1.4 1.3
2
5
1.2
3
1.1 1.0
4
0.9
6
KTRU KTRY 0.8
7 0.7 0.6
A
0.5 0.4 0.3 0.2 0.1 0.0 0.0
0.1
0.2
0.3
0.4
0.5
0.6 0.7 AAV / ABR
0.8
0.9
1.0
1.1
1.2
1.3
Curve Nomencalture: 1. 4130 & 8630 Steels, 95 thru 125 ksi H.T. 2. 4130 Steel, 150 ksi H.T. 3. 4130 Steel, 180 ksi H.T. 4. 2024-T3 and -T4 Al Alloy Plate =<0.5" thk 5. KTRY for All Aluminum and Steel Alloys 6. 15-5PH Steel, H1025, FTU = 155 ksi 7. 2014-T6 & 7075-T6 Plate 0.5 in; Steel FTU = 200 ksi; Steel FTU = 260 ksi A Approximate Cantilever Strength for All Aluminum and Steel Alloys. If KTRU is Below this Curve a Separate Calculation as a Cantelever Beam is Warranted.
Fig. 5 Prepared by: A. Preparer
KTR Values of Tension Efficiency Factors For Transversely Loaded Lugs Date: 1-Oct-07
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A.8.0.0 CALCULATIONS
Fz
Fx
FX =
31035 N
FZ =
0N
D= t= w= e=
25.48 10.00 38.00 19.00
mm mm mm mm
Axial Load
Limit or Ultimate
Transverse Load
Limit or Ultimate
Hole Diameter Lug Thickness Lug Width Edge Distance
L1 =
9.99 mm
Length 1, Refer to Fig. 1
L2 =
6.26 mm
Length 2, Refer to Fig. 1
L3 =
6.26 mm
Length 3, Refer to Fig. 1
L4 =
9.99 mm
Length 4, Refer to Fig. 1
Material =
Steel
FTU =
655 MPa
Ultimate Tensile Strength
FTY =
517 MPa
Yield Tensile Strength
Curve =
2
Select Curve From Fig. 4 (1, 2 or 4)
Curve =
6
Select Curve From Fig. 5 (1 thru 6)
A1 = A2 = A3 =
2 = L1t 99.9 mm #NAME? 2 = L2t 62.6 mm #NAME? 2
A4 =
= L3t 62.6 mm #NAME? 2 = L4t 99.9 mm #NAME?
AAV =
2 = #NAME? mm #NAME?
ABR = AT =
[Eqn. 1]
Area 1, Refer to Fig. 1
[Eqn. 2]
Area 2, Refer to Fig. 1
[Eqn. 3]
Area 3, Refer to Fig. 1
[Eqn. 4]
Area 4, Refer to Fig. 1
6 3 / A1 + 1 / A2 + 1 / A3 + 1 / A4
2 = Dt [Eqn. 6] 254.8 mm #NAME? 2 = (w - D)t [Eqn. 7] 125.2 mm #NAME?
[Eqn. 5]
Bearing Area Net Tension Area
Average Area
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A.8.0.0 CALCULATIONS (continued)
e/D =
w / D [Eqn. 8] 1.49 = #NAME? e / D [Eqn. 9] 0.75 = #NAME?
D/t =
D / t [Eqn. 10] 2.55 = #NAME?
w/D =
AAV/ABR =
AAV / ABR #NAME? = #NAME?
[Eqn. 11]
Shape Parameter
The following values use macros to read values from graphical data. KBRU = 0.45 Ultimate Shear-Bearing Efficiency Factor From Fig. 2 KBRY = 0.48 Yield Shear-Bearing Efficiency Factor From Fig. 3 KT =
0.98 Tension Efficiency Factor (Axial Loading), From Fig. 4
KTRU =
#NAME? Ultimate Tension Eff. Factor (Transverse Loading), From Fig. 5
KTRY =
#NAME? Yield Tension Efficiency Factor (Transverse Loading), From Fig. 5
Curve A Check: #NAME? For ultimate loading analysis: PBRU = = KBRUABRFTU [Eqn. 12] 75489 N#NAME? PTAU = = KTATFTU [Eqn. 13] 80476 N#NAME? PTRU = RA =
= KTRUABRFTU #NAME? N#NAME?
[Eqn. 14]
#NAME? = #NAME?FX
Ultimate Shear Out-Bearing Strength Ultimate Tensile Strength (Axial) Ultimate Tensile Strength (Transverse) Reserve Factor
[Eqn. 15]
min[PTAU , PBRU]
RTR = M.S. =
FZ / PTRU [Eqn. 16] #NAME? = #NAME? -1 #NAME? = #NAME? 1
Reserve Factor [Eqn. 17]
Margin of Safety
[RA1.6 + RTR1.6]0.625
For limit loading analysis: PBRY = = KBRY FTY ABR [Eqn. 18] 63505 N#NAME? PTAY = = KTATFTY [Eqn. 19] 63534 N#NAME? PTRY = = KTRY ABRFTY [Eqn. 20] #NAME? N#NAME? RA = RTR = M.S. =
#NAME? = #NAME?FX
Yield Shear Out-Bearing Strength Yield Tensile Strength (Axial) Yield Tensile Strength (Transverse)
[Eqn. 21]
min[PTAY , PBRY ] FZ / PTRY [Eqn. 22] #NAME? = #NAME? -1 #NAME? = #NAME? 1 [RA1.6 + RTR1.6]0.625
Reserve Factor Reserve Factor
[Eqn. 23]
Margin of Safety
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A.9.0.0 ADDITIONAL CALCULATIONS A.9.1.0 BUSHING YIELD tB
D DB
t
Bushing Material = FCY =
Steel 752 MPa
Compressive Yield Strength of the Bushing Material
D= t= DB =
12.7 mm 9.1 mm 15.9 mm
tB =
6.5 mm
Pin Diameter Pin Surface Length Bushing Diameter Bushing Surface Length
Bearing area in the bushing analysis is the smaller of the bearing areas of bushing on pin (Dt), or bushing on lug (DBtB). The latter may be smaller because of external chamfer, oil, grooves, etc. ABR PIN = ABR BUSH = P= PBRY = M.S. =
2 = Dt [Eqn. 24] 115.9 mm #NAME?
Pin Bearing Area
2 = DBtB 103.4 mm #NAME?
Bushing Bearing Area
[Eqn. 25]
31035 N#NAME? = (FX2 + FZ2)0.5
[Eqn. 26]
= 1.85FCY min(ABR PIN , ABR BUSH) [Eqn. 27] 143799 N#NAME? Allowable Yield Bushing Load PBRY - 1 [Eqn. 28] Margin of Safety #NAME? = #NAME?
P
A.9.2.0 STRENGTH DUE TO SIDE LOAD Determined by standard analysis methods. Use 10% of the total load: PSIDE =
Bushing Load
= 0.1P [Eqn. 29] 3104 N #NAME?
Side Load
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Stress Methods Strength of Lugs Under Oblique Loading A.9.3.0 BOLT OR PIN SHEAR STRENGTH Determined by standard analysis methods.
A.9.4.0 BOLT OR PIN BENDING STRENGTH Determined by standard analysis methods.
A.9.5.0 LUG CLAMP-UP
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2.30 2.20 2.10 2.00 1.90 1.80 1.70 1.60 1.50 1.40 1.30 1.20
1.10 1.00 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0.00 0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
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3
2.8 2.6 2.4 2.2
2 1.8 1.6 1.4
1.2 1 0.8
0.6 0.4 0.2 0 0.6
1
1.4
1.8
2.2
2.6
3
3.4
Kbr values: Shear-Bearing Efficiency Factors of Lugs Made From Aluminum Alloys and Alloy Steel with Ftu =< 160 ksi
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1
0.9
1 0.8
0.7
4
0.6
24 0.5
0.4
0.3
0.2
0.1
0 0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
Tension Efficiency Factors Kt for Axially Loaded Lugs
Same as Bruhn, Fig. D1.12
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Strength of Lugs Under Oblique Loading
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1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
0.2
0.4
0.6
0.8
1
1.2
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1.4
1.2
y = 0.416666667x3 - 1.596428571x2 + 2.089047619x + 0.0048
1.0
0.8
0.6
0.4
0.2
0.0
0.0
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0.2
0.4
Date: 1-Oct-07
0.6
0.8
1.0
1.2
Checked by:___________________Date:__________
1 Index 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
Material 2024-T3 Clad Flat Sheet and Plate, t = 0.008 - 0.009 2024-T3 Clad Flat Sheet and Plate, t = 0.010 - 0.062 2024-T3 Clad Flat Sheet and Plate, t = 0.063 - 0.128 2024-T3 Clad Flat Sheet and Plate, t = 0.129 - 0.249 2024-T3 Extruded bar, rod and shapes, t = <0.249 2024-T3 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T3 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T3 Extruded bar, rod and shapes, t = 0.750 - 1.499 2024-T3 Extruded bar, rod and shapes, t = 1.500 - 2.999 2024-T3 Extruded bar, rod and shapes, t = 3.000 - 4.499 2024-T3 Sheet, t = 0.008 - 0.009 2024-T3 Sheet, t = 0.010 - 0.128 2024-T3 Sheet, t = 0.129 - 0.249 2024-T351 Clad Flat Sheet and Plate, t = 0.250 - 0.499 2024-T351 Clad Flat Sheet and Plate, t = 0.500 - 1.000 2024-T351 Clad Flat Sheet and Plate, t = 1.001 - 1.500 2024-T351 Clad Flat Sheet and Plate, t = 1.501 - 2.000 2024-T351 Clad Flat Sheet and Plate, t = 2.001 - 3.000 2024-T351 Clad Flat Sheet and Plate, t = 3.001 - 4.000 2024-T351 Plate, t = 0.250 - 0.499 2024-T351 Plate, t = 0.500 - 1.000 2024-T351 Plate, t = 1.001 - 1.500 2024-T351 Plate, t = 1.501 - 2.000 2024-T351 Plate, t = 2.001 - 3.000 2024-T351 Plate, t = 3.001 - 4.000 2024-T3510 Extruded bar, rod and shapes, t = <0.249 2024-T3510 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T3510 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T3510 Extruded bar, rod and shapes, t = 0.750 - 1.499 2024-T3510 Extruded bar, rod and shapes, t = 1.500 - 2.999 2024-T3510 Extruded bar, rod and shapes, t = 3.000 - 4.499 2024-T3511 Extruded bar, rod and shapes, t = <0.249 2024-T3511 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T3511 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T3511 Extruded bar, rod and shapes, t = 0.750 - 1.499 2024-T3511 Extruded bar, rod and shapes, t = 1.500 - 2.999 2024-T3511 Extruded bar, rod and shapes, t = 3.000 - 4.499 2024-T4 Clad Coiled Sheet, t = 0.010 - 0.062 2024-T4 Clad Coiled Sheet, t = 0.010 - 0.062 2024-T42 Extruded bar, rod and shapes, t = < 0.249 2024-T42 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T42 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T42 Extruded bar, rod and shapes, t = 0.750 - 0.999 2024-T42 Extruded bar, rod and shapes, t = 1.000 - 1.249 2024-T42 Extruded bar, rod and shapes, t = 1.250 - 1.499 2024-T42 Extruded bar, rod and shapes, t = 1.500 - 1.749 2024-T42 Extruded bar, rod and shapes, t = 1.750 - 1.999 2024-T42 Extruded bar, rod and shapes, t = 2.000 - 2.249 2024-T42 Extruded bar, rod and shapes, t = 2.250 - 2.499
2
3
Ftu L 60,000 61,000 63,000 64,000 61,000 62,000 62,000 70,000 74,000 74,000 64,000 65,000 66,000 64,000 63,000 62,000 62,000 60,000 57,000 66,000 65,000 64,000 64,000 62,000 59,000 61,000 62,000 62,000 70,000 74,000 74,000 61,000 62,000 62,000 70,000 74,000 74,000 59,000 62,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000
Ftu LT 59,000 60,000 62,000 63,000 58,000 57,000 56,000 60,000 58,000 57,000 63,000 64,000 65,000 64,000 63,000 62,000 62,000 60,000 57,000 66,000 65,000 64,000 64,000 62,000 59,000 58,000 57,000 56,000 60,000 58,000 57,000 58,000 57,000 56,000 60,000 58,000 57,000 59,000 62,000 55,000 54,000 52,000 51,000 49,000 47,000 45,000 43,000 41,000 39,000
50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101
2024-T4 Coiled Sheet, t = 0.010 - 0.249 2024-T42 Clad Flat Sheet and Plate, t = 0.008 - 0.009 2024-T42 Clad Flat Sheet and Plate, t = 0.010 - 0.062 2024-T42 Clad Flat Sheet and Plate, t = 0.063 - 0.249 2024-T42 Clad Flat Sheet and Plate, t = 0.250 - 0.499 2024-T42 Clad Flat Sheet and Plate, t = 0.500 - 1.000 2024-T42 Clad Flat Sheet and Plate, t = 1.001 - 2.000 2024-T42 Flat Sheet and Plate, t = 0.010 - 0.249 2024-T42 Flat Sheet and Plate, t = 0.250 - 0.499 2024-T42 Flat Sheet and Plate, t = 0.500 - 1.000 2024-T42 Flat Sheet and Plate, t = 1.001 - 2.000 2024-T62 Clad Flat Sheet and Plate, t = 0.010 - 0.062 2024-T62 Clad Flat Sheet and Plate, t = 0.063 - 0.249 2024-T62 Clad Flat Sheet and Plate, t = 0.250 - 0.499 2024-T62 Flat Sheet and Plate, t = 0.010 - 0.249 2024-T62 Flat Sheet and Plate, t = 0.250 - 0.499 2024-T62 Flat Sheet and Plate, t = 0.500 - 2.000 7050-T7451 Plate, t = 0.250 - 1.500 7050-T7451 Plate, t = 1.501 - 2.000 7050-T7451 Plate, t = 2.001 - 3.000 7050-T7451 Plate, t = 3.001 - 4.000 7050-T7451 Plate, t = 4.001 - 5.000 7050-T7451 Plate, t = 5.001 - 6.000 7075-T6 Bar & Extrusion, t < 0.250 7075-T6 Bar & Extrusion, t = 0.250 - 0.499 7075-T6 Bar & Extrusion, t = 0.499 - 0.749 7075-T6 Bar & Extrusion, t = 0.750 - 1.499 7075-T6 Bar & Extrusion, t = 1.500 - 2.999 7075-T6 Bar & Extrusion, t = 3.000 - 4.499 7075-T6 Bar & Extrusion, t = 4.500 - 5.000 7075-T6 Clad Sheet, t = 0.012 - 0.039 7075-T6 Clad Sheet, t = 0.012 - 0.039 7075-T6 Clad Sheet, t = 0.040 - 0.062 7075-T6 Clad Sheet, t = 0.040 - 0.062 7075-T6 Clad Sheet, t = 0.063 - 0.187 7075-T6 Clad Sheet, t = 0.063 - 0.187 7075-T6 Clad Sheet, t = 0.188 - 0.249 7075-T6 Clad Sheet, t = 0.188 - 0.249 7075-T6 Sheet, t = 0.012 - 0.039 7075-T6 Sheet, t = 0.040 - 0.125 7075-T6 Sheet, t = 0.126 - 0.249 7075-T62 Sheet, t = 0.012 - 0.039 7075-T62 Sheet, t = 0.040 - 0.125 7075-T62 Sheet, t = 0.126 - 0.249 7075-T651 Plate, t = 0.250 - 0.499 7075-T651 Plate, t = 0.500 - 1.000 7075-T651 Plate, t = 1.001 - 1.500 7075-T651 Plate, t = 2.001 - 2.500 7075-T651 Plate, t = 2.501 - 3.000 7075-T651 Plate, t = 3.001 - 3.500 7075-T651 Plate, t = 3.501 - 4.000 7075-T73 Extrusion, t = 0.062 - 0.249
64,000 57,000 59,000 62,000 60,000 59,000 58,000 62,000 62,000 61,000 60,000 60,000 62,000 62,000 63,000 63,000 63,000 76,000 76,000 75,000 74,000 73,000 72,000 82,000 85,000 85,000 85,000 85,000 84,000 81,000 74,000 74,000 75,000 75,000 77,000 77,000 77,000 77,000 78,000 80,000 80,000 78,000 80,000 80,000 79,000 79,000 78,000 77,000 73,000 72,000 68,000 72,000
64,000 57,000 59,000 62,000 60,000 59,000 58,000 62,000 62,000 61,000 60,000 60,000 62,000 62,000 64,000 64,000 63,000 76,000 76,000 75,000 75,000 74,000 73,000 79,000 82,000 81,000 79,000 75,000 69,000 65,000 74,000 74,000 75,000 75,000 77,000 77,000 77,000 77,000 78,000 80,000 80,000 78,000 80,000 80,000 80,000 80,000 79,000 78,000 74,000 73,000 69,000 70,000
102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153
7075-T73 Extrusion, t = 0.250 - 0.499 7075-T73 Extrusion, t = 0.500 - 0.749 7075-T73 Extrusion, t = 0.750 - 1.499 7075-T73 Extrusion, t = 1.500 - 2.999 7075-T73 Extrusion, t = 3.000 - 4.499 7075-T73 Extrusion, t = 3.000 - 4.499, x-section > 20 sq. in 7075-T73 Sheet, t = 0.040 - 0.249, (S-Basis) 7075-T7351 Plate, t = 0.250 - 0.499, (S-Basis) 7075-T7351 Plate, t = 0.500 - 1.000, (A-Basis) 7075-T7351 Plate, t = 0.500 - 1.000, (B-Basis) 7075-T7351 Plate, t = 1.001 - 1.500, (A-Basis) 7075-T7351 Plate, t = 1.001 - 1.500, (B-Basis) 7075-T7351 Plate, t = 1.501 - 2.000, (A-Basis) 7075-T7351 Plate, t = 1.501 - 2.000, (B-Basis) 7075-T7351 Plate, t = 2.001 - 2.500, (A-Basis) 7075-T7351 Plate, t = 2.001 - 2.500, (B-Basis) 7075-T7351 Plate, t = 2.501 - 3.000, (A-Basis) 7075-T7351 Plate, t = 2.501 - 3.000, (B-Basis) 7075-T7351 Plate, t = 3.001 - 3.500, (S-Basis) 7075-T7351 Plate, t = 3.501 - 4.000, (S-Basis) 7075-T73510 Extrusion, t = 0.062 - 0.249 7075-T73510 Extrusion, t = 0.250 - 0.499 7075-T73510 Extrusion, t = 0.500 - 0.749 7075-T73510 Extrusion, t = 0.750 - 1.499 7075-T73510 Extrusion, t = 1.500 - 2.999 7075-T73510 Extrusion, t = 3.000 - 4.499 7075-T73510 Extrusion, t = 3.000 - 4.499, x-section > 20 sq in 7075-T73511 Extrusion, t = 0.062 - 0.249 7075-T73511 Extrusion, t = 0.250 - 0.499 7075-T73511 Extrusion, t = 0.500 - 0.749 7075-T73511 Extrusion, t = 0.750 - 1.499 7075-T73511 Extrusion, t = 1.500 - 2.999 7075-T73511 Extrusion, t = 3.000 - 4.499 7075-T73511 Extrusion, t = 3.000 - 4.499, x-section > 20 sq in 7150-T7751 Plate, t = 0.250 - 0.499 7150-T7751 Plate, t = 0.500 - 0.749 7150-T7751 Plate, t = 0.750 - 1.500 7150-T7751 Plate, t = 1.501 - 3.000 Ti-6Al-4V Bar, AMS 4928, Annealed, t < 0.500 Ti-6Al-4V Bar, AMS 4928, Annealed, t = 0.500 - 1.000 Ti-6Al-4V Bar, AMS 4928, Annealed, t = 1.001 - 2.000 Ti-6Al-4V Bar, AMS 4928, Annealed, t = 2.001 - 3.000 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t < 0.500 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 0.500 - 1.000 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 1.001 - 2.000 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 2.001 - 3.000 Ti-6Al-4V Bar, MIL-T-9047, STA, t < 0.500 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 0.501 - 1.000 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 1.001 - 1.500 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 1.500 - 2.000 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 2.001 - 3.000 Ti-6Al-4V Plate, Annealed, t = 0.1875 - 2.000
74,000 73,000 73,000 74,000 71,000 70,000 67,000 68,000 68,000 70,000 67,000 69,000 66,000 68,000 65,000 67,000 63,000 65,000 62,000 60,000 72,000 74,000 73,000 73,000 74,000 71,000 70,000 72,000 74,000 73,000 73,000 74,000 71,000 70,000 80,000 83,000 84,000 84,000 135,000 142,000 140,000 138,000 130,000 142,000 140,000 138,000 160,000 155,000 150,000 145,000 140,000 135,000
72,000 70,000 69,000 67,000 61,000 60,000 67,000 69,000 69,000 71,000 68,000 70,000 67,000 69,000 66,000 68,000 64,000 66,000 63,000 61,000 70,000 72,000 70,000 69,000 67,000 61,000 60,000 70,000 72,000 70,000 69,000 67,000 61,000 60,000 80,000 83,000 84,000 84,000 135,000 144,000 143,000 142,000 130,000 144,000 143,000 142,000 160,000 155,000 150,000 145,000 140,000 138,000
154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198
Ti-6Al-4V Plate, Annealed, t = 2.001 - 4.000 Ti-6Al-4V Plate, STA, t = 0.1875 - 0.750 Ti-6Al-4V Plate, STA, t = 0.751 - 1.000 Ti-6Al-4V Plate, STA, t = 1.001 - 2.000 17-4PH H900 Sheet & Plate, t < 4.0 17-4PH H925 Sheet & Plate, t < 4.0 17-4PH H1025 Sheet & Plate, t < 4.0 17-4PH H1075 Sheet & Plate, t < 4.0 17-4PH H1100 Sheet & Plate, t < 4.0 17-4PH H1150 Sheet & Plate, t < 4.0 17-4PH H900 Forging, Tubing, and Rings, t < 8.0 17-4PH H925 Forging, Tubing, and Rings, t < 8.0 17-4PH H1025 Forging, Tubing, and Rings, t < 8.0 17-4PH H1075 Forging, Tubing, and Rings, t < 8.0 17-4PH H1100 Forging, Tubing, and Rings, t < 8.0 17-4PH H1150 Forging, Tubing, and Rings, t < 8.0 17-4PH H1150M Forging, Tubing, and Rings, t < 8.0 17-4PH H900 Bar, t < 8.0 17-4PH H925 Bar, t < 8.0 17-4PH H1025 Bar, t < 8.0 17-4PH H1075 Bar, t < 8.0 17-4PH H1100 Bar, t < 8.0 17-4PH H1150 Bar, t < 8.0 17-4PH H1150M Bar, t < 8.0 4130 Sheet, Strip, Plate, Tubing, t =< 0.188 4130 Sheet, Strip, Plate, Tubing, t > 0.188 4130 Tubing, t =< 0.188 4130 Tubing, t =< 0.188 4130 Tubing, all walls 15-5PH H1025 Bar t =< 12 15-5PH H1150 Bar t =< 12 7075-T62 Plate, t = 0.500 - 1.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t < 1.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t < 1.000 (B-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 1.001 - 2.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 1.001 - 2.000 (B-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 2.001 - 3.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 2.001 - 3.000 (B-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 3.001 - 4.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 3.001 - 4.000 (B-Basis) 7075-T73 or T7351 Bar, Rod, and Shapes, t = 0.375 - 2.000 (S-Basis) 7075-T73 or T7351 Bar, Rod, and Shapes, t = 2.000 - 3.000 (S-Basis)
137,000 160,000 150,000 145,000
195,000 178,000 155,000 150,000 140,000 134,000 115,000 95,000 90,000 125,000 150,000 180,000 155,000 135,000 74,000 77,000 79,000 77,000 79,000 77,000 79,000 77,000 79,000 68,000 68,000
137,000 160,000 150,000 145,000 190,000 170,000 155,000 145,000 140,000 135,000 190,000 170,000 155,000 145,000 140,000 135,000 115,000
155,000 135,000 78,000 77,000 79,000 75,000 77,000 72,000 74,000 69,000 71,000 65,000
4
5
6
7
8
Ftu ST
Fty L 45,000 45,000 47,000 47,000 47,000 47,000 47,000 54,000 54,000 54,000 47,000 48,000 48,000 48,000 48,000 48,000 47,000 46,000 41,000 50,000 50,000 50,000 49,000 48,000 46,000 47,000 47,000 47,000 54,000 54,000 54,000 47,000 47,000 47,000 54,000 54,000 54,000 38,000 39,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000
Fty LT 40,000 40,000 42,000 42,000 41,000 40,000 39,000 43,000 41,000 41,000 42,000 43,000 43,000 42,000 42,000 42,000 42,000 42,000 41,000 44,000 44,000 44,000 44,000 44,000 43,000 41,000 40,000 39,000 43,000 41,000 41,000 41,000 40,000 39,000 43,000 41,000 41,000 38,000 39,000 36,000 35,000 34,000 33,000 32,000 31,000 30,000 29,000 28,000 27,000
Fty ST
Fcy L 37,000 37,000 39,000 39,000 38,000 39,000 40,000 48,000 50,000 51,000 39,000 40,000 40,000 39,000 39,000 39,000 38,000 37,000 35,000 41,000 41,000 40,000 40,000 39,000 37,000 38,000 39,000 40,000 48,000 50,000 51,000 38,000 39,000 40,000 48,000 50,000 51,000 38,000 39,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000
9
10
11
12
Fsu 37,000 38,000 39,000 40,000 31,000 32,000 31,000 35,000 36,000 35,000 39,000 40,000 41,000 38,000 37,000 37,000 37,000 35,000 34,000 39,000 38,000 38,000 38,000 37,000 35,000 31,000 32,000 31,000 35,000 36,000 35,000 31,000 32,000 31,000 35,000 36,000 35,000 37,000 39,000 29,000 29,000 29,000 29,000 29,000 29,000 28,000 27,000 26,000 24,000
Fbru (1.5) 97,000 99,000 102,000 104,000 90,000 81,000 80,000 90,000 93,000 91,000 104,000 106,000 107,000 97,000 95,000 94,000 94,000 91,000 86,000 100,000 98,000 97,000 97,000 94,000 89,000 90,000 81,000 80,000 90,000 93,000 91,000 90,000 81,000 80,000 90,000 93,000 91,000 97,000 102,000 81,000 80,000 79,000 77,000 75,000 74,000 71,000 69,000 67,000 64,000
IMPERIAL UNITS [psi] Fcy LT 43,000 43,000 45,000 45,000 45,000 44,000 43,000 47,000 44,000 43,000 45,000 46,000 46,000 45,000 45,000 44,000 44,000 43,000 41,000 47,000 47,000 46,000 46,000 45,000 43,000 45,000 44,000 43,000 47,000 44,000 43,000 45,000 44,000 43,000 47,000 44,000 43,000 38,000 39,000 39,000 38,000 37,000 36,000 35,000 34,000 33,000 31,000 30,000 29,000
Fcy ST
42,000 35,000 35,000 38,000 36,000 36,000 36,000 38,000 38,000 38,000 38,000 47,000 49,000 49,000 50,000 50,000 50,000 67,000 66,000 66,000 65,000 65,000 63,000 74,000 77,000 76,000 76,000 76,000 74,000 71,000 65,000 65,000 66,000 66,000 69,000 69,000 68,000 68,000 72,000 72,000 73,000 72,000 72,000 73,000 71,000 72,000 71,000 68,000 65,000 62,000 58,000 61,000
42,000 35,000 35,000 38,000 36,000 36,000 36,000 38,000 38,000 38,000 38,000 47,000 49,000 49,000 50,000 50,000 50,000 66,000 66,000 66,000 65,000 64,000 62,000 70,000 72,000 71,000 69,000 65,000 59,000 55,000 63,000 63,000 64,000 64,000 67,000 67,000 66,000 66,000 70,000 70,000 71,000 70,000 70,000 71,000 69,000 70,000 69,000 66,000 63,000 60,000 56,000 59,000
42,000 39,000 39,000 42,000 39,000 38,000 35,000 42,000 42,000 40,000 37,000 49,000 51,000 51,000 52,000 52,000 52,000 64,000 64,000 64,000 63,000 61,000 59,000 74,000 77,000 76,000 76,000 76,000 74,000 71,000 64,000 64,000 65,000 65,000 68,000 68,000 67,000 67,000 71,000 71,000 72,000 71,000 71,000 72,000 69,000 70,000 68,000 64,000 60,000 57,000 52,000 61,000
42,000 38,000 38,000 41,000 39,000 39,000 39,000 41,000 41,000 41,000 41,000 49,000 52,000 51,000 53,000 52,000 48,000 68,000 69,000 69,000 68,000 67,000 66,000 76,000 78,000 77,000 75,000 71,000 64,000 60,000 67,000 67,000 68,000 68,000 71,000 71,000 70,000 70,000 74,000 74,000 75,000 74,000 74,000 75,000 73,000 74,000 73,000 70,000 67,000 64,000 59,000 62,000
38,000 34,000 35,000 37,000 36,000 35,000 35,000 37,000 37,000 36,000 36,000 35,000 36,000 36,000 38,000 38,000 37,000 43,000 44,000 44,000 45,000 45,000 45,000 44,000 45,000 45,000 45,000 44,000 42,000 40,000 44,000 44,000 45,000 45,000 46,000 46,000 46,000 46,000 47,000 48,000 48,000 47,000 48,000 48,000 44,000 45,000 45,000 45,000 43,000 43,000 41,000 39,000
96,000 91,000 94,000 99,000 95,000 90,000 83,000 99,000 98,000 94,000 85,000 97,000 100,000 100,000 103,000 103,000 102,000 110,000 112,000 111,000 111,000 111,000 110,000 117,000 121,000 120,000 119,000 115,000 110,000 105,000 115,000 115,000 116,000 116,000 119,000 119,000 119,000 119,000 121,000 124,000 124,000 121,000 124,000 124,000 120,000 120,000 119,000 117,000 111,000 110,000 104,000 107,000
63,000 65,000 62,000 64,000 60,000 62,000 59,000 57,000
63,000 63,000 63,000 65,000 62,000 60,000 56,000 57,000 57,000 59,000 57,000 59,000 55,000 57,000 52,000 55,000 49,000 53,000 49,000 48,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 74,000 77,000 78,000 78,000 125,000 134,000 131,000 128,000 120,000 134,000 131,000 128,000 150,000 145,000 140,000 135,000 130,000 125,000
60,000 60,000 58,000 56,000 50,000 48,000 56,000 57,000 57,000 59,000 57,000 59,000 55,000 57,000 52,000 55,000 49,000 53,000 49,000 48,000 59,000 60,000 60,000 58,000 56,000 50,000 48,000 59,000 60,000 60,000 58,000 56,000 50,000 48,000 74,000 76,000 77,000 77,000 125,000 134,000 132,000 131,000 120,000 134,000 132,000 131,000 150,000 145,000 140,000 135,000 130,000 131,000
52,000 54,000 49,000 52,000 47,000 50,000 47,000 46,000
63,000 63,000 63,000 65,000 62,000 60,000 55,000 56,000 56,000 58,000 56,000 58,000 53,000 55,000 50,000 53,000 47,000 51,000 47,000 45,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 74,000 76,000 77,000 77,000 129,000 138,000 135,000
63,000 63,000 61,000 59,000 53,000 51,000 58,000 59,000 59,000 61,000 59,000 61,000 57,000 59,000 54,000 57,000 51,000 55,000 51,000 50,000 62,000 63,000 63,000 61,000 59,000 53,000 51,000 62,000 63,000 63,000 61,000 59,000 53,000 51,000 77,000 79,000 81,000 82,000
124,000 138,000 135,000
124,000
59,000 61,000 55,000 58,000 51,000 55,000 50,000 48,000
40,000 39,000 39,000 40,000 38,000 38,000 38,000 38,000 38,000 39,000 38,000 40,000 39,000 40,000 39,000 40,000 38,000 39,000 38,000 37,000 39,000 40,000 39,000 39,000 40,000 38,000 38,000 39,000 40,000 39,000 39,000 40,000 38,000 38,000 46,000 47,000 48,000 48,000 83,000 87,000 86,000
110,000 108,000 107,000 106,000 99,000 98,000 105,000 102,000 103,000 106,000 103,000 106,000 102,000 106,000 102,000 105,000 100,000 103,000 99,000 96,000 107,000 110,000 108,000 107,000 106,000 99,000 98,000 107,000 110,000 108,000 107,000 106,000 99,000 98,000 119,000 124,000 125,000 125,000 201,000 212,000 209,000
80,000 87,000 86,000
194,000 212,000 209,000
92,000
129,000
142,000
84,000
214,000
123,000 145,000 140,000 135,000
175,000 167,000 145,000 143,000 115,000 115,000 75,000 75,000 70,000 100,000 135,000 165,000 145,000 105,000 66,000 66,000 68,000 66,000 68,000 66,000 68,000 66,000 68,000 56,000 56,000
129,000 145,000 140,000 135,000 170,000 155,000 145,000 125,000 115,000 105,000 170,000 155,000 145,000 125,000 115,000 105,000 75,000
145,000 105,000 68,000 66,000 68,000 66,000 68,000 63,000 65,000 60,000 62,000 52,000
127,000 150,000 145,000
140,000
84,000 93,000 87,000
217,000 248,000 233,000
175,000
126,000
322,000
139,000
95,000
263,000
104,000
85,000
228,000
75,000 70,000 109,000 141,000 173,000 143,000 99,000 70,000 64,000 66,000 64,000 66,000 64,000 66,000 64,000 66,000 54,000 54,000
57,000 54,000 75,000 90,000 108,000 97,000 85,000 44,000 46,000 47,000 46,000 47,000 46,000 47,000 46,000 47,000 42,000 40,000
194,000 231,000 277,000 263,000 230,000 117,000 100,000 103,000 100,000 103,000 100,000 103,000 100,000 103,000 101,000 101,000
143,000 99,000 71,000
55,000
13
14
15
Fbru (2.0) Fbry (1.5) Fbry (2.0) 121,000 70,000 84,000 123,000 70,000 84,000 127,000 73,000 88,000 129,000 73,000 88,000 114,000 68,000 79,000 101,000 59,000 71,000 101,000 59,000 71,000 113,000 67,000 81,000 118,000 66,000 80,000 115,000 65,000 78,000 129,000 73,000 88,000 131,000 75,000 90,000 133,000 75,000 90,000 119,000 72,000 86,000 117,000 72,000 86,000 115,000 72,000 86,000 115,000 72,000 86,000 111,000 72,000 86,000 106,000 70,000 84,000 122,000 76,000 90,000 120,000 76,000 90,000 119,000 76,000 90,000 119,000 76,000 90,000 115,000 76,000 90,000 109,000 74,000 88,000 114,000 68,000 79,000 101,000 59,000 71,000 101,000 59,000 71,000 113,000 67,000 81,000 118,000 66,000 80,000 115,000 65,000 78,000 114,000 68,000 79,000 101,000 59,000 71,000 101,000 59,000 71,000 113,000 67,000 81,000 118,000 66,000 80,000 115,000 65,000 78,000 121,000 66,000 80,000 127,000 68,000 82,000 99,000 59,000 69,000 98,000 55,000 67,000 97,000 53,000 65,000 95,000 51,000 63,000 93,000 49,000 61,000 91,000 47,000 59,000 89,000 44,000 56,000 86,000 41,000 53,000 83,000 39,000 50,000 81,000 36,000 47,000
16 e (%)
17
18
19
20
E primary E second Ec primary Ec second
21 G
122,000 113,000 117,000 123,000 119,000 117,000 115,000 123,000 123,000 121,000 119,000 126,000 130,000 130,000 134,000 134,000 132,000 144,000 146,000 144,000 144,000 144,000 142,000 148,000 153,000 152,000 151,000 148,000 142,000 136,000 148,000 148,000 150,000 150,000 154,000 154,000 154,000 154,000 156,000 160,000 160,000 156,000 160,000 160,000 148,000 148,000 147,000 145,000 137,000 135,000 128,000 137,000
59,000 61,000 61,000 67,000 63,000 63,000 63,000 67,000 67,000 67,000 67,000 75,000 79,000 79,000 80,000 80,000 80,000 89,000 92,000 93,000 94,000 95,000 94,000 97,000 101,000 99,000 98,000 94,000 88,000 83,000 94,000 94,000 96,000 96,000 100,000 100,000 99,000 99,000 105,000 105,000 106,000 105,000 105,000 106,000 100,000 103,000 103,000 101,000 97,000 93,000 87,000 86,000
67,000 74,000 74,000 80,000 76,000 76,000 76,000 80,000 80,000 80,000 80,000 89,000 93,000 93,000 95,000 95,000 95,000 104,000 107,000 109,000 109,000 110,000 108,000 114,000 119,000 117,000 116,000 112,000 105,000 100,000 110,000 110,000 112,000 112,000 117,000 117,000 115,000 115,000 122,000 122,000 124,000 122,000 122,000 124,000 118,000 120,000 120,000 117,000 112,000 108,000 103,000 102,000
141,000 139,000 138,000 138,000 130,000 128,000 134,000 131,000 132,000 136,000 132,000 136,000 132,000 136,000 131,000 135,000 128,000 132,000 127,000 124,000 137,000 141,000 139,000 138,000 138,000 130,000 128,000 137,000 141,000 139,000 138,000 138,000 130,000 128,000 154,000 160,000 162,000 162,000 253,000 266,000 262,000
89,000 88,000 87,000 87,000 79,000 76,000 84,000 79,000 81,000 83,000 83,000 86,000 82,000 85,000 79,000 83,000 76,000 81,000 76,000 76,000 86,000 89,000 88,000 87,000 87,000 79,000 76,000 86,000 89,000 88,000 87,000 87,000 79,000 76,000 102,000 105,000 106,000 108,000 177,000 190,000 186,000
105,000 105,000 103,000 103,000 94,000 91,000 102,000 95,000 97,000 100,000 99,000 102,000 97,000 101,000 93,000 99,000 89,000 96,000 89,000 88,000 102,000 105,000 105,000 103,000 103,000 94,000 91,000 102,000 105,000 105,000 103,000 103,000 94,000 91,000 117,000 120,000 121,000 123,000 205,000 220,000 215,000
244,000 266,000 262,000
170,000 190,000 186,000
197,000 220,000 215,000
276,000
179,000
212,000
8 7 7 6 6 6 6 6 6
1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07
1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07
274,000 308,000 289,000
176,000 210,000 203,000
209,000 243,000 235,000
390,000
262,000
288,000
332,000
211,000
250,000
289,000
175,000
208,000
146,000 210,000 257,000 211,000 166,000 100,000 86,000 88,000 86,000 88,000 86,000 88,000 86,000 88,000 81,000 81,000
129,000 120,000 175,000 232,000 284,000 250,000 201,000 117,000 92,000 95,000 92,000 95,000 92,000 95,000 92,000 95,000 100,000 100,000
200,000 190,000 251,000 285,000 342,000 332,000 293,000 145,000 123,000 126,000 123,000 126,000 123,000 126,000 123,000 126,000 131,000 131,000
10 15 12 10 8 12 16 7 7 7 7 7 7 7 7 7 7 7
2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07
2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 1.06E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07
1.1E+07 1.1E+07 1.1E+07 1.1E+07 1.1E+07 1.1E+07 1.1E+07 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06
22
23
24
Ref. Bruhn, Table B1.1
m
F0.7
F0.85
Specification Notes: AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/3 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/4 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/5 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/6 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/7 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/8 3.2.3.0(j1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/3 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/4 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/5 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/6 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/7 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/8 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/3 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/4 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/5 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/6 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/7 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/8 3.2.3.0(j1), MIL-HDBK-5J AMS-QQ-A-250/5 Table 3.2.3.0(e2), MIL-HDBK-5J AMS-QQ-A-250/5 Table 3.2.3.0(e2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J
AMS QQ-A-250/4 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS 4035 / AMS QQ-A-250/4 AMS 4035 / AMS QQ-A-250/4 AMS 4035 / AMS QQ-A-250/4 AMS 4035 / AMS QQ-A-250/4 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS QQ-A-250/4 AMS QQ-A-250/4 AMS QQ-A-250/4 AMS 4050 AMS 4050 AMS 4050 AMS 4050 AMS 4050 AMS 4050 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS 4049 AMS-QQ-A-250/13 AMS 4049 AMS-QQ-A-250/13 AMS 4049 AMS-QQ-A-250/13 AMS 4049 AMS-QQ-A-250/13 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS QQ-A-200/11
Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J
0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33
AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/13 AMS 4078 and AMS QQ-A-250/14 AMS 4078 and AMS QQ-A-250/15 AMS 4078 and AMS QQ-A-250/16 AMS 4078 and AMS QQ-A-250/17 AMS 4078 and AMS QQ-A-250/18 AMS 4078 and AMS QQ-A-250/19 AMS 4078 and AMS QQ-A-250/20 AMS 4078 and AMS QQ-A-250/21 AMS 4078 and AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/12 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS 4252 AMS 4252 AMS 4252 AMS 4252 AMS 4928 AMS 4928 AMS 4928 AMS 4928 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 AMS 4911 / AMS-T-9046
Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(b3), MIL-HDBK-5J Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(b), MIL-HDBK-5J
0.32 0.32 0.32 0.32 0.32 0.27 0.27 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33
61,500 111,000 145,000 179,000
AMS 4911 / AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS6360, 6373, 6374, AMS -T-6736, Table AMS2.3.1.0(c1), -S-18729 MIL-HDBK-5J 53,000 AMS6360, 6373, 6374, AMS -T-6736, Table AMS2.3.1.0(c1), -S-18729 MIL-HDBK-5J 102,000 AMS6361, AMS-T-6736 Table 2.3.1.0(c2), MIL-HDBK-5J 140,000 AMS6362, AMS-T-6736 Table 2.3.1.0(c2), MIL-HDBK-5J 176,000 AMS-T-6736 AMS 5659 Table 2.6.7.0(b), MMPDS-01 AMS 5659 Table 2.6.7.0(b), MMPDS-01 AMS 4044 / AMS QQ-A-250/12 Table 3.7.6.0(b2), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4124 and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4124 and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01
0.00 0.00
SI UNITS [MPa] FtuL 413.69 420.58 434.37 441.26 420.58 427.47 427.47 482.63 510.21 510.21 441.26 448.16 455.05 441.26 434.37 427.47 427.47 413.69 393.00 455.05 448.16 441.26 441.26 427.47 406.79 420.58 427.47 427.47 482.63 510.21 510.21 420.58 427.47 427.47 482.63 510.21 510.21 406.79 427.47 393.00 393.00 393.00 393.00 393.00 393.00 393.00 393.00 393.00 393.00
FtuLT 406.79 413.69 427.47 434.37 399.90 393.00 386.11 413.69 399.90 393.00 434.37 441.26 448.16 441.26 434.37 427.47 427.47 413.69 393.00 455.05 448.16 441.26 441.26 427.47 406.79 399.90 393.00 386.11 413.69 399.90 393.00 399.90 393.00 386.11 413.69 399.90 393.00 406.79 427.47 379.21 372.32 358.53 351.63 337.84 324.05 310.26 296.47 282.69 268.90
FtyL 310.26 310.26 324.05 324.05 324.05 324.05 324.05 372.32 372.32 372.32 324.05 330.95 330.95 330.95 330.95 330.95 324.05 317.16 282.69 344.74 344.74 344.74 337.84 330.95 317.16 324.05 324.05 324.05 372.32 372.32 372.32 324.05 324.05 324.05 372.32 372.32 372.32 262.00 268.90 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00
FtyLT 275.79 275.79 289.58 289.58 282.69 275.79 268.90 296.47 282.69 282.69 289.58 296.47 296.47 289.58 289.58 289.58 289.58 289.58 282.69 303.37 303.37 303.37 303.37 303.37 296.47 282.69 275.79 268.90 296.47 282.69 282.69 282.69 275.79 268.90 296.47 282.69 282.69 262.00 268.90 248.21 241.32 234.42 227.53 220.63 213.74 206.84 199.95 193.05 186.16
FcyL 255.11 255.11 268.90 268.90 262.00 268.90 275.79 330.95 344.74 351.63 268.90 275.79 275.79 268.90 268.90 268.90 262.00 255.11 241.32 282.69 282.69 275.79 275.79 268.90 255.11 262.00 268.90 275.79 330.95 344.74 351.63 262.00 268.90 275.79 330.95 344.74 351.63 262.00 268.90 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00
FcyLT 296.47 296.47 310.26 310.26 310.26 303.37 296.47 324.05 303.37 296.47 310.26 317.16 317.16 310.26 310.26 303.37 303.37 296.47 282.69 324.05 324.05 317.16 317.16 310.26 296.47 310.26 303.37 296.47 324.05 303.37 296.47 310.26 303.37 296.47 324.05 303.37 296.47 262.00 268.90 268.90 262.00 255.11 248.21 241.32 234.42 227.53 213.74 206.84 199.95
Fsu 255.11 262.00 268.90 275.79 213.74 220.63 213.74 241.32 248.21 241.32 268.90 275.79 282.69 262.00 255.11 255.11 255.11 241.32 234.42 268.90 262.00 262.00 262.00 255.11 241.32 213.74 220.63 213.74 241.32 248.21 241.32 213.74 220.63 213.74 241.32 248.21 241.32 255.11 268.90 199.95 199.95 199.95 199.95 199.95 199.95 193.05 186.16 179.26 165.47
Fbru (1.5) Fbru (2.0) 668.79 834.27 682.58 848.06 703.27 875.63 717.05 889.42 620.53 786.00 558.48 696.37 551.58 696.37 620.53 779.11 641.21 813.58 627.42 792.90 717.05 889.42 730.84 903.21 737.74 917.00 668.79 820.48 655.00 806.69 648.11 792.90 648.11 792.90 627.42 765.32 592.95 730.84 689.48 841.16 675.69 827.37 668.79 820.48 668.79 820.48 648.11 792.90 613.63 751.53 620.53 786.00 558.48 696.37 551.58 696.37 620.53 779.11 641.21 813.58 627.42 792.90 620.53 786.00 558.48 696.37 551.58 696.37 620.53 779.11 641.21 813.58 627.42 792.90 668.79 834.27 703.27 875.63 558.48 682.58 551.58 675.69 544.69 668.79 530.90 655.00 517.11 641.21 510.21 627.42 489.53 613.63 475.74 592.95 461.95 572.26 441.26 558.48
441.26 393.00 406.79 427.47 413.69 406.79 399.90 427.47 427.47 420.58 413.69 413.69 427.47 427.47 434.37 434.37 434.37 524.00 524.00 517.11 510.21 503.32 496.42 565.37 586.05 586.05 586.05 586.05 579.16 558.48 510.21 510.21 517.11 517.11 530.90 530.90 530.90 530.90 537.79 551.58 551.58 537.79 551.58 551.58 544.69 544.69 537.79 530.90 503.32 496.42 468.84 496.42
441.26 393.00 406.79 427.47 413.69 406.79 399.90 427.47 427.47 420.58 413.69 413.69 427.47 427.47 441.26 441.26 434.37 524.00 524.00 517.11 517.11 510.21 503.32 544.69 565.37 558.48 544.69 517.11 475.74 448.16 510.21 510.21 517.11 517.11 530.90 530.90 530.90 530.90 537.79 551.58 551.58 537.79 551.58 551.58 551.58 551.58 544.69 537.79 510.21 503.32 475.74 482.63
289.58 241.32 241.32 262.00 248.21 248.21 248.21 262.00 262.00 262.00 262.00 324.05 337.84 337.84 344.74 344.74 344.74 461.95 455.05 455.05 448.16 448.16 434.37 510.21 530.90 524.00 524.00 524.00 510.21 489.53 448.16 448.16 455.05 455.05 475.74 475.74 468.84 468.84 496.42 496.42 503.32 496.42 496.42 503.32 489.53 496.42 489.53 468.84 448.16 427.47 399.90 420.58
289.58 241.32 241.32 262.00 248.21 248.21 248.21 262.00 262.00 262.00 262.00 324.05 337.84 337.84 344.74 344.74 344.74 455.05 455.05 455.05 448.16 441.26 427.47 482.63 496.42 489.53 475.74 448.16 406.79 379.21 434.37 434.37 441.26 441.26 461.95 461.95 455.05 455.05 482.63 482.63 489.53 482.63 482.63 489.53 475.74 482.63 475.74 455.05 434.37 413.69 386.11 406.79
289.58 268.90 268.90 289.58 268.90 262.00 241.32 289.58 289.58 275.79 255.11 337.84 351.63 351.63 358.53 358.53 358.53 441.26 441.26 441.26 434.37 420.58 406.79 510.21 530.90 524.00 524.00 524.00 510.21 489.53 441.26 441.26 448.16 448.16 468.84 468.84 461.95 461.95 489.53 489.53 496.42 489.53 489.53 496.42 475.74 482.63 468.84 441.26 413.69 393.00 358.53 420.58
289.58 262.00 262.00 282.69 268.90 268.90 268.90 282.69 282.69 282.69 282.69 337.84 358.53 351.63 365.42 358.53 330.95 468.84 475.74 475.74 468.84 461.95 455.05 524.00 537.79 530.90 517.11 489.53 441.26 413.69 461.95 461.95 468.84 468.84 489.53 489.53 482.63 482.63 510.21 510.21 517.11 510.21 510.21 517.11 503.32 510.21 503.32 482.63 461.95 441.26 406.79 427.47
262.00 234.42 241.32 255.11 248.21 241.32 241.32 255.11 255.11 248.21 248.21 241.32 248.21 248.21 262.00 262.00 255.11 296.47 303.37 303.37 310.26 310.26 310.26 303.37 310.26 310.26 310.26 303.37 289.58 275.79 303.37 303.37 310.26 310.26 317.16 317.16 317.16 317.16 324.05 330.95 330.95 324.05 330.95 330.95 303.37 310.26 310.26 310.26 296.47 296.47 282.69 268.90
661.90 627.42 648.11 682.58 655.00 620.53 572.26 682.58 675.69 648.11 586.05 668.79 689.48 689.48 710.16 710.16 703.27 758.42 772.21 765.32 765.32 765.32 758.42 806.69 834.27 827.37 820.48 792.90 758.42 723.95 792.90 792.90 799.79 799.79 820.48 820.48 820.48 820.48 834.27 854.95 854.95 834.27 854.95 854.95 827.37 827.37 820.48 806.69 765.32 758.42 717.05 737.74
841.16 779.11 806.69 848.06 820.48 806.69 792.90 848.06 848.06 834.27 820.48 868.74 896.32 896.32 923.90 923.90 910.11 992.85 1006.63 992.85 992.85 992.85 979.06 1020.42 1054.90 1048.00 1041.11 1020.42 979.06 937.69 1020.42 1020.42 1034.21 1034.21 1061.79 1061.79 1061.79 1061.79 1075.58 1103.16 1103.16 1075.58 1103.16 1103.16 1020.42 1020.42 1013.53 999.74 944.58 930.79 882.53 944.58
510.21 503.32 503.32 510.21 489.53 482.63 461.95 468.84 468.84 482.63 461.95 475.74 455.05 468.84 448.16 461.95 434.37 448.16 427.47 413.69 496.42 510.21 503.32 503.32 510.21 489.53 482.63 496.42 510.21 503.32 503.32 510.21 489.53 482.63 551.58 572.26 579.16 579.16 930.79 979.06 965.27 951.48 896.32 979.06 965.27 951.48 1103.16 1068.69 1034.21 999.74 965.27 930.79
496.42 482.63 475.74 461.95 420.58 413.69 461.95 475.74 475.74 489.53 468.84 482.63 461.95 475.74 455.05 468.84 441.26 455.05 434.37 420.58 482.63 496.42 482.63 475.74 461.95 420.58 413.69 482.63 496.42 482.63 475.74 461.95 420.58 413.69 551.58 572.26 579.16 579.16 930.79 992.85 985.95 979.06 896.32 992.85 985.95 979.06 1103.16 1068.69 1034.21 999.74 965.27 951.48
434.37 434.37 434.37 448.16 427.47 413.69 386.11 393.00 393.00 406.79 393.00 406.79 379.21 393.00 358.53 379.21 337.84 365.42 337.84 330.95 420.58 434.37 434.37 434.37 448.16 427.47 413.69 420.58 434.37 434.37 434.37 448.16 427.47 413.69 510.21 530.90 537.79 537.79 861.84 923.90 903.21 882.53 827.37 923.90 903.21 882.53 1034.21 999.74 965.27 930.79 896.32 861.84
413.69 413.69 399.90 386.11 344.74 330.95 386.11 393.00 393.00 406.79 393.00 406.79 379.21 393.00 358.53 379.21 337.84 365.42 337.84 330.95 406.79 413.69 413.69 399.90 386.11 344.74 330.95 406.79 413.69 413.69 399.90 386.11 344.74 330.95 510.21 524.00 530.90 530.90 861.84 923.90 910.11 903.21 827.37 923.90 910.11 903.21 1034.21 999.74 965.27 930.79 896.32 903.21
434.37 434.37 434.37 448.16 427.47 413.69 379.21 386.11 386.11 399.90 386.11 399.90 365.42 379.21 344.74 365.42 324.05 351.63 324.05 310.26 420.58 434.37 434.37 434.37 448.16 427.47 413.69 420.58 434.37 434.37 434.37 448.16 427.47 413.69 510.21 524.00 530.90 530.90 889.42 951.48 930.79 0.00 854.95 951.48 930.79
434.37 434.37 420.58 406.79 365.42 351.63 399.90 406.79 406.79 420.58 406.79 420.58 393.00 406.79 372.32 393.00 351.63 379.21 351.63 344.74 427.47 434.37 434.37 420.58 406.79 365.42 351.63 427.47 434.37 434.37 420.58 406.79 365.42 351.63 530.90 544.69 558.48 565.37
275.79 268.90 268.90 275.79 262.00 262.00 262.00 262.00 262.00 268.90 262.00 275.79 268.90 275.79 268.90 275.79 262.00 268.90 262.00 255.11 268.90 275.79 268.90 268.90 275.79 262.00 262.00 268.90 275.79 268.90 268.90 275.79 262.00 262.00 317.16 324.05 330.95 330.95 572.26 599.84 592.95
758.42 744.63 737.74 730.84 682.58 675.69 723.95 703.27 710.16 730.84 710.16 730.84 703.27 730.84 703.27 723.95 689.48 710.16 682.58 661.90 737.74 758.42 744.63 737.74 730.84 682.58 675.69 737.74 758.42 744.63 737.74 730.84 682.58 675.69 820.48 854.95 861.84 861.84 1385.85 1461.69 1441.00
972.16 958.37 951.48 951.48 896.32 882.53 923.90 903.21 910.11 937.69 910.11 937.69 910.11 937.69 903.21 930.79 882.53 910.11 875.63 854.95 944.58 972.16 958.37 951.48 951.48 896.32 882.53 944.58 972.16 958.37 951.48 951.48 896.32 882.53 1061.79 1103.16 1116.95 1116.95 1744.37 1834.01 1806.43
854.95
551.58 599.84 592.95
1337.58 1461.69 1441.00
1682.32 1834.01 1806.43
1475.48
1902.95
634.32
889.42
979.06
579.16
944.58 1103.16 1034.21 999.74
1344.48 1227.27 1068.69 1034.21 965.27 923.90 792.90 655.00 620.53 861.84 1034.21 1241.06 1068.69 930.79 510.21 530.90 544.69 530.90 544.69 530.90 544.69 530.90 544.69 468.84 468.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
944.58 1103.16 1034.21 999.74 1310.00 1172.11 1068.69 999.74 965.27 930.79 1310.00 1172.11 1068.69 999.74 965.27 930.79 792.90
1068.69 930.79 537.79 530.90 544.69 517.11 530.90 496.42 510.21 475.74 489.53 0.00 448.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
848.06 999.74 965.27 930.79
1206.58 1151.42 999.74 985.95 792.90 792.90 517.11 517.11 482.63 689.48 930.79 1137.63 999.74 723.95 455.05 455.05 468.84 455.05 468.84 455.05 468.84 455.05 468.84 386.11 386.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
889.42 999.74 965.27 930.79 1172.11 1068.69 999.74 861.84 792.90 723.95 1172.11 1068.69 999.74 861.84 792.90 723.95 517.11
999.74 723.95 468.84 455.05 468.84 455.05 468.84 434.37 448.16 413.69 427.47 0.00 358.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
875.63 1034.21 999.74
965.27
579.16 641.21 599.84
1496.16 1709.90 1606.48
1889.16 2123.59 1992.58
1206.58
868.74
2220.11
2688.96
958.37
655.00
1813.32
2289.06
717.05
586.05
1572.00
1992.58
517.11 482.63 751.53 972.16 1192.79 985.95 682.58 482.63 441.26 455.05 441.26 455.05 441.26 455.05 441.26 455.05 372.32 372.32 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
393.00 372.32 517.11 620.53 744.63 668.79 586.05 303.37 317.16 324.05 317.16 324.05 317.16 324.05 317.16 324.05 289.58 275.79 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1337.58 1592.69 1909.85 1813.32 1585.79 806.69 689.48 710.16 689.48 710.16 689.48 710.16 689.48 710.16 696.37 696.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1378.95 1310.00 1730.58 1965.01 2358.01 2289.06 2020.16 999.74 848.06 868.74 848.06 868.74 848.06 868.74 848.06 868.74 903.21 903.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
985.95 682.58 489.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 379.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
Fbry (1.5) Fbry (2.0) 482.63 579.16 482.63 579.16 503.32 606.74 503.32 606.74 468.84 544.69 406.79 489.53 406.79 489.53 461.95 558.48 455.05 551.58 448.16 537.79 503.32 606.74 517.11 620.53 517.11 620.53 496.42 592.95 496.42 592.95 496.42 592.95 496.42 592.95 496.42 592.95 482.63 579.16 524.00 620.53 524.00 620.53 524.00 620.53 524.00 620.53 524.00 620.53 510.21 606.74 468.84 544.69 406.79 489.53 406.79 489.53 461.95 558.48 455.05 551.58 448.16 537.79 468.84 544.69 406.79 489.53 406.79 489.53 461.95 558.48 455.05 551.58 448.16 537.79 455.05 551.58 468.84 565.37 406.79 475.74 379.21 461.95 365.42 448.16 351.63 434.37 337.84 420.58 324.05 406.79 303.37 386.11 282.69 365.42 268.90 344.74 248.21 324.05
406.79 420.58 420.58 461.95 434.37 434.37 434.37 461.95 461.95 461.95 461.95 517.11 544.69 544.69 551.58 551.58 551.58 613.63 634.32 641.21 648.11 655.00 648.11 668.79 696.37 682.58 675.69 648.11 606.74 572.26 648.11 648.11 661.90 661.90 689.48 689.48 682.58 682.58 723.95 723.95 730.84 723.95 723.95 730.84 689.48 710.16 710.16 696.37 668.79 641.21 599.84 592.95
461.95 510.21 510.21 551.58 524.00 524.00 524.00 551.58 551.58 551.58 551.58 613.63 641.21 641.21 655.00 655.00 655.00 717.05 737.74 751.53 751.53 758.42 744.63 786.00 820.48 806.69 799.79 772.21 723.95 689.48 758.42 758.42 772.21 772.21 806.69 806.69 792.90 792.90 841.16 841.16 854.95 841.16 841.16 854.95 813.58 827.37 827.37 806.69 772.21 744.63 710.16 703.27
613.63 606.74 599.84 599.84 544.69 524.00 579.16 544.69 558.48 572.26 572.26 592.95 565.37 586.05 544.69 572.26 524.00 558.48 524.00 524.00 592.95 613.63 606.74 599.84 599.84 544.69 524.00 592.95 613.63 606.74 599.84 599.84 544.69 524.00 703.27 723.95 730.84 744.63 1220.37 1310.00 1282.42
723.95 723.95 710.16 710.16 648.11 627.42 703.27 655.00 668.79 689.48 682.58 703.27 668.79 696.37 641.21 682.58 613.63 661.90 613.63 606.74 703.27 723.95 723.95 710.16 710.16 648.11 627.42 703.27 723.95 723.95 710.16 710.16 648.11 627.42 806.69 827.37 834.27 848.06 1413.43 1516.85 1482.37
1172.11 1310.00 1282.42
1358.27 1516.85 1482.37
1234.16
1461.69
1213.48 1447.90 1399.64
1441.00 1675.43 1620.27
1806.43
1985.69
1454.79
1723.69
1206.58
1434.11
1006.63 1447.90 1771.95 1454.79 1144.53 689.48 592.95 606.74 592.95 606.74 592.95 606.74 592.95 606.74 558.48 558.48 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
889.42 827.37 1206.58 1599.58 1958.11 1723.69 1385.85 806.69 634.32 655.00 634.32 655.00 634.32 655.00 634.32 655.00 689.48 689.48 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00
0.00 0.00
LUG =ARGUMENT("dot") =ARGUMENT("eod")
dot2= -0.0126*eod^4 + 0.163*eod^3 - 0.8816*eod^2 + 2.753*eod - 1.1713 dot3= 0.0078*eod^4 + 0.0014*eod^3 - 0.4684*eod^2 + 2.3458*eod - 1.0417 dot4= 0.0078*eod^4 - 0.0081*eod^3 - 0.4376*eod^2 + 2.2783*eod - 1.0072 dot5= 0.0078*eod^4 + 0.0069*eod^3 - 0.5432*eod^2 + 2.4277*eod - 1.063 dot6= 0.003*eod^4 + 0.0765*eod^3 - 0.8407*eod^2 + 2.8118*eod - 1.2036 dot7= 0.039842*eod^6 - 0.497358*eod^5 + 2.44588*eod^4 - 5.890413*eod^3 + 6.682546*eod^2 - 1.826088*eod - 0.118093 dot8= IF(eod<=2.6, 0.041538*eod^6 - 0.504557*eod^5 + 2.401564*eod^4 - 5.534742*eod^3 + 5.802325*eod^2 - 1.00697*eod dot9= IF(eod<=2.6, 0.031365*eod^6 - 0.369341*eod^5 + 1.673993*eod^4 - 3.51196*eod^3 + 2.778455*eod^2 + 1.161903*eod dot10= -0.015259*eod^6 + 0.230995*eod^5 - 1.421884*eod^4 + 4.59624*eod^3 - 8.412717*eod^2 + 8.624114*eod - 2.771632 dot15= -0.010173*eod^6 + 0.146171*eod^5 - 0.865604*eod^4 + 2.738825*eod^3 - 5.005151*eod^2 + 5.198546*eod - 1.617575 dot20= 0.005934*eod^6 - 0.0626*eod^5 + 0.229104*eod^4 - 0.238313*eod^3 - 0.53958*eod^2 + 1.613799*eod - 0.577742 dot30= 0.006782*eod^6 - 0.07825*eod^5 + 0.341693*eod^4 - 0.654707*eod^3 + 0.325732*eod^2 + 0.609647*eod - 0.270243
Kbru1= IF(dot >5, dot6 + (dot5-dot6)*(6-dot), IF(dot >4, dot5 + (dot4-dot5)*(5-dot), IF(dot >3, dot4 + (dot3-dot4)*(4-dot), IF(dot > Kbru= IF(dot >20, dot30 + (dot20-dot30)*(30-dot)/10, IF(dot >15, dot20 + (dot15-dot20)*(20-dot)/5, IF(dot >10, dot15 + (dot10-d =RETURN(Kbru) LUGY =ARGUMENT("tod") =ARGUMENT("eody")
tod06= IF(eody<2, -0.192254*eody^6 + 2.089333*eody^5 - 9.137778*eody^4 + 20.628333*eody^3 - 25.612111*eody^2 + 17.12 tod08= IF(eody<2, -0.013987*eody^6 + 0.213712*eody^5 - 1.328216*eody^4 + 4.32277*eody^3 - 7.886598*eody^2 + 7.895859 tod10= IF(eody<2, -0.000785*eody^6 + 0.03463*eody^5 - 0.381538*eody^4 + 1.872481*eody^3 - 4.71384*eody^2 + 6.085704*e tod12= -0.000805*eody^6 + 0.032613*eody^5 - 0.354604*eody^4 + 1.745642*eody^3 - 4.456158*eody^2 + 5.903931*eody - 2.0 tod15= 0.005728*eody^6 - 0.066822*eody^5 + 0.240879*eody^4 - 0.01953*eody^3 - 1.802447*eody^2 + 4.105903*eody - 1.614 tod20= IF(eody<2, 0.013006*eody^6 - 0.171883*eody^5 + 0.844848*eody^4 - 1.765645*eody^3 + 0.797855*eody^2 + 2.349905 tod30= 0.00693*eody^6 - 0.0961*eody^5 + 0.492742*eody^4 - 1.030384*eody^3 + 0.15401*eody^2 + 2.551603*eody - 1.21106 tod40= 0.000962*eody^6 - 0.01667*eody^5 + 0.085977*eody^4 - 0.031165*eody^3 - 1.04402*eody^2 + 3.216258*eody - 1.3457 tod60= -0.000456*eody^6 + 0.003667*eody^5 - 0.025676*eody^4 + 0.258985*eody^3 - 1.399535*eody^2 + 3.411706*eody - 1.3
Kbry1= IF(tod <0.15, tod15 - (tod15-tod12)*(0.15-tod)/0.03, IF(tod <0.2, tod20 - (tod20-tod15)*(0.2-tod)/0.05, IF(tod <0.3, tod3 Kbry= IF(tod <0.08, tod08 - (tod08-tod06)*(0.08-tod)/0.02, IF(tod <0.1, tod10 - (tod10-tod08)*(0.1-tod)/0.02, IF(tod <0.12, tod =RETURN(Kbry) KTR =ARGUMENT("curve") =ARGUMENT("aoa")
cur1= 0.227625*aoa^4 - 0.600649*aoa^3 + 0.306311*aoa^2 + 1.323712*aoa - 0.000393 cur2= -0.292245*aoa^4 + 0.478488*aoa^3 - 0.372903*aoa^2 + 1.450732*aoa - 0.001771 cur3= IF(aoa<0.8, -5.46875*aoa^5 + 12.239583*aoa^4 - 10.052083*aoa^3 + 3.385417*aoa^2 + 0.985833*aoa, -3.333333*aoa^ cur4= -0.009291*aoa^3 - 0.326912*aoa^2 + 1.294336*aoa + 0.005105 cur5= -0.509223*aoa^5 + 1.608449*aoa^4 - 1.743797*aoa^3 + 0.369881*aoa^2 + 1.333404*aoa + 0.000018 cur6= IF(aoa<0.8,-1.229664739*aoa^3 + 0.824060352*aoa^2 + 1.211817348*aoa + 0.001388899,0.416666667*aoa^3 - 1.5964 cur7= IF(aoa<0.4,-0.25*aoa^2 + 1.4*aoa,1.035666794807*aoa^5 - 5.361081861542*aoa^4 + 11.089276274422*aoa^3 - 11.528
Ktr=IF(curve=1,cur1,IF(curve=2,cur2,IF(curve=3,cur3,IF(curve=4,cur4,IF(curve=5,cur5,IF(curve=6,cur6,IF(curve=7,cur7,"ERRO =RETURN(Ktr)
D/t <= 2 D/t = 3 D/t = 4 D/t = 5 D/t = 6 D/t = 7 D/t = 8 D/t = 9 D/t = 10 D/t = 15 D/t = 20 D/t = 30
t/D = 0.06 t/D = 0.08 t/D = 0.10 t/D = 0.12 t/D = 0.15 t/D = 0.2 t/D = 0.3 t/D = 0.4 t/D >= 0.6
1.6 for e/D >= 2.6 1.45 for e/D >= 2.6
Doc:
Calc-001
Rev:
A
Page:
1
A.1.0.0 REFERENCES [1] E.F. Bruhn - "Analysis & Design of Flight Vehicle Structures", § D1.11 - D1.13. [2] N.S. Currey "Aircraft Landing Gear Design", Fig. 10.3 & Fig. 10.4 [3] McDonnell Douglas - Structural Design Manual Vol. II, § C3.0.0
A.2.0.0 INTRODUCTION
rmining Average Area of UnusuallyFig. Shaped, 1 Transversely Loaded Lugs Prepared by: A. Preparer
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A.2.0.0 INTRODUCTION (continued)
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A.2.0.0 INTRODUCTION (continued)
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A.3.0.0 LIMITATIONS 1. The KBR and KT curves are subject to limitations as per notes on individual charts. 2. Fig. 4 and Fig. 5 curves are valid for indicated materials only. 3. Values are for room temperature only.
For materials where KBR is unknown, the ultimate shear tear-out and bearing loads must be computed separately. A minimum margin of safety of 50% is required for bearing, thus, KBR = 0.50 is used. Ultimate shear tear-out should be computed from the equation: (Ref. [3]) PU = FSU AS where: FSU = Ultimate Shear Strength of the Lug Material AS = Shear-Out Area as Shown Below
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A.4.0.0 SHEAR OUT BEARING ULTIMATE STRENGTH 3
D/t
2.8 2.6
<=2 3
2.4
4
2.2
5
2
6
1.8
7
A
1.6
8
Kbru
9
1.4
10
1.2
B
1
15 0.8
20
0.6
30
0.4 0.2 0 0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
2.8
3
3.2
3.4
e/D KBRU Values of Shear-Bearing Efficiency Factors of Lugs Made From Fig. 2 Aluminum Alloys and Alloy Steel with FTU =< 160 ksi NOTES: 1. Curve A is a cutoff to be used for aluminum alloy hand-forged billet when the long transverse grain direction has the general direction C in the sketch. 2. Curve B is a cutoff to be used for the aluminum alloy plate, bar, and hand-forged billet when the short transverse grain direction has the general direction C in the sketch, and for die forgings when the lug contains the parting plane in a direction approximately normal to the direction C. 3. In addition to the limitations provided by curves 'A' and 'B', in no event shall Kbr greater than 2.0 be used for lugs made from 0.50 thick or thicker aluminum alloy plate, bar, or hand forged billet.
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A.5.0.0 SHEAR OUT BEARING YIELD STRENGTH
2.00
t/D >=0.6 0.4 0.3
1.80
1.60
0.2 0.15
1.40
0.12 0.10
1.20
0.08 KBRY1.00
0.06
0.80
0.60
0.40
0.20
0.00 0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
e/D KBRY Values of Shear-Bearing Efficiency Factors of Lugs Fig. 3 Valid For All Materials
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A.6.0.0 TENSILE STRENGTH ACROSS THE NET SECTION (AXIAL LOADING)
1
0.9
0.8
1
0.7
4
0.6
2 KT
0.5
0.4
0.3
0.2
0.1
0 0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
w/D
L , T , and N indicate grain in direction F in sketch. L = longitudinal T = long transverse, N = short transverse
Curve 1
4130 & 8630 and all other steels 2014-T6 & 7075-T6 plate =<0.5 in (L, LT) 7075-T6 bar and extrusion (L) 2014-T6 hand-forged billet =<144 in2 (L) 2014-T6 & 7075-T6 die forging (L)
Curve 2
2014-T6 & 7075-T6 plate >0.5 in =<1.0 in (L, LT) 7075-T6 extrusion (LT, ST) 7075-T6 hand-forged billet =<36 in2 (L) 2014-T6 hand-forged billet >144 in2 (L) 2014-T6 hand-forged billet =<36 in2 (LT) 2014-T6 & 7075-T6 die forgings (LT) Fig. 4
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Curve 4
2024-T3 & 2024-T4 plate (L, LT) 2014-T6 & 7075-T6 plate >1.0 in (L, LT) 2024-T4 bar (L, LT) 7075-T6 hand-forged billet >36 in2 (L) 7075-T6 hand-forged billet =<16 in2 (LT)
KT Values of Tension Efficiency Factors For Axially Loaded Lugs Date: 1-Oct-07
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A.7.0.0 TENSILE STRENGTH ACROSS THE NET SECTION (TRANSVERSE LOADING) 1.6
1
NOTES: 1. All curves are for KTRU, except the one noted KTRY 2. Do not use these curves for aluminum alloy lugs having the ST grain direction in the plane of the lug. 3. An additional M.S. of 0.15 over and above any casting or fitting factor is appropriate.
1.5 1.4 1.3
2
5
1.2
3
1.1 1.0
4
0.9
6
KTRU KTRY 0.8
7 0.7 0.6
A
0.5 0.4 0.3 0.2 0.1 0.0 0.0
0.1
0.2
0.3
0.4
0.5
0.6 0.7 AAV / ABR
0.8
0.9
1.0
1.1
1.2
1.3
Curve Nomencalture: 1. 4130 & 8630 Steels, 95 thru 125 ksi H.T. 2. 4130 Steel, 150 ksi H.T. 3. 4130 Steel, 180 ksi H.T. 4. 2024-T3 and -T4 Al Alloy Plate =<0.5" thk 5. KTRY for All Aluminum and Steel Alloys 6. 15-5PH Steel, H1025, FTU = 155 ksi 7. 2014-T6 & 7075-T6 Plate 0.5 in; Steel FTU = 200 ksi; Steel FTU = 260 ksi A Approximate Cantilever Strength for All Aluminum and Steel Alloys. If KTRU is Below this Curve a Separate Calculation as a Cantelever Beam is Warranted.
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KTR Values of Tension Efficiency Factors For Transversely Loaded Lugs Date: 1-Oct-07
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A.8.0.0 CALCULATIONS
Fz
Fx
FX =
31035 N
FZ =
0N
D= t= w= e=
25.48 10.00 38.00 19.00
mm mm mm mm
Axial Load
Limit or Ultimate
Transverse Load
Limit or Ultimate
Hole Diameter Lug Thickness Lug Width Edge Distance
L1 =
9.99 mm
Length 1, Refer to Fig. 1
L2 =
6.26 mm
Length 2, Refer to Fig. 1
L3 =
6.26 mm
Length 3, Refer to Fig. 1
L4 =
9.99 mm
Length 4, Refer to Fig. 1
Material =
Steel
FTU =
655 MPa
Ultimate Tensile Strength
FTY =
517 MPa
Yield Tensile Strength
Curve =
2
Select Curve From Fig. 4 (1, 2 or 4)
Curve =
6
Select Curve From Fig. 5 (1 thru 6)
A1 = A2 = A3 =
2 = L1t 99.9 mm #NAME? 2 = L2t 62.6 mm #NAME? 2
A4 =
= L3t 62.6 mm #NAME? 2 = L4t 99.9 mm #NAME?
AAV =
2 = #NAME? mm #NAME?
ABR = AT =
[Eqn. 1]
Area 1, Refer to Fig. 1
[Eqn. 2]
Area 2, Refer to Fig. 1
[Eqn. 3]
Area 3, Refer to Fig. 1
[Eqn. 4]
Area 4, Refer to Fig. 1
6 3 / A1 + 1 / A2 + 1 / A3 + 1 / A4
2 = Dt [Eqn. 6] 254.8 mm #NAME? 2 = (w - D)t [Eqn. 7] 125.2 mm #NAME?
[Eqn. 5]
Bearing Area Net Tension Area
Average Area
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A.8.0.0 CALCULATIONS (continued)
e/D =
w / D [Eqn. 8] 1.49 = #NAME? e / D [Eqn. 9] 0.75 = #NAME?
D/t =
D / t [Eqn. 10] 2.55 = #NAME?
w/D =
AAV/ABR =
AAV / ABR #NAME? = #NAME?
[Eqn. 11]
Shape Parameter
The following values use macros to read values from graphical data. KBRU = 0.45 Ultimate Shear-Bearing Efficiency Factor From Fig. 2 KBRY = 0.48 Yield Shear-Bearing Efficiency Factor From Fig. 3 KT =
0.98 Tension Efficiency Factor (Axial Loading), From Fig. 4
KTRU =
#NAME? Ultimate Tension Eff. Factor (Transverse Loading), From Fig. 5
KTRY =
#NAME? Yield Tension Efficiency Factor (Transverse Loading), From Fig. 5
Curve A Check: #NAME? For ultimate loading analysis: PBRU = = KBRUABRFTU [Eqn. 12] 75489 N#NAME? PTAU = = KTATFTU [Eqn. 13] 80476 N#NAME? PTRU = RA =
= KTRUABRFTU #NAME? N#NAME?
[Eqn. 14]
#NAME? = #NAME?FX
Ultimate Shear Out-Bearing Strength Ultimate Tensile Strength (Axial) Ultimate Tensile Strength (Transverse) Reserve Factor
[Eqn. 15]
min[PTAU , PBRU]
RTR = M.S. =
FZ / PTRU [Eqn. 16] #NAME? = #NAME? -1 #NAME? = #NAME? 1
Reserve Factor [Eqn. 17]
Margin of Safety
[RA1.6 + RTR1.6]0.625
For limit loading analysis: PBRY = = KBRY FTY ABR [Eqn. 18] 63505 N#NAME? PTAY = = KTATFTY [Eqn. 19] 63534 N#NAME? PTRY = = KTRY ABRFTY [Eqn. 20] #NAME? N#NAME? RA = RTR = M.S. =
#NAME? = #NAME?FX
Yield Shear Out-Bearing Strength Yield Tensile Strength (Axial) Yield Tensile Strength (Transverse)
[Eqn. 21]
min[PTAY , PBRY ] FZ / PTRY [Eqn. 22] #NAME? = #NAME? -1 #NAME? = #NAME? 1 [RA1.6 + RTR1.6]0.625
Reserve Factor Reserve Factor
[Eqn. 23]
Margin of Safety
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A.9.0.0 ADDITIONAL CALCULATIONS A.9.1.0 BUSHING YIELD tB
D DB
t
Bushing Material = FCY =
Steel 752 MPa
Compressive Yield Strength of the Bushing Material
D= t= DB =
12.7 mm 9.1 mm 15.9 mm
tB =
6.5 mm
Pin Diameter Pin Surface Length Bushing Diameter Bushing Surface Length
Bearing area in the bushing analysis is the smaller of the bearing areas of bushing on pin (Dt), or bushing on lug (DBtB). The latter may be smaller because of external chamfer, oil, grooves, etc. ABR PIN = ABR BUSH = P= PBRY = M.S. =
2 = Dt [Eqn. 24] 115.9 mm #NAME?
Pin Bearing Area
2 = DBtB 103.4 mm #NAME?
Bushing Bearing Area
[Eqn. 25]
31035 N#NAME? = (FX2 + FZ2)0.5
[Eqn. 26]
= 1.85FCY min(ABR PIN , ABR BUSH) [Eqn. 27] 143799 N#NAME? Allowable Yield Bushing Load PBRY - 1 [Eqn. 28] Margin of Safety #NAME? = #NAME?
P
A.9.2.0 STRENGTH DUE TO SIDE LOAD Determined by standard analysis methods. Use 10% of the total load: PSIDE =
Bushing Load
= 0.1P [Eqn. 29] 3104 N #NAME?
Side Load
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Stress Methods Strength of Lugs Under Oblique Loading A.9.3.0 BOLT OR PIN SHEAR STRENGTH Determined by standard analysis methods.
A.9.4.0 BOLT OR PIN BENDING STRENGTH Determined by standard analysis methods.
A.9.5.0 LUG CLAMP-UP
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2.30 2.20 2.10 2.00 1.90 1.80 1.70 1.60 1.50 1.40 1.30 1.20
1.10 1.00 0.90 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0.00 0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
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3
2.8 2.6 2.4 2.2
2 1.8 1.6 1.4
1.2 1 0.8
0.6 0.4 0.2 0 0.6
1
1.4
1.8
2.2
2.6
3
3.4
Kbr values: Shear-Bearing Efficiency Factors of Lugs Made From Aluminum Alloys and Alloy Steel with Ftu =< 160 ksi
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1
0.9
1 0.8
0.7
4
0.6
24 0.5
0.4
0.3
0.2
0.1
0 0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
5.5
Tension Efficiency Factors Kt for Axially Loaded Lugs
Same as Bruhn, Fig. D1.12
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1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
0
0
0.2
0.4
0.6
0.8
1
1.2
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1.4
1.2
y = 0.416666667x3 - 1.596428571x2 + 2.089047619x + 0.0048
1.0
0.8
0.6
0.4
0.2
0.0
0.0
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0.2
0.4
Date: 1-Oct-07
0.6
0.8
1.0
1.2
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1 Index 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
Material 2024-T3 Clad Flat Sheet and Plate, t = 0.008 - 0.009 2024-T3 Clad Flat Sheet and Plate, t = 0.010 - 0.062 2024-T3 Clad Flat Sheet and Plate, t = 0.063 - 0.128 2024-T3 Clad Flat Sheet and Plate, t = 0.129 - 0.249 2024-T3 Extruded bar, rod and shapes, t = <0.249 2024-T3 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T3 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T3 Extruded bar, rod and shapes, t = 0.750 - 1.499 2024-T3 Extruded bar, rod and shapes, t = 1.500 - 2.999 2024-T3 Extruded bar, rod and shapes, t = 3.000 - 4.499 2024-T3 Sheet, t = 0.008 - 0.009 2024-T3 Sheet, t = 0.010 - 0.128 2024-T3 Sheet, t = 0.129 - 0.249 2024-T351 Clad Flat Sheet and Plate, t = 0.250 - 0.499 2024-T351 Clad Flat Sheet and Plate, t = 0.500 - 1.000 2024-T351 Clad Flat Sheet and Plate, t = 1.001 - 1.500 2024-T351 Clad Flat Sheet and Plate, t = 1.501 - 2.000 2024-T351 Clad Flat Sheet and Plate, t = 2.001 - 3.000 2024-T351 Clad Flat Sheet and Plate, t = 3.001 - 4.000 2024-T351 Plate, t = 0.250 - 0.499 2024-T351 Plate, t = 0.500 - 1.000 2024-T351 Plate, t = 1.001 - 1.500 2024-T351 Plate, t = 1.501 - 2.000 2024-T351 Plate, t = 2.001 - 3.000 2024-T351 Plate, t = 3.001 - 4.000 2024-T3510 Extruded bar, rod and shapes, t = <0.249 2024-T3510 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T3510 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T3510 Extruded bar, rod and shapes, t = 0.750 - 1.499 2024-T3510 Extruded bar, rod and shapes, t = 1.500 - 2.999 2024-T3510 Extruded bar, rod and shapes, t = 3.000 - 4.499 2024-T3511 Extruded bar, rod and shapes, t = <0.249 2024-T3511 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T3511 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T3511 Extruded bar, rod and shapes, t = 0.750 - 1.499 2024-T3511 Extruded bar, rod and shapes, t = 1.500 - 2.999 2024-T3511 Extruded bar, rod and shapes, t = 3.000 - 4.499 2024-T4 Clad Coiled Sheet, t = 0.010 - 0.062 2024-T4 Clad Coiled Sheet, t = 0.010 - 0.062 2024-T42 Extruded bar, rod and shapes, t = < 0.249 2024-T42 Extruded bar, rod and shapes, t = 0.250 - 0.499 2024-T42 Extruded bar, rod and shapes, t = 0.500 - 0.749 2024-T42 Extruded bar, rod and shapes, t = 0.750 - 0.999 2024-T42 Extruded bar, rod and shapes, t = 1.000 - 1.249 2024-T42 Extruded bar, rod and shapes, t = 1.250 - 1.499 2024-T42 Extruded bar, rod and shapes, t = 1.500 - 1.749 2024-T42 Extruded bar, rod and shapes, t = 1.750 - 1.999 2024-T42 Extruded bar, rod and shapes, t = 2.000 - 2.249 2024-T42 Extruded bar, rod and shapes, t = 2.250 - 2.499
2
3
Ftu L 60,000 61,000 63,000 64,000 61,000 62,000 62,000 70,000 74,000 74,000 64,000 65,000 66,000 64,000 63,000 62,000 62,000 60,000 57,000 66,000 65,000 64,000 64,000 62,000 59,000 61,000 62,000 62,000 70,000 74,000 74,000 61,000 62,000 62,000 70,000 74,000 74,000 59,000 62,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000 57,000
Ftu LT 59,000 60,000 62,000 63,000 58,000 57,000 56,000 60,000 58,000 57,000 63,000 64,000 65,000 64,000 63,000 62,000 62,000 60,000 57,000 66,000 65,000 64,000 64,000 62,000 59,000 58,000 57,000 56,000 60,000 58,000 57,000 58,000 57,000 56,000 60,000 58,000 57,000 59,000 62,000 55,000 54,000 52,000 51,000 49,000 47,000 45,000 43,000 41,000 39,000
50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101
2024-T4 Coiled Sheet, t = 0.010 - 0.249 2024-T42 Clad Flat Sheet and Plate, t = 0.008 - 0.009 2024-T42 Clad Flat Sheet and Plate, t = 0.010 - 0.062 2024-T42 Clad Flat Sheet and Plate, t = 0.063 - 0.249 2024-T42 Clad Flat Sheet and Plate, t = 0.250 - 0.499 2024-T42 Clad Flat Sheet and Plate, t = 0.500 - 1.000 2024-T42 Clad Flat Sheet and Plate, t = 1.001 - 2.000 2024-T42 Flat Sheet and Plate, t = 0.010 - 0.249 2024-T42 Flat Sheet and Plate, t = 0.250 - 0.499 2024-T42 Flat Sheet and Plate, t = 0.500 - 1.000 2024-T42 Flat Sheet and Plate, t = 1.001 - 2.000 2024-T62 Clad Flat Sheet and Plate, t = 0.010 - 0.062 2024-T62 Clad Flat Sheet and Plate, t = 0.063 - 0.249 2024-T62 Clad Flat Sheet and Plate, t = 0.250 - 0.499 2024-T62 Flat Sheet and Plate, t = 0.010 - 0.249 2024-T62 Flat Sheet and Plate, t = 0.250 - 0.499 2024-T62 Flat Sheet and Plate, t = 0.500 - 2.000 7050-T7451 Plate, t = 0.250 - 1.500 7050-T7451 Plate, t = 1.501 - 2.000 7050-T7451 Plate, t = 2.001 - 3.000 7050-T7451 Plate, t = 3.001 - 4.000 7050-T7451 Plate, t = 4.001 - 5.000 7050-T7451 Plate, t = 5.001 - 6.000 7075-T6 Bar & Extrusion, t < 0.250 7075-T6 Bar & Extrusion, t = 0.250 - 0.499 7075-T6 Bar & Extrusion, t = 0.499 - 0.749 7075-T6 Bar & Extrusion, t = 0.750 - 1.499 7075-T6 Bar & Extrusion, t = 1.500 - 2.999 7075-T6 Bar & Extrusion, t = 3.000 - 4.499 7075-T6 Bar & Extrusion, t = 4.500 - 5.000 7075-T6 Clad Sheet, t = 0.012 - 0.039 7075-T6 Clad Sheet, t = 0.012 - 0.039 7075-T6 Clad Sheet, t = 0.040 - 0.062 7075-T6 Clad Sheet, t = 0.040 - 0.062 7075-T6 Clad Sheet, t = 0.063 - 0.187 7075-T6 Clad Sheet, t = 0.063 - 0.187 7075-T6 Clad Sheet, t = 0.188 - 0.249 7075-T6 Clad Sheet, t = 0.188 - 0.249 7075-T6 Sheet, t = 0.012 - 0.039 7075-T6 Sheet, t = 0.040 - 0.125 7075-T6 Sheet, t = 0.126 - 0.249 7075-T62 Sheet, t = 0.012 - 0.039 7075-T62 Sheet, t = 0.040 - 0.125 7075-T62 Sheet, t = 0.126 - 0.249 7075-T651 Plate, t = 0.250 - 0.499 7075-T651 Plate, t = 0.500 - 1.000 7075-T651 Plate, t = 1.001 - 1.500 7075-T651 Plate, t = 2.001 - 2.500 7075-T651 Plate, t = 2.501 - 3.000 7075-T651 Plate, t = 3.001 - 3.500 7075-T651 Plate, t = 3.501 - 4.000 7075-T73 Extrusion, t = 0.062 - 0.249
64,000 57,000 59,000 62,000 60,000 59,000 58,000 62,000 62,000 61,000 60,000 60,000 62,000 62,000 63,000 63,000 63,000 76,000 76,000 75,000 74,000 73,000 72,000 82,000 85,000 85,000 85,000 85,000 84,000 81,000 74,000 74,000 75,000 75,000 77,000 77,000 77,000 77,000 78,000 80,000 80,000 78,000 80,000 80,000 79,000 79,000 78,000 77,000 73,000 72,000 68,000 72,000
64,000 57,000 59,000 62,000 60,000 59,000 58,000 62,000 62,000 61,000 60,000 60,000 62,000 62,000 64,000 64,000 63,000 76,000 76,000 75,000 75,000 74,000 73,000 79,000 82,000 81,000 79,000 75,000 69,000 65,000 74,000 74,000 75,000 75,000 77,000 77,000 77,000 77,000 78,000 80,000 80,000 78,000 80,000 80,000 80,000 80,000 79,000 78,000 74,000 73,000 69,000 70,000
102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153
7075-T73 Extrusion, t = 0.250 - 0.499 7075-T73 Extrusion, t = 0.500 - 0.749 7075-T73 Extrusion, t = 0.750 - 1.499 7075-T73 Extrusion, t = 1.500 - 2.999 7075-T73 Extrusion, t = 3.000 - 4.499 7075-T73 Extrusion, t = 3.000 - 4.499, x-section > 20 sq. in 7075-T73 Sheet, t = 0.040 - 0.249, (S-Basis) 7075-T7351 Plate, t = 0.250 - 0.499, (S-Basis) 7075-T7351 Plate, t = 0.500 - 1.000, (A-Basis) 7075-T7351 Plate, t = 0.500 - 1.000, (B-Basis) 7075-T7351 Plate, t = 1.001 - 1.500, (A-Basis) 7075-T7351 Plate, t = 1.001 - 1.500, (B-Basis) 7075-T7351 Plate, t = 1.501 - 2.000, (A-Basis) 7075-T7351 Plate, t = 1.501 - 2.000, (B-Basis) 7075-T7351 Plate, t = 2.001 - 2.500, (A-Basis) 7075-T7351 Plate, t = 2.001 - 2.500, (B-Basis) 7075-T7351 Plate, t = 2.501 - 3.000, (A-Basis) 7075-T7351 Plate, t = 2.501 - 3.000, (B-Basis) 7075-T7351 Plate, t = 3.001 - 3.500, (S-Basis) 7075-T7351 Plate, t = 3.501 - 4.000, (S-Basis) 7075-T73510 Extrusion, t = 0.062 - 0.249 7075-T73510 Extrusion, t = 0.250 - 0.499 7075-T73510 Extrusion, t = 0.500 - 0.749 7075-T73510 Extrusion, t = 0.750 - 1.499 7075-T73510 Extrusion, t = 1.500 - 2.999 7075-T73510 Extrusion, t = 3.000 - 4.499 7075-T73510 Extrusion, t = 3.000 - 4.499, x-section > 20 sq in 7075-T73511 Extrusion, t = 0.062 - 0.249 7075-T73511 Extrusion, t = 0.250 - 0.499 7075-T73511 Extrusion, t = 0.500 - 0.749 7075-T73511 Extrusion, t = 0.750 - 1.499 7075-T73511 Extrusion, t = 1.500 - 2.999 7075-T73511 Extrusion, t = 3.000 - 4.499 7075-T73511 Extrusion, t = 3.000 - 4.499, x-section > 20 sq in 7150-T7751 Plate, t = 0.250 - 0.499 7150-T7751 Plate, t = 0.500 - 0.749 7150-T7751 Plate, t = 0.750 - 1.500 7150-T7751 Plate, t = 1.501 - 3.000 Ti-6Al-4V Bar, AMS 4928, Annealed, t < 0.500 Ti-6Al-4V Bar, AMS 4928, Annealed, t = 0.500 - 1.000 Ti-6Al-4V Bar, AMS 4928, Annealed, t = 1.001 - 2.000 Ti-6Al-4V Bar, AMS 4928, Annealed, t = 2.001 - 3.000 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t < 0.500 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 0.500 - 1.000 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 1.001 - 2.000 Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 2.001 - 3.000 Ti-6Al-4V Bar, MIL-T-9047, STA, t < 0.500 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 0.501 - 1.000 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 1.001 - 1.500 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 1.500 - 2.000 Ti-6Al-4V Bar, MIL-T-9047, STA, t = 2.001 - 3.000 Ti-6Al-4V Plate, Annealed, t = 0.1875 - 2.000
74,000 73,000 73,000 74,000 71,000 70,000 67,000 68,000 68,000 70,000 67,000 69,000 66,000 68,000 65,000 67,000 63,000 65,000 62,000 60,000 72,000 74,000 73,000 73,000 74,000 71,000 70,000 72,000 74,000 73,000 73,000 74,000 71,000 70,000 80,000 83,000 84,000 84,000 135,000 142,000 140,000 138,000 130,000 142,000 140,000 138,000 160,000 155,000 150,000 145,000 140,000 135,000
72,000 70,000 69,000 67,000 61,000 60,000 67,000 69,000 69,000 71,000 68,000 70,000 67,000 69,000 66,000 68,000 64,000 66,000 63,000 61,000 70,000 72,000 70,000 69,000 67,000 61,000 60,000 70,000 72,000 70,000 69,000 67,000 61,000 60,000 80,000 83,000 84,000 84,000 135,000 144,000 143,000 142,000 130,000 144,000 143,000 142,000 160,000 155,000 150,000 145,000 140,000 138,000
154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198
Ti-6Al-4V Plate, Annealed, t = 2.001 - 4.000 Ti-6Al-4V Plate, STA, t = 0.1875 - 0.750 Ti-6Al-4V Plate, STA, t = 0.751 - 1.000 Ti-6Al-4V Plate, STA, t = 1.001 - 2.000 17-4PH H900 Sheet & Plate, t < 4.0 17-4PH H925 Sheet & Plate, t < 4.0 17-4PH H1025 Sheet & Plate, t < 4.0 17-4PH H1075 Sheet & Plate, t < 4.0 17-4PH H1100 Sheet & Plate, t < 4.0 17-4PH H1150 Sheet & Plate, t < 4.0 17-4PH H900 Forging, Tubing, and Rings, t < 8.0 17-4PH H925 Forging, Tubing, and Rings, t < 8.0 17-4PH H1025 Forging, Tubing, and Rings, t < 8.0 17-4PH H1075 Forging, Tubing, and Rings, t < 8.0 17-4PH H1100 Forging, Tubing, and Rings, t < 8.0 17-4PH H1150 Forging, Tubing, and Rings, t < 8.0 17-4PH H1150M Forging, Tubing, and Rings, t < 8.0 17-4PH H900 Bar, t < 8.0 17-4PH H925 Bar, t < 8.0 17-4PH H1025 Bar, t < 8.0 17-4PH H1075 Bar, t < 8.0 17-4PH H1100 Bar, t < 8.0 17-4PH H1150 Bar, t < 8.0 17-4PH H1150M Bar, t < 8.0 4130 Sheet, Strip, Plate, Tubing, t =< 0.188 4130 Sheet, Strip, Plate, Tubing, t > 0.188 4130 Tubing, t =< 0.188 4130 Tubing, t =< 0.188 4130 Tubing, all walls 15-5PH H1025 Bar t =< 12 15-5PH H1150 Bar t =< 12 7075-T62 Plate, t = 0.500 - 1.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t < 1.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t < 1.000 (B-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 1.001 - 2.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 1.001 - 2.000 (B-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 2.001 - 3.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 2.001 - 3.000 (B-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 3.001 - 4.000 (A-Basis) 7075-T6, T651, T62 Bar, Rod, and Shapes, t = 3.001 - 4.000 (B-Basis) 7075-T73 or T7351 Bar, Rod, and Shapes, t = 0.375 - 2.000 (S-Basis) 7075-T73 or T7351 Bar, Rod, and Shapes, t = 2.000 - 3.000 (S-Basis)
137,000 160,000 150,000 145,000
195,000 178,000 155,000 150,000 140,000 134,000 115,000 95,000 90,000 125,000 150,000 180,000 155,000 135,000 74,000 77,000 79,000 77,000 79,000 77,000 79,000 77,000 79,000 68,000 68,000
137,000 160,000 150,000 145,000 190,000 170,000 155,000 145,000 140,000 135,000 190,000 170,000 155,000 145,000 140,000 135,000 115,000
155,000 135,000 78,000 77,000 79,000 75,000 77,000 72,000 74,000 69,000 71,000 65,000
4
5
6
7
8
Ftu ST
Fty L 45,000 45,000 47,000 47,000 47,000 47,000 47,000 54,000 54,000 54,000 47,000 48,000 48,000 48,000 48,000 48,000 47,000 46,000 41,000 50,000 50,000 50,000 49,000 48,000 46,000 47,000 47,000 47,000 54,000 54,000 54,000 47,000 47,000 47,000 54,000 54,000 54,000 38,000 39,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000
Fty LT 40,000 40,000 42,000 42,000 41,000 40,000 39,000 43,000 41,000 41,000 42,000 43,000 43,000 42,000 42,000 42,000 42,000 42,000 41,000 44,000 44,000 44,000 44,000 44,000 43,000 41,000 40,000 39,000 43,000 41,000 41,000 41,000 40,000 39,000 43,000 41,000 41,000 38,000 39,000 36,000 35,000 34,000 33,000 32,000 31,000 30,000 29,000 28,000 27,000
Fty ST
Fcy L 37,000 37,000 39,000 39,000 38,000 39,000 40,000 48,000 50,000 51,000 39,000 40,000 40,000 39,000 39,000 39,000 38,000 37,000 35,000 41,000 41,000 40,000 40,000 39,000 37,000 38,000 39,000 40,000 48,000 50,000 51,000 38,000 39,000 40,000 48,000 50,000 51,000 38,000 39,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000 38,000
9
10
11
12
Fsu 37,000 38,000 39,000 40,000 31,000 32,000 31,000 35,000 36,000 35,000 39,000 40,000 41,000 38,000 37,000 37,000 37,000 35,000 34,000 39,000 38,000 38,000 38,000 37,000 35,000 31,000 32,000 31,000 35,000 36,000 35,000 31,000 32,000 31,000 35,000 36,000 35,000 37,000 39,000 29,000 29,000 29,000 29,000 29,000 29,000 28,000 27,000 26,000 24,000
Fbru (1.5) 97,000 99,000 102,000 104,000 90,000 81,000 80,000 90,000 93,000 91,000 104,000 106,000 107,000 97,000 95,000 94,000 94,000 91,000 86,000 100,000 98,000 97,000 97,000 94,000 89,000 90,000 81,000 80,000 90,000 93,000 91,000 90,000 81,000 80,000 90,000 93,000 91,000 97,000 102,000 81,000 80,000 79,000 77,000 75,000 74,000 71,000 69,000 67,000 64,000
IMPERIAL UNITS [psi] Fcy LT 43,000 43,000 45,000 45,000 45,000 44,000 43,000 47,000 44,000 43,000 45,000 46,000 46,000 45,000 45,000 44,000 44,000 43,000 41,000 47,000 47,000 46,000 46,000 45,000 43,000 45,000 44,000 43,000 47,000 44,000 43,000 45,000 44,000 43,000 47,000 44,000 43,000 38,000 39,000 39,000 38,000 37,000 36,000 35,000 34,000 33,000 31,000 30,000 29,000
Fcy ST
42,000 35,000 35,000 38,000 36,000 36,000 36,000 38,000 38,000 38,000 38,000 47,000 49,000 49,000 50,000 50,000 50,000 67,000 66,000 66,000 65,000 65,000 63,000 74,000 77,000 76,000 76,000 76,000 74,000 71,000 65,000 65,000 66,000 66,000 69,000 69,000 68,000 68,000 72,000 72,000 73,000 72,000 72,000 73,000 71,000 72,000 71,000 68,000 65,000 62,000 58,000 61,000
42,000 35,000 35,000 38,000 36,000 36,000 36,000 38,000 38,000 38,000 38,000 47,000 49,000 49,000 50,000 50,000 50,000 66,000 66,000 66,000 65,000 64,000 62,000 70,000 72,000 71,000 69,000 65,000 59,000 55,000 63,000 63,000 64,000 64,000 67,000 67,000 66,000 66,000 70,000 70,000 71,000 70,000 70,000 71,000 69,000 70,000 69,000 66,000 63,000 60,000 56,000 59,000
42,000 39,000 39,000 42,000 39,000 38,000 35,000 42,000 42,000 40,000 37,000 49,000 51,000 51,000 52,000 52,000 52,000 64,000 64,000 64,000 63,000 61,000 59,000 74,000 77,000 76,000 76,000 76,000 74,000 71,000 64,000 64,000 65,000 65,000 68,000 68,000 67,000 67,000 71,000 71,000 72,000 71,000 71,000 72,000 69,000 70,000 68,000 64,000 60,000 57,000 52,000 61,000
42,000 38,000 38,000 41,000 39,000 39,000 39,000 41,000 41,000 41,000 41,000 49,000 52,000 51,000 53,000 52,000 48,000 68,000 69,000 69,000 68,000 67,000 66,000 76,000 78,000 77,000 75,000 71,000 64,000 60,000 67,000 67,000 68,000 68,000 71,000 71,000 70,000 70,000 74,000 74,000 75,000 74,000 74,000 75,000 73,000 74,000 73,000 70,000 67,000 64,000 59,000 62,000
38,000 34,000 35,000 37,000 36,000 35,000 35,000 37,000 37,000 36,000 36,000 35,000 36,000 36,000 38,000 38,000 37,000 43,000 44,000 44,000 45,000 45,000 45,000 44,000 45,000 45,000 45,000 44,000 42,000 40,000 44,000 44,000 45,000 45,000 46,000 46,000 46,000 46,000 47,000 48,000 48,000 47,000 48,000 48,000 44,000 45,000 45,000 45,000 43,000 43,000 41,000 39,000
96,000 91,000 94,000 99,000 95,000 90,000 83,000 99,000 98,000 94,000 85,000 97,000 100,000 100,000 103,000 103,000 102,000 110,000 112,000 111,000 111,000 111,000 110,000 117,000 121,000 120,000 119,000 115,000 110,000 105,000 115,000 115,000 116,000 116,000 119,000 119,000 119,000 119,000 121,000 124,000 124,000 121,000 124,000 124,000 120,000 120,000 119,000 117,000 111,000 110,000 104,000 107,000
63,000 65,000 62,000 64,000 60,000 62,000 59,000 57,000
63,000 63,000 63,000 65,000 62,000 60,000 56,000 57,000 57,000 59,000 57,000 59,000 55,000 57,000 52,000 55,000 49,000 53,000 49,000 48,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 74,000 77,000 78,000 78,000 125,000 134,000 131,000 128,000 120,000 134,000 131,000 128,000 150,000 145,000 140,000 135,000 130,000 125,000
60,000 60,000 58,000 56,000 50,000 48,000 56,000 57,000 57,000 59,000 57,000 59,000 55,000 57,000 52,000 55,000 49,000 53,000 49,000 48,000 59,000 60,000 60,000 58,000 56,000 50,000 48,000 59,000 60,000 60,000 58,000 56,000 50,000 48,000 74,000 76,000 77,000 77,000 125,000 134,000 132,000 131,000 120,000 134,000 132,000 131,000 150,000 145,000 140,000 135,000 130,000 131,000
52,000 54,000 49,000 52,000 47,000 50,000 47,000 46,000
63,000 63,000 63,000 65,000 62,000 60,000 55,000 56,000 56,000 58,000 56,000 58,000 53,000 55,000 50,000 53,000 47,000 51,000 47,000 45,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 61,000 63,000 63,000 63,000 65,000 62,000 60,000 74,000 76,000 77,000 77,000 129,000 138,000 135,000
63,000 63,000 61,000 59,000 53,000 51,000 58,000 59,000 59,000 61,000 59,000 61,000 57,000 59,000 54,000 57,000 51,000 55,000 51,000 50,000 62,000 63,000 63,000 61,000 59,000 53,000 51,000 62,000 63,000 63,000 61,000 59,000 53,000 51,000 77,000 79,000 81,000 82,000
124,000 138,000 135,000
124,000
59,000 61,000 55,000 58,000 51,000 55,000 50,000 48,000
40,000 39,000 39,000 40,000 38,000 38,000 38,000 38,000 38,000 39,000 38,000 40,000 39,000 40,000 39,000 40,000 38,000 39,000 38,000 37,000 39,000 40,000 39,000 39,000 40,000 38,000 38,000 39,000 40,000 39,000 39,000 40,000 38,000 38,000 46,000 47,000 48,000 48,000 83,000 87,000 86,000
110,000 108,000 107,000 106,000 99,000 98,000 105,000 102,000 103,000 106,000 103,000 106,000 102,000 106,000 102,000 105,000 100,000 103,000 99,000 96,000 107,000 110,000 108,000 107,000 106,000 99,000 98,000 107,000 110,000 108,000 107,000 106,000 99,000 98,000 119,000 124,000 125,000 125,000 201,000 212,000 209,000
80,000 87,000 86,000
194,000 212,000 209,000
92,000
129,000
142,000
84,000
214,000
123,000 145,000 140,000 135,000
175,000 167,000 145,000 143,000 115,000 115,000 75,000 75,000 70,000 100,000 135,000 165,000 145,000 105,000 66,000 66,000 68,000 66,000 68,000 66,000 68,000 66,000 68,000 56,000 56,000
129,000 145,000 140,000 135,000 170,000 155,000 145,000 125,000 115,000 105,000 170,000 155,000 145,000 125,000 115,000 105,000 75,000
145,000 105,000 68,000 66,000 68,000 66,000 68,000 63,000 65,000 60,000 62,000 52,000
127,000 150,000 145,000
140,000
84,000 93,000 87,000
217,000 248,000 233,000
175,000
126,000
322,000
139,000
95,000
263,000
104,000
85,000
228,000
75,000 70,000 109,000 141,000 173,000 143,000 99,000 70,000 64,000 66,000 64,000 66,000 64,000 66,000 64,000 66,000 54,000 54,000
57,000 54,000 75,000 90,000 108,000 97,000 85,000 44,000 46,000 47,000 46,000 47,000 46,000 47,000 46,000 47,000 42,000 40,000
194,000 231,000 277,000 263,000 230,000 117,000 100,000 103,000 100,000 103,000 100,000 103,000 100,000 103,000 101,000 101,000
143,000 99,000 71,000
55,000
13
14
15
Fbru (2.0) Fbry (1.5) Fbry (2.0) 121,000 70,000 84,000 123,000 70,000 84,000 127,000 73,000 88,000 129,000 73,000 88,000 114,000 68,000 79,000 101,000 59,000 71,000 101,000 59,000 71,000 113,000 67,000 81,000 118,000 66,000 80,000 115,000 65,000 78,000 129,000 73,000 88,000 131,000 75,000 90,000 133,000 75,000 90,000 119,000 72,000 86,000 117,000 72,000 86,000 115,000 72,000 86,000 115,000 72,000 86,000 111,000 72,000 86,000 106,000 70,000 84,000 122,000 76,000 90,000 120,000 76,000 90,000 119,000 76,000 90,000 119,000 76,000 90,000 115,000 76,000 90,000 109,000 74,000 88,000 114,000 68,000 79,000 101,000 59,000 71,000 101,000 59,000 71,000 113,000 67,000 81,000 118,000 66,000 80,000 115,000 65,000 78,000 114,000 68,000 79,000 101,000 59,000 71,000 101,000 59,000 71,000 113,000 67,000 81,000 118,000 66,000 80,000 115,000 65,000 78,000 121,000 66,000 80,000 127,000 68,000 82,000 99,000 59,000 69,000 98,000 55,000 67,000 97,000 53,000 65,000 95,000 51,000 63,000 93,000 49,000 61,000 91,000 47,000 59,000 89,000 44,000 56,000 86,000 41,000 53,000 83,000 39,000 50,000 81,000 36,000 47,000
16 e (%)
17
18
19
20
E primary E second Ec primary Ec second
21 G
122,000 113,000 117,000 123,000 119,000 117,000 115,000 123,000 123,000 121,000 119,000 126,000 130,000 130,000 134,000 134,000 132,000 144,000 146,000 144,000 144,000 144,000 142,000 148,000 153,000 152,000 151,000 148,000 142,000 136,000 148,000 148,000 150,000 150,000 154,000 154,000 154,000 154,000 156,000 160,000 160,000 156,000 160,000 160,000 148,000 148,000 147,000 145,000 137,000 135,000 128,000 137,000
59,000 61,000 61,000 67,000 63,000 63,000 63,000 67,000 67,000 67,000 67,000 75,000 79,000 79,000 80,000 80,000 80,000 89,000 92,000 93,000 94,000 95,000 94,000 97,000 101,000 99,000 98,000 94,000 88,000 83,000 94,000 94,000 96,000 96,000 100,000 100,000 99,000 99,000 105,000 105,000 106,000 105,000 105,000 106,000 100,000 103,000 103,000 101,000 97,000 93,000 87,000 86,000
67,000 74,000 74,000 80,000 76,000 76,000 76,000 80,000 80,000 80,000 80,000 89,000 93,000 93,000 95,000 95,000 95,000 104,000 107,000 109,000 109,000 110,000 108,000 114,000 119,000 117,000 116,000 112,000 105,000 100,000 110,000 110,000 112,000 112,000 117,000 117,000 115,000 115,000 122,000 122,000 124,000 122,000 122,000 124,000 118,000 120,000 120,000 117,000 112,000 108,000 103,000 102,000
141,000 139,000 138,000 138,000 130,000 128,000 134,000 131,000 132,000 136,000 132,000 136,000 132,000 136,000 131,000 135,000 128,000 132,000 127,000 124,000 137,000 141,000 139,000 138,000 138,000 130,000 128,000 137,000 141,000 139,000 138,000 138,000 130,000 128,000 154,000 160,000 162,000 162,000 253,000 266,000 262,000
89,000 88,000 87,000 87,000 79,000 76,000 84,000 79,000 81,000 83,000 83,000 86,000 82,000 85,000 79,000 83,000 76,000 81,000 76,000 76,000 86,000 89,000 88,000 87,000 87,000 79,000 76,000 86,000 89,000 88,000 87,000 87,000 79,000 76,000 102,000 105,000 106,000 108,000 177,000 190,000 186,000
105,000 105,000 103,000 103,000 94,000 91,000 102,000 95,000 97,000 100,000 99,000 102,000 97,000 101,000 93,000 99,000 89,000 96,000 89,000 88,000 102,000 105,000 105,000 103,000 103,000 94,000 91,000 102,000 105,000 105,000 103,000 103,000 94,000 91,000 117,000 120,000 121,000 123,000 205,000 220,000 215,000
244,000 266,000 262,000
170,000 190,000 186,000
197,000 220,000 215,000
276,000
179,000
212,000
8 7 7 6 6 6 6 6 6
1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07
1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07 1.06E+07
274,000 308,000 289,000
176,000 210,000 203,000
209,000 243,000 235,000
390,000
262,000
288,000
332,000
211,000
250,000
289,000
175,000
208,000
146,000 210,000 257,000 211,000 166,000 100,000 86,000 88,000 86,000 88,000 86,000 88,000 86,000 88,000 81,000 81,000
129,000 120,000 175,000 232,000 284,000 250,000 201,000 117,000 92,000 95,000 92,000 95,000 92,000 95,000 92,000 95,000 100,000 100,000
200,000 190,000 251,000 285,000 342,000 332,000 293,000 145,000 123,000 126,000 123,000 126,000 123,000 126,000 123,000 126,000 131,000 131,000
10 15 12 10 8 12 16 7 7 7 7 7 7 7 7 7 7 7
2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07 1.03E+07
2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 2.9E+07 1.06E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07 1.05E+07
1.1E+07 1.1E+07 1.1E+07 1.1E+07 1.1E+07 1.1E+07 1.1E+07 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06 3.90E+06
22
23
24
Ref. Bruhn, Table B1.1
m
F0.7
F0.85
Specification Notes: AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/3 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/4 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/5 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/6 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/7 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/8 3.2.3.0(j1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS QQ-A-250/5 Table 3.2.3.0(e1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4037 / AMS QQ-A-250/4 Table 3.2.3.0(b1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/3 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/4 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/5 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/6 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/7 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/8 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/3 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/4 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/5 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/6 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/7 3.2.3.0(j1), MIL-HDBK-5J AMS 4152 / AMS 4164 / AMS 4165 /Table AMS QQ-A-200/8 3.2.3.0(j1), MIL-HDBK-5J AMS-QQ-A-250/5 Table 3.2.3.0(e2), MIL-HDBK-5J AMS-QQ-A-250/5 Table 3.2.3.0(e2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J AMS QQ-A-200/3 Table 3.2.3.0(j2), MIL-HDBK-5J
AMS QQ-A-250/4 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS 4035 / AMS QQ-A-250/4 AMS 4035 / AMS QQ-A-250/4 AMS 4035 / AMS QQ-A-250/4 AMS 4035 / AMS QQ-A-250/4 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS-QQ-A-250/5 AMS QQ-A-250/4 AMS QQ-A-250/4 AMS QQ-A-250/4 AMS 4050 AMS 4050 AMS 4050 AMS 4050 AMS 4050 AMS 4050 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS 4049 AMS-QQ-A-250/13 AMS 4049 AMS-QQ-A-250/13 AMS 4049 AMS-QQ-A-250/13 AMS 4049 AMS-QQ-A-250/13 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS 4045 / AMS QQ-A-250/12 AMS QQ-A-200/11
Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(e3), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.2.3.0(b2), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.4.0(b1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(g1), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(c1), MIL-HDBK-5J Table 3.7.6.0(c2), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(b1), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J
0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33
AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/13 AMS 4078 and AMS QQ-A-250/14 AMS 4078 and AMS QQ-A-250/15 AMS 4078 and AMS QQ-A-250/16 AMS 4078 and AMS QQ-A-250/17 AMS 4078 and AMS QQ-A-250/18 AMS 4078 and AMS QQ-A-250/19 AMS 4078 and AMS QQ-A-250/20 AMS 4078 and AMS QQ-A-250/21 AMS 4078 and AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/12 AMS 4078 and AMS QQ-A-250/12 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS QQ-A-200/11 AMS 4252 AMS 4252 AMS 4252 AMS 4252 AMS 4928 AMS 4928 AMS 4928 AMS 4928 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 MIL-T-9047 AMS 4911 / AMS-T-9046
Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(b3), MIL-HDBK-5J Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(b3), MMPDS-01 Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.6.0(g2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 3.7.7.0(b2), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c1), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(c2), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(d), MIL-HDBK-5J Table 5.4.1.0(b), MIL-HDBK-5J
0.32 0.32 0.32 0.32 0.32 0.27 0.27 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33 0.33
61,500 111,000 145,000 179,000
AMS 4911 / AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS-T-9046 Table 5.4.1.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5604 Table 2.6.9.0(b), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(d), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS 5643 Table 2.6.9.0(e), MIL-HDBK-5J AMS6360, 6373, 6374, AMS -T-6736, Table AMS2.3.1.0(c1), -S-18729 MIL-HDBK-5J 53,000 AMS6360, 6373, 6374, AMS -T-6736, Table AMS2.3.1.0(c1), -S-18729 MIL-HDBK-5J 102,000 AMS6361, AMS-T-6736 Table 2.3.1.0(c2), MIL-HDBK-5J 140,000 AMS6362, AMS-T-6736 Table 2.3.1.0(c2), MIL-HDBK-5J 176,000 AMS-T-6736 AMS 5659 Table 2.6.7.0(b), MMPDS-01 AMS 5659 Table 2.6.7.0(b), MMPDS-01 AMS 4044 / AMS QQ-A-250/12 Table 3.7.6.0(b2), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4124 and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01 AMS 4124 and AMS-QQ-A-225/9 Table 3.7.6.0(d), MMPDS-01
0.00 0.00
SI UNITS [MPa] FtuL 413.69 420.58 434.37 441.26 420.58 427.47 427.47 482.63 510.21 510.21 441.26 448.16 455.05 441.26 434.37 427.47 427.47 413.69 393.00 455.05 448.16 441.26 441.26 427.47 406.79 420.58 427.47 427.47 482.63 510.21 510.21 420.58 427.47 427.47 482.63 510.21 510.21 406.79 427.47 393.00 393.00 393.00 393.00 393.00 393.00 393.00 393.00 393.00 393.00
FtuLT 406.79 413.69 427.47 434.37 399.90 393.00 386.11 413.69 399.90 393.00 434.37 441.26 448.16 441.26 434.37 427.47 427.47 413.69 393.00 455.05 448.16 441.26 441.26 427.47 406.79 399.90 393.00 386.11 413.69 399.90 393.00 399.90 393.00 386.11 413.69 399.90 393.00 406.79 427.47 379.21 372.32 358.53 351.63 337.84 324.05 310.26 296.47 282.69 268.90
FtyL 310.26 310.26 324.05 324.05 324.05 324.05 324.05 372.32 372.32 372.32 324.05 330.95 330.95 330.95 330.95 330.95 324.05 317.16 282.69 344.74 344.74 344.74 337.84 330.95 317.16 324.05 324.05 324.05 372.32 372.32 372.32 324.05 324.05 324.05 372.32 372.32 372.32 262.00 268.90 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00
FtyLT 275.79 275.79 289.58 289.58 282.69 275.79 268.90 296.47 282.69 282.69 289.58 296.47 296.47 289.58 289.58 289.58 289.58 289.58 282.69 303.37 303.37 303.37 303.37 303.37 296.47 282.69 275.79 268.90 296.47 282.69 282.69 282.69 275.79 268.90 296.47 282.69 282.69 262.00 268.90 248.21 241.32 234.42 227.53 220.63 213.74 206.84 199.95 193.05 186.16
FcyL 255.11 255.11 268.90 268.90 262.00 268.90 275.79 330.95 344.74 351.63 268.90 275.79 275.79 268.90 268.90 268.90 262.00 255.11 241.32 282.69 282.69 275.79 275.79 268.90 255.11 262.00 268.90 275.79 330.95 344.74 351.63 262.00 268.90 275.79 330.95 344.74 351.63 262.00 268.90 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00 262.00
FcyLT 296.47 296.47 310.26 310.26 310.26 303.37 296.47 324.05 303.37 296.47 310.26 317.16 317.16 310.26 310.26 303.37 303.37 296.47 282.69 324.05 324.05 317.16 317.16 310.26 296.47 310.26 303.37 296.47 324.05 303.37 296.47 310.26 303.37 296.47 324.05 303.37 296.47 262.00 268.90 268.90 262.00 255.11 248.21 241.32 234.42 227.53 213.74 206.84 199.95
Fsu 255.11 262.00 268.90 275.79 213.74 220.63 213.74 241.32 248.21 241.32 268.90 275.79 282.69 262.00 255.11 255.11 255.11 241.32 234.42 268.90 262.00 262.00 262.00 255.11 241.32 213.74 220.63 213.74 241.32 248.21 241.32 213.74 220.63 213.74 241.32 248.21 241.32 255.11 268.90 199.95 199.95 199.95 199.95 199.95 199.95 193.05 186.16 179.26 165.47
Fbru (1.5) Fbru (2.0) 668.79 834.27 682.58 848.06 703.27 875.63 717.05 889.42 620.53 786.00 558.48 696.37 551.58 696.37 620.53 779.11 641.21 813.58 627.42 792.90 717.05 889.42 730.84 903.21 737.74 917.00 668.79 820.48 655.00 806.69 648.11 792.90 648.11 792.90 627.42 765.32 592.95 730.84 689.48 841.16 675.69 827.37 668.79 820.48 668.79 820.48 648.11 792.90 613.63 751.53 620.53 786.00 558.48 696.37 551.58 696.37 620.53 779.11 641.21 813.58 627.42 792.90 620.53 786.00 558.48 696.37 551.58 696.37 620.53 779.11 641.21 813.58 627.42 792.90 668.79 834.27 703.27 875.63 558.48 682.58 551.58 675.69 544.69 668.79 530.90 655.00 517.11 641.21 510.21 627.42 489.53 613.63 475.74 592.95 461.95 572.26 441.26 558.48
441.26 393.00 406.79 427.47 413.69 406.79 399.90 427.47 427.47 420.58 413.69 413.69 427.47 427.47 434.37 434.37 434.37 524.00 524.00 517.11 510.21 503.32 496.42 565.37 586.05 586.05 586.05 586.05 579.16 558.48 510.21 510.21 517.11 517.11 530.90 530.90 530.90 530.90 537.79 551.58 551.58 537.79 551.58 551.58 544.69 544.69 537.79 530.90 503.32 496.42 468.84 496.42
441.26 393.00 406.79 427.47 413.69 406.79 399.90 427.47 427.47 420.58 413.69 413.69 427.47 427.47 441.26 441.26 434.37 524.00 524.00 517.11 517.11 510.21 503.32 544.69 565.37 558.48 544.69 517.11 475.74 448.16 510.21 510.21 517.11 517.11 530.90 530.90 530.90 530.90 537.79 551.58 551.58 537.79 551.58 551.58 551.58 551.58 544.69 537.79 510.21 503.32 475.74 482.63
289.58 241.32 241.32 262.00 248.21 248.21 248.21 262.00 262.00 262.00 262.00 324.05 337.84 337.84 344.74 344.74 344.74 461.95 455.05 455.05 448.16 448.16 434.37 510.21 530.90 524.00 524.00 524.00 510.21 489.53 448.16 448.16 455.05 455.05 475.74 475.74 468.84 468.84 496.42 496.42 503.32 496.42 496.42 503.32 489.53 496.42 489.53 468.84 448.16 427.47 399.90 420.58
289.58 241.32 241.32 262.00 248.21 248.21 248.21 262.00 262.00 262.00 262.00 324.05 337.84 337.84 344.74 344.74 344.74 455.05 455.05 455.05 448.16 441.26 427.47 482.63 496.42 489.53 475.74 448.16 406.79 379.21 434.37 434.37 441.26 441.26 461.95 461.95 455.05 455.05 482.63 482.63 489.53 482.63 482.63 489.53 475.74 482.63 475.74 455.05 434.37 413.69 386.11 406.79
289.58 268.90 268.90 289.58 268.90 262.00 241.32 289.58 289.58 275.79 255.11 337.84 351.63 351.63 358.53 358.53 358.53 441.26 441.26 441.26 434.37 420.58 406.79 510.21 530.90 524.00 524.00 524.00 510.21 489.53 441.26 441.26 448.16 448.16 468.84 468.84 461.95 461.95 489.53 489.53 496.42 489.53 489.53 496.42 475.74 482.63 468.84 441.26 413.69 393.00 358.53 420.58
289.58 262.00 262.00 282.69 268.90 268.90 268.90 282.69 282.69 282.69 282.69 337.84 358.53 351.63 365.42 358.53 330.95 468.84 475.74 475.74 468.84 461.95 455.05 524.00 537.79 530.90 517.11 489.53 441.26 413.69 461.95 461.95 468.84 468.84 489.53 489.53 482.63 482.63 510.21 510.21 517.11 510.21 510.21 517.11 503.32 510.21 503.32 482.63 461.95 441.26 406.79 427.47
262.00 234.42 241.32 255.11 248.21 241.32 241.32 255.11 255.11 248.21 248.21 241.32 248.21 248.21 262.00 262.00 255.11 296.47 303.37 303.37 310.26 310.26 310.26 303.37 310.26 310.26 310.26 303.37 289.58 275.79 303.37 303.37 310.26 310.26 317.16 317.16 317.16 317.16 324.05 330.95 330.95 324.05 330.95 330.95 303.37 310.26 310.26 310.26 296.47 296.47 282.69 268.90
661.90 627.42 648.11 682.58 655.00 620.53 572.26 682.58 675.69 648.11 586.05 668.79 689.48 689.48 710.16 710.16 703.27 758.42 772.21 765.32 765.32 765.32 758.42 806.69 834.27 827.37 820.48 792.90 758.42 723.95 792.90 792.90 799.79 799.79 820.48 820.48 820.48 820.48 834.27 854.95 854.95 834.27 854.95 854.95 827.37 827.37 820.48 806.69 765.32 758.42 717.05 737.74
841.16 779.11 806.69 848.06 820.48 806.69 792.90 848.06 848.06 834.27 820.48 868.74 896.32 896.32 923.90 923.90 910.11 992.85 1006.63 992.85 992.85 992.85 979.06 1020.42 1054.90 1048.00 1041.11 1020.42 979.06 937.69 1020.42 1020.42 1034.21 1034.21 1061.79 1061.79 1061.79 1061.79 1075.58 1103.16 1103.16 1075.58 1103.16 1103.16 1020.42 1020.42 1013.53 999.74 944.58 930.79 882.53 944.58
510.21 503.32 503.32 510.21 489.53 482.63 461.95 468.84 468.84 482.63 461.95 475.74 455.05 468.84 448.16 461.95 434.37 448.16 427.47 413.69 496.42 510.21 503.32 503.32 510.21 489.53 482.63 496.42 510.21 503.32 503.32 510.21 489.53 482.63 551.58 572.26 579.16 579.16 930.79 979.06 965.27 951.48 896.32 979.06 965.27 951.48 1103.16 1068.69 1034.21 999.74 965.27 930.79
496.42 482.63 475.74 461.95 420.58 413.69 461.95 475.74 475.74 489.53 468.84 482.63 461.95 475.74 455.05 468.84 441.26 455.05 434.37 420.58 482.63 496.42 482.63 475.74 461.95 420.58 413.69 482.63 496.42 482.63 475.74 461.95 420.58 413.69 551.58 572.26 579.16 579.16 930.79 992.85 985.95 979.06 896.32 992.85 985.95 979.06 1103.16 1068.69 1034.21 999.74 965.27 951.48
434.37 434.37 434.37 448.16 427.47 413.69 386.11 393.00 393.00 406.79 393.00 406.79 379.21 393.00 358.53 379.21 337.84 365.42 337.84 330.95 420.58 434.37 434.37 434.37 448.16 427.47 413.69 420.58 434.37 434.37 434.37 448.16 427.47 413.69 510.21 530.90 537.79 537.79 861.84 923.90 903.21 882.53 827.37 923.90 903.21 882.53 1034.21 999.74 965.27 930.79 896.32 861.84
413.69 413.69 399.90 386.11 344.74 330.95 386.11 393.00 393.00 406.79 393.00 406.79 379.21 393.00 358.53 379.21 337.84 365.42 337.84 330.95 406.79 413.69 413.69 399.90 386.11 344.74 330.95 406.79 413.69 413.69 399.90 386.11 344.74 330.95 510.21 524.00 530.90 530.90 861.84 923.90 910.11 903.21 827.37 923.90 910.11 903.21 1034.21 999.74 965.27 930.79 896.32 903.21
434.37 434.37 434.37 448.16 427.47 413.69 379.21 386.11 386.11 399.90 386.11 399.90 365.42 379.21 344.74 365.42 324.05 351.63 324.05 310.26 420.58 434.37 434.37 434.37 448.16 427.47 413.69 420.58 434.37 434.37 434.37 448.16 427.47 413.69 510.21 524.00 530.90 530.90 889.42 951.48 930.79 0.00 854.95 951.48 930.79
434.37 434.37 420.58 406.79 365.42 351.63 399.90 406.79 406.79 420.58 406.79 420.58 393.00 406.79 372.32 393.00 351.63 379.21 351.63 344.74 427.47 434.37 434.37 420.58 406.79 365.42 351.63 427.47 434.37 434.37 420.58 406.79 365.42 351.63 530.90 544.69 558.48 565.37
275.79 268.90 268.90 275.79 262.00 262.00 262.00 262.00 262.00 268.90 262.00 275.79 268.90 275.79 268.90 275.79 262.00 268.90 262.00 255.11 268.90 275.79 268.90 268.90 275.79 262.00 262.00 268.90 275.79 268.90 268.90 275.79 262.00 262.00 317.16 324.05 330.95 330.95 572.26 599.84 592.95
758.42 744.63 737.74 730.84 682.58 675.69 723.95 703.27 710.16 730.84 710.16 730.84 703.27 730.84 703.27 723.95 689.48 710.16 682.58 661.90 737.74 758.42 744.63 737.74 730.84 682.58 675.69 737.74 758.42 744.63 737.74 730.84 682.58 675.69 820.48 854.95 861.84 861.84 1385.85 1461.69 1441.00
972.16 958.37 951.48 951.48 896.32 882.53 923.90 903.21 910.11 937.69 910.11 937.69 910.11 937.69 903.21 930.79 882.53 910.11 875.63 854.95 944.58 972.16 958.37 951.48 951.48 896.32 882.53 944.58 972.16 958.37 951.48 951.48 896.32 882.53 1061.79 1103.16 1116.95 1116.95 1744.37 1834.01 1806.43
854.95
551.58 599.84 592.95
1337.58 1461.69 1441.00
1682.32 1834.01 1806.43
1475.48
1902.95
634.32
889.42
979.06
579.16
944.58 1103.16 1034.21 999.74
1344.48 1227.27 1068.69 1034.21 965.27 923.90 792.90 655.00 620.53 861.84 1034.21 1241.06 1068.69 930.79 510.21 530.90 544.69 530.90 544.69 530.90 544.69 530.90 544.69 468.84 468.84 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
944.58 1103.16 1034.21 999.74 1310.00 1172.11 1068.69 999.74 965.27 930.79 1310.00 1172.11 1068.69 999.74 965.27 930.79 792.90
1068.69 930.79 537.79 530.90 544.69 517.11 530.90 496.42 510.21 475.74 489.53 0.00 448.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
848.06 999.74 965.27 930.79
1206.58 1151.42 999.74 985.95 792.90 792.90 517.11 517.11 482.63 689.48 930.79 1137.63 999.74 723.95 455.05 455.05 468.84 455.05 468.84 455.05 468.84 455.05 468.84 386.11 386.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
889.42 999.74 965.27 930.79 1172.11 1068.69 999.74 861.84 792.90 723.95 1172.11 1068.69 999.74 861.84 792.90 723.95 517.11
999.74 723.95 468.84 455.05 468.84 455.05 468.84 434.37 448.16 413.69 427.47 0.00 358.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
875.63 1034.21 999.74
965.27
579.16 641.21 599.84
1496.16 1709.90 1606.48
1889.16 2123.59 1992.58
1206.58
868.74
2220.11
2688.96
958.37
655.00
1813.32
2289.06
717.05
586.05
1572.00
1992.58
517.11 482.63 751.53 972.16 1192.79 985.95 682.58 482.63 441.26 455.05 441.26 455.05 441.26 455.05 441.26 455.05 372.32 372.32 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
393.00 372.32 517.11 620.53 744.63 668.79 586.05 303.37 317.16 324.05 317.16 324.05 317.16 324.05 317.16 324.05 289.58 275.79 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1337.58 1592.69 1909.85 1813.32 1585.79 806.69 689.48 710.16 689.48 710.16 689.48 710.16 689.48 710.16 696.37 696.37 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
1378.95 1310.00 1730.58 1965.01 2358.01 2289.06 2020.16 999.74 848.06 868.74 848.06 868.74 848.06 868.74 848.06 868.74 903.21 903.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
985.95 682.58 489.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 379.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
0.00 0.00
Fbry (1.5) Fbry (2.0) 482.63 579.16 482.63 579.16 503.32 606.74 503.32 606.74 468.84 544.69 406.79 489.53 406.79 489.53 461.95 558.48 455.05 551.58 448.16 537.79 503.32 606.74 517.11 620.53 517.11 620.53 496.42 592.95 496.42 592.95 496.42 592.95 496.42 592.95 496.42 592.95 482.63 579.16 524.00 620.53 524.00 620.53 524.00 620.53 524.00 620.53 524.00 620.53 510.21 606.74 468.84 544.69 406.79 489.53 406.79 489.53 461.95 558.48 455.05 551.58 448.16 537.79 468.84 544.69 406.79 489.53 406.79 489.53 461.95 558.48 455.05 551.58 448.16 537.79 455.05 551.58 468.84 565.37 406.79 475.74 379.21 461.95 365.42 448.16 351.63 434.37 337.84 420.58 324.05 406.79 303.37 386.11 282.69 365.42 268.90 344.74 248.21 324.05
406.79 420.58 420.58 461.95 434.37 434.37 434.37 461.95 461.95 461.95 461.95 517.11 544.69 544.69 551.58 551.58 551.58 613.63 634.32 641.21 648.11 655.00 648.11 668.79 696.37 682.58 675.69 648.11 606.74 572.26 648.11 648.11 661.90 661.90 689.48 689.48 682.58 682.58 723.95 723.95 730.84 723.95 723.95 730.84 689.48 710.16 710.16 696.37 668.79 641.21 599.84 592.95
461.95 510.21 510.21 551.58 524.00 524.00 524.00 551.58 551.58 551.58 551.58 613.63 641.21 641.21 655.00 655.00 655.00 717.05 737.74 751.53 751.53 758.42 744.63 786.00 820.48 806.69 799.79 772.21 723.95 689.48 758.42 758.42 772.21 772.21 806.69 806.69 792.90 792.90 841.16 841.16 854.95 841.16 841.16 854.95 813.58 827.37 827.37 806.69 772.21 744.63 710.16 703.27
613.63 606.74 599.84 599.84 544.69 524.00 579.16 544.69 558.48 572.26 572.26 592.95 565.37 586.05 544.69 572.26 524.00 558.48 524.00 524.00 592.95 613.63 606.74 599.84 599.84 544.69 524.00 592.95 613.63 606.74 599.84 599.84 544.69 524.00 703.27 723.95 730.84 744.63 1220.37 1310.00 1282.42
723.95 723.95 710.16 710.16 648.11 627.42 703.27 655.00 668.79 689.48 682.58 703.27 668.79 696.37 641.21 682.58 613.63 661.90 613.63 606.74 703.27 723.95 723.95 710.16 710.16 648.11 627.42 703.27 723.95 723.95 710.16 710.16 648.11 627.42 806.69 827.37 834.27 848.06 1413.43 1516.85 1482.37
1172.11 1310.00 1282.42
1358.27 1516.85 1482.37
1234.16
1461.69
1213.48 1447.90 1399.64
1441.00 1675.43 1620.27
1806.43
1985.69
1454.79
1723.69
1206.58
1434.11
1006.63 1447.90 1771.95 1454.79 1144.53 689.48 592.95 606.74 592.95 606.74 592.95 606.74 592.95 606.74 558.48 558.48 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
889.42 827.37 1206.58 1599.58 1958.11 1723.69 1385.85 806.69 634.32 655.00 634.32 655.00 634.32 655.00 634.32 655.00 689.48 689.48 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
0.00 0.00
0.00 0.00
LUG =ARGUMENT("dot") =ARGUMENT("eod")
dot2= -0.0126*eod^4 + 0.163*eod^3 - 0.8816*eod^2 + 2.753*eod - 1.1713 dot3= 0.0078*eod^4 + 0.0014*eod^3 - 0.4684*eod^2 + 2.3458*eod - 1.0417 dot4= 0.0078*eod^4 - 0.0081*eod^3 - 0.4376*eod^2 + 2.2783*eod - 1.0072 dot5= 0.0078*eod^4 + 0.0069*eod^3 - 0.5432*eod^2 + 2.4277*eod - 1.063 dot6= 0.003*eod^4 + 0.0765*eod^3 - 0.8407*eod^2 + 2.8118*eod - 1.2036 dot7= 0.039842*eod^6 - 0.497358*eod^5 + 2.44588*eod^4 - 5.890413*eod^3 + 6.682546*eod^2 - 1.826088*eod - 0.118093 dot8= IF(eod<=2.6, 0.041538*eod^6 - 0.504557*eod^5 + 2.401564*eod^4 - 5.534742*eod^3 + 5.802325*eod^2 - 1.00697*eod dot9= IF(eod<=2.6, 0.031365*eod^6 - 0.369341*eod^5 + 1.673993*eod^4 - 3.51196*eod^3 + 2.778455*eod^2 + 1.161903*eod dot10= -0.015259*eod^6 + 0.230995*eod^5 - 1.421884*eod^4 + 4.59624*eod^3 - 8.412717*eod^2 + 8.624114*eod - 2.771632 dot15= -0.010173*eod^6 + 0.146171*eod^5 - 0.865604*eod^4 + 2.738825*eod^3 - 5.005151*eod^2 + 5.198546*eod - 1.617575 dot20= 0.005934*eod^6 - 0.0626*eod^5 + 0.229104*eod^4 - 0.238313*eod^3 - 0.53958*eod^2 + 1.613799*eod - 0.577742 dot30= 0.006782*eod^6 - 0.07825*eod^5 + 0.341693*eod^4 - 0.654707*eod^3 + 0.325732*eod^2 + 0.609647*eod - 0.270243
Kbru1= IF(dot >5, dot6 + (dot5-dot6)*(6-dot), IF(dot >4, dot5 + (dot4-dot5)*(5-dot), IF(dot >3, dot4 + (dot3-dot4)*(4-dot), IF(dot > Kbru= IF(dot >20, dot30 + (dot20-dot30)*(30-dot)/10, IF(dot >15, dot20 + (dot15-dot20)*(20-dot)/5, IF(dot >10, dot15 + (dot10-d =RETURN(Kbru) LUGY =ARGUMENT("tod") =ARGUMENT("eody")
tod06= IF(eody<2, -0.192254*eody^6 + 2.089333*eody^5 - 9.137778*eody^4 + 20.628333*eody^3 - 25.612111*eody^2 + 17.12 tod08= IF(eody<2, -0.013987*eody^6 + 0.213712*eody^5 - 1.328216*eody^4 + 4.32277*eody^3 - 7.886598*eody^2 + 7.895859 tod10= IF(eody<2, -0.000785*eody^6 + 0.03463*eody^5 - 0.381538*eody^4 + 1.872481*eody^3 - 4.71384*eody^2 + 6.085704*e tod12= -0.000805*eody^6 + 0.032613*eody^5 - 0.354604*eody^4 + 1.745642*eody^3 - 4.456158*eody^2 + 5.903931*eody - 2.0 tod15= 0.005728*eody^6 - 0.066822*eody^5 + 0.240879*eody^4 - 0.01953*eody^3 - 1.802447*eody^2 + 4.105903*eody - 1.614 tod20= IF(eody<2, 0.013006*eody^6 - 0.171883*eody^5 + 0.844848*eody^4 - 1.765645*eody^3 + 0.797855*eody^2 + 2.349905 tod30= 0.00693*eody^6 - 0.0961*eody^5 + 0.492742*eody^4 - 1.030384*eody^3 + 0.15401*eody^2 + 2.551603*eody - 1.21106 tod40= 0.000962*eody^6 - 0.01667*eody^5 + 0.085977*eody^4 - 0.031165*eody^3 - 1.04402*eody^2 + 3.216258*eody - 1.3457 tod60= -0.000456*eody^6 + 0.003667*eody^5 - 0.025676*eody^4 + 0.258985*eody^3 - 1.399535*eody^2 + 3.411706*eody - 1.3
Kbry1= IF(tod <0.15, tod15 - (tod15-tod12)*(0.15-tod)/0.03, IF(tod <0.2, tod20 - (tod20-tod15)*(0.2-tod)/0.05, IF(tod <0.3, tod3 Kbry= IF(tod <0.08, tod08 - (tod08-tod06)*(0.08-tod)/0.02, IF(tod <0.1, tod10 - (tod10-tod08)*(0.1-tod)/0.02, IF(tod <0.12, tod =RETURN(Kbry) KTR =ARGUMENT("curve") =ARGUMENT("aoa")
cur1= 0.227625*aoa^4 - 0.600649*aoa^3 + 0.306311*aoa^2 + 1.323712*aoa - 0.000393 cur2= -0.292245*aoa^4 + 0.478488*aoa^3 - 0.372903*aoa^2 + 1.450732*aoa - 0.001771 cur3= IF(aoa<0.8, -5.46875*aoa^5 + 12.239583*aoa^4 - 10.052083*aoa^3 + 3.385417*aoa^2 + 0.985833*aoa, -3.333333*aoa^ cur4= -0.009291*aoa^3 - 0.326912*aoa^2 + 1.294336*aoa + 0.005105 cur5= -0.509223*aoa^5 + 1.608449*aoa^4 - 1.743797*aoa^3 + 0.369881*aoa^2 + 1.333404*aoa + 0.000018 cur6= IF(aoa<0.8,-1.229664739*aoa^3 + 0.824060352*aoa^2 + 1.211817348*aoa + 0.001388899,0.416666667*aoa^3 - 1.5964 cur7= IF(aoa<0.4,-0.25*aoa^2 + 1.4*aoa,1.035666794807*aoa^5 - 5.361081861542*aoa^4 + 11.089276274422*aoa^3 - 11.528
Ktr=IF(curve=1,cur1,IF(curve=2,cur2,IF(curve=3,cur3,IF(curve=4,cur4,IF(curve=5,cur5,IF(curve=6,cur6,IF(curve=7,cur7,"ERRO =RETURN(Ktr)
D/t <= 2 D/t = 3 D/t = 4 D/t = 5 D/t = 6 D/t = 7 D/t = 8 D/t = 9 D/t = 10 D/t = 15 D/t = 20 D/t = 30
t/D = 0.06 t/D = 0.08 t/D = 0.10 t/D = 0.12 t/D = 0.15 t/D = 0.2 t/D = 0.3 t/D = 0.4 t/D >= 0.6
1.6 for e/D >= 2.6 1.45 for e/D >= 2.6
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