Aerospace Lug Analysis

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ProformaDocument:Calc-001Prepared:A. PreparerRevision:ADate:1-Oct-07Title:Stress MethodsAnnex:ASubtitleStrength of Lugs Under Oblique LoadingStress MethodsDoc:Calc-001Rev:AStrength of Lugs Under Oblique LoadingPage:11A.1.0.0REFERENCES1[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, C3.0.0A.2.0.0INTRODUCTION1Fig. 1Areas for Determining Average Area of Unusually Shaped, Transversely1Loaded LugsPrepared by:A. PreparerDate:1-Oct-07Checked by:___________________Date:__________Stress MethodsDoc:Calc-001Rev:AStrength of Lugs Under Oblique LoadingPage:22A.2.0.0INTRODUCTION (continued)Prepared by:A. PreparerDate:1-Oct-07Checked by:___________________Date:__________Stress MethodsDoc:Calc-001Rev:AStrength of Lugs Under Oblique LoadingPage:33A.2.0.0INTRODUCTION (continued)Prepared by:A. PreparerDate:1-Oct-07Checked by:___________________Date:__________Stress MethodsDoc:Calc-001Rev:AStrength of Lugs Under Oblique LoadingPage:44A.3.0.0LIMITATIONS11.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 loadsmust be computed separately. A minimum margin of safety of 50% is required forbearing, thus, KBR = 0.50 is used. Ultimate shear tear-out should be computed fromthe equation:(Ref. [3])PU = FSU ASwhere:FSU = Ultimate Shear Strength of the Lug MaterialAS = Shear-Out Area as Shown BelowPrepared by:A. PreparerDate:1-Oct-07Checked by:___________________Date:__________Stress MethodsDoc:Calc-001Rev:A.Strength of Lugs Under Oblique LoadingPage:44A.4.0.0SHEAR OUT BEARING ULTIMATE STRENGTH1Same as Bruhn, Fig. D1.13D/t = 0.6Test

0.86700.8970.0250.9150.0650.9230.140.9330.260.940.410.9430.50.590.7

Curve 6Cantelever

123456789101112131415161718192021222324IMPERIAL UNITS [psi]Ref. Bruhn, Table B1.1SI UNITS [MPa]IndexMaterialFtu LFtu LTFtu STFty LFty LTFty STFcy LFcy LTFcy STFsuFbru (1.5)Fbru (2.0)Fbry (1.5)Fbry (2.0)e (%)E primaryE secondEc primaryEc secondGmF0.7F0.85SpecificationNotes:FtuLFtuLTFtyLFtyLTFcyLFcyLTFsuFbru (1.5)Fbru (2.0)Fbry (1.5)Fbry (2.0)12024-T3 Clad Flat Sheet and Plate, t = 0.008 - 0.00960,00059,00045,00040,00037,00043,00037,00097,000121,00070,00084,000AMS QQ-A-250/5Table 3.2.3.0(e1), MIL-HDBK-5J413.69406.79310.26275.79255.11296.47255.11668.79834.27482.63579.1622024-T3 Clad Flat Sheet and Plate, t = 0.010 - 0.06261,00060,00045,00040,00037,00043,00038,00099,000123,00070,00084,000AMS QQ-A-250/5Table 3.2.3.0(e1), MIL-HDBK-5J420.58413.69310.26275.79255.11296.47262.00682.58848.06482.63579.1632024-T3 Clad Flat Sheet and Plate, t = 0.063 - 0.12863,00062,00047,00042,00039,00045,00039,000102,000127,00073,00088,000AMS QQ-A-250/5Table 3.2.3.0(e1), MIL-HDBK-5J434.37427.47324.05289.58268.90310.26268.90703.27875.63503.32606.7442024-T3 Clad Flat Sheet and Plate, t = 0.129 - 0.24964,00063,00047,00042,00039,00045,00040,000104,000129,00073,00088,000AMS QQ-A-250/5Table 3.2.3.0(e1), MIL-HDBK-5J441.26434.37324.05289.58268.90310.26275.79717.05889.42503.32606.7452024-T3 Extruded bar, rod and shapes, t = 20 sq in70,00060,00060,00048,00060,00051,00038,00098,000128,00076,00091,000AMS QQ-A-200/11Table 3.7.6.0(g2), MIL-HDBK-5J482.63413.69413.69330.95413.69351.63262.00675.69882.53524.00627.421367150-T7751 Plate, t = 0.250 - 0.49980,00080,00074,00074,00074,00077,00046,000119,000154,000102,000117,000AMS 4252Table 3.7.7.0(b2), MIL-HDBK-5J551.58551.58510.21510.21510.21530.90317.16820.481061.79703.27806.691377150-T7751 Plate, t = 0.500 - 0.74983,00083,00077,00076,00076,00079,00047,000124,000160,000105,000120,000AMS 4252Table 3.7.7.0(b2), MIL-HDBK-5J572.26572.26530.90524.00524.00544.69324.05854.951103.16723.95827.371387150-T7751 Plate, t = 0.750 - 1.50084,00084,00078,00077,00077,00081,00048,000125,000162,000106,000121,000AMS 4252Table 3.7.7.0(b2), MIL-HDBK-5J579.16579.16537.79530.90530.90558.48330.95861.841116.95730.84834.271397150-T7751 Plate, t = 1.501 - 3.00084,00084,00078,00077,00077,00082,00048,000125,000162,000108,000123,000AMS 4252Table 3.7.7.0(b2), MIL-HDBK-5J579.16579.16537.79530.90530.90565.37330.95861.841116.95744.63848.06140Ti-6Al-4V Bar, AMS 4928, Annealed, t < 0.500135,000135,000125,000125,000129,00083,000201,000253,000177,000205,000AMS 4928Table 5.4.1.0(c1), MIL-HDBK-5J930.79930.79861.84861.84889.42572.261385.851744.371220.371413.43141Ti-6Al-4V Bar, AMS 4928, Annealed, t = 0.500 - 1.000142,000144,000134,000134,000138,00087,000212,000266,000190,000220,000AMS 4928Table 5.4.1.0(c1), MIL-HDBK-5J979.06992.85923.90923.90951.48599.841461.691834.011310.001516.85142Ti-6Al-4V Bar, AMS 4928, Annealed, t = 1.001 - 2.000140,000143,000131,000132,000135,00086,000209,000262,000186,000215,000AMS 4928Table 5.4.1.0(c1), MIL-HDBK-5J965.27985.95903.21910.11930.79592.951441.001806.431282.421482.37143Ti-6Al-4V Bar, AMS 4928, Annealed, t = 2.001 - 3.000138,000142,000128,000131,000AMS 4928Table 5.4.1.0(c1), MIL-HDBK-5J951.48979.06882.53903.210.00144Ti-6Al-4V Bar, MIL-T-9047, Annealed, t < 0.500130,000130,000120,000120,000124,000124,00080,000194,000244,000170,000197,000MIL-T-9047Table 5.4.1.0(c2), MIL-HDBK-5J896.32896.32827.37827.37854.95854.95551.581337.581682.321172.111358.27145Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 0.500 - 1.000142,000144,000134,000134,000138,00087,000212,000266,000190,000220,000MIL-T-9047Table 5.4.1.0(c2), MIL-HDBK-5J979.06992.85923.90923.90951.48599.841461.691834.011310.001516.85146Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 1.001 - 2.000140,000143,000131,000132,000135,00086,000209,000262,000186,000215,000MIL-T-9047Table 5.4.1.0(c2), MIL-HDBK-5J965.27985.95903.21910.11930.79592.951441.001806.431282.421482.37147Ti-6Al-4V Bar, MIL-T-9047, Annealed, t = 2.001 - 3.000138,000142,000128,000131,000MIL-T-9047Table 5.4.1.0(c2), MIL-HDBK-5J951.48979.06882.53903.21148Ti-6Al-4V Bar, MIL-T-9047, STA, t < 0.500160,000160,000150,000150,00092,000MIL-T-9047Table 5.4.1.0(d), MIL-HDBK-5J1103.161103.161034.211034.21634.32149Ti-6Al-4V Bar, MIL-T-9047, STA, t = 0.501 - 1.000155,000155,000145,000145,000MIL-T-9047Table 5.4.1.0(d), MIL-HDBK-5J1068.691068.69999.74999.74150Ti-6Al-4V Bar, MIL-T-9047, STA, t = 1.001 - 1.500150,000150,000140,000140,000MIL-T-9047Table 5.4.1.0(d), MIL-HDBK-5J1034.211034.21965.27965.27151Ti-6Al-4V Bar, MIL-T-9047, STA, t = 1.500 - 2.000145,000145,000135,000135,000MIL-T-9047Table 5.4.1.0(d), MIL-HDBK-5J999.74999.74930.79930.79152Ti-6Al-4V Bar, MIL-T-9047, STA, t = 2.001 - 3.000140,000140,000130,000130,000MIL-T-9047Table 5.4.1.0(d), MIL-HDBK-5J965.27965.27896.32896.32153Ti-6Al-4V Plate, Annealed, t = 0.1875 - 2.000135,000138,000125,000131,000129,000142,00084,000214,000276,000179,000212,000AMS 4911 / AMS-T-9046Table 5.4.1.0(b), MIL-HDBK-5J930.79951.48861.84903.21889.42979.06579.161475.481902.951234.161461.69154Ti-6Al-4V Plate, Annealed, t = 2.001 - 4.000137,000137,000123,000129,000127,000140,00084,000217,000274,000176,000209,000AMS 4911 / AMS-T-9046Table 5.4.1.0(b), MIL-HDBK-5J944.58944.58848.06889.42875.63965.27579.161496.161889.161213.481441.00155Ti-6Al-4V Plate, STA, t = 0.1875 - 0.750160,000160,000145,000145,000150,00093,000248,000308,000210,000243,000AMS-T-9046Table 5.4.1.0(b), MIL-HDBK-5J1103.161103.16999.74999.741034.21641.211709.902123.591447.901675.43156Ti-6Al-4V Plate, STA, t = 0.751 - 1.000150,000150,000140,000140,000145,00087,000233,000289,000203,000235,000AMS-T-9046Table 5.4.1.0(b), MIL-HDBK-5J1034.211034.21965.27965.27999.74599.841606.481992.581399.641620.27157Ti-6Al-4V Plate, STA, t = 1.001 - 2.000145,000145,000135,000135,000AMS-T-9046Table 5.4.1.0(b), MIL-HDBK-5J999.74999.74930.79930.7915817-4PH H900 Sheet & Plate, t < 4.0190,000170,000AMS 5604Table 2.6.9.0(b), MIL-HDBK-5J1310.001172.1115917-4PH H925 Sheet & Plate, t < 4.0170,000155,000AMS 5604Table 2.6.9.0(b), MIL-HDBK-5J1172.111068.6916017-4PH H1025 Sheet & Plate, t < 4.0155,000145,000AMS 5604Table 2.6.9.0(b), MIL-HDBK-5J1068.69999.7416117-4PH H1075 Sheet & Plate, t < 4.0145,000125,000AMS 5604Table 2.6.9.0(b), MIL-HDBK-5J999.74861.8416217-4PH H1100 Sheet & Plate, t < 4.0140,000115,000AMS 5604Table 2.6.9.0(b), MIL-HDBK-5J965.27792.9016317-4PH H1150 Sheet & Plate, t < 4.0135,000105,000AMS 5604Table 2.6.9.0(b), MIL-HDBK-5J930.79723.9516417-4PH H900 Forging, Tubing, and Rings, t < 8.0190,000170,000AMS 5643Table 2.6.9.0(d), MIL-HDBK-5J1310.001172.1116517-4PH H925 Forging, Tubing, and Rings, t < 8.0170,000155,000AMS 5643Table 2.6.9.0(d), MIL-HDBK-5J1172.111068.6916617-4PH H1025 Forging, Tubing, and Rings, t < 8.0155,000145,000AMS 5643Table 2.6.9.0(d), MIL-HDBK-5J1068.69999.7416717-4PH H1075 Forging, Tubing, and Rings, t < 8.0145,000125,000AMS 5643Table 2.6.9.0(d), MIL-HDBK-5J999.74861.8416817-4PH H1100 Forging, Tubing, and Rings, t < 8.0140,000115,000AMS 5643Table 2.6.9.0(d), MIL-HDBK-5J965.27792.9016917-4PH H1150 Forging, Tubing, and Rings, t < 8.0135,000105,000AMS 5643Table 2.6.9.0(d), MIL-HDBK-5J930.79723.9517017-4PH H1150M Forging, Tubing, and Rings, t < 8.0115,00075,000AMS 5643Table 2.6.9.0(d), MIL-HDBK-5J792.90517.1117117-4PH H900 Bar, t < 8.0195,000175,000175,000126,000322,000390,000262,000288,000AMS 5643Table 2.6.9.0(e), MIL-HDBK-5J1344.481206.581206.58868.742220.112688.961806.431985.6917217-4PH H925 Bar, t < 8.0178,000167,000AMS 5643Table 2.6.9.0(e), MIL-HDBK-5J1227.271151.4217317-4PH H1025 Bar, t < 8.0155,000145,000139,00095,000263,000332,000211,000250,000AMS 5643Table 2.6.9.0(e), MIL-HDBK-5J1068.69999.74958.37655.001813.322289.061454.791723.6917417-4PH H1075 Bar, t < 8.0150,000143,000AMS 5643Table 2.6.9.0(e), MIL-HDBK-5J1034.21985.9517517-4PH H1100 Bar, t < 8.0140,000115,000AMS 5643Table 2.6.9.0(e), MIL-HDBK-5J965.27792.9017617-4PH H1150 Bar, t < 8.0134,000115,000104,00085,000228,000289,000175,000208,000AMS 5643Table 2.6.9.0(e), MIL-HDBK-5J923.90792.90717.05586.051572.001992.581206.581434.1117717-4PH H1150M Bar, t < 8.0115,00075,000AMS 5643Table 2.6.9.0(e), MIL-HDBK-5J792.90517.111784130 Sheet, Strip, Plate, Tubing, t =< 0.18895,00075,00075,00057,000200,000129,000102.9E+072.9E+071.1E+070.32AMS6360, 6373, 6374, AMS -T-6736, AMS -S-18729Table 2.3.1.0(c1), MIL-HDBK-5J655.00517.11517.11393.001378.95889.421794130 Sheet, Strip, Plate, Tubing, t > 0.18890,00070,00070,00054,000190,000120,000152.9E+072.9E+071.1E+070.3261,50053,000AMS6360, 6373, 6374, AMS -T-6736, AMS -S-18729Table 2.3.1.0(c1), MIL-HDBK-5J620.53482.63482.63372.321310.00827.371804130 Tubing, t =< 0.188125,000100,000109,00075,000194,000251,000146,000175,000122.9E+072.9E+071.1E+070.32111,000102,000AMS6361, AMS-T-6736Table 2.3.1.0(c2), MIL-HDBK-5J861.84689.48751.53517.111337.581730.581006.631206.581814130 Tubing, t =< 0.188150,000135,000141,00090,000231,000285,000210,000232,000102.9E+072.9E+071.1E+070.32145,000140,000AMS6362, AMS-T-6736Table 2.3.1.0(c2), MIL-HDBK-5J1034.21930.79972.16620.531592.691965.011447.901599.581824130 Tubing, all walls180,000165,000173,000108,000277,000342,000257,000284,00082.9E+072.9E+071.1E+070.32179,000176,000AMS-T-67361241.061137.631192.79744.631909.852358.011771.951958.1118315-5PH H1025 Bar t =< 12155,000155,000145,000145,000143,000143,00097,000263,000332,000211,000250,000122.9E+072.9E+071.1E+070.27AMS 5659Table 2.6.7.0(b), MMPDS-011068.691068.69999.74999.74985.95985.95668.791813.322289.061454.791723.6918415-5PH H1150 Bar t =< 12135,000135,000105,000105,00099,00099,00085,000230,000293,000166,000201,000162.9E+072.9E+071.1E+070.27AMS 5659Table 2.6.7.0(b), MMPDS-01930.79930.79723.95723.95682.58682.58586.051585.792020.161144.531385.851857075-T62 Plate, t = 0.500 - 1.000 (A-Basis)74,00078,00066,00068,00070,00071,00044,000117,000145,000100,000117,00071.03E+071.06E+073.90E+060.33AMS 4044 / AMS QQ-A-250/12Table 3.7.6.0(b2), MMPDS-01510.21537.79455.05468.84482.63489.53303.37806.69999.74689.48806.691867075-T6, T651, T62 Bar, Rod, and Shapes, t < 1.000 (A-Basis)77,00077,00066,00066,00064,00046,000100,000123,00086,00092,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01530.90530.90455.05455.05441.260.00317.16689.48848.06592.95634.321877075-T6, T651, T62 Bar, Rod, and Shapes, t < 1.000 (B-Basis)79,00079,00068,00068,00066,00047,000103,000126,00088,00095,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01544.69544.69468.84468.84455.050.00324.05710.16868.74606.74655.001887075-T6, T651, T62 Bar, Rod, and Shapes, t = 1.001 - 2.000 (A-Basis)77,00075,00066,00066,00064,00046,000100,000123,00086,00092,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01530.90517.11455.05455.05441.260.00317.16689.48848.06592.95634.321897075-T6, T651, T62 Bar, Rod, and Shapes, t = 1.001 - 2.000 (B-Basis)79,00077,00068,00068,00066,00047,000103,000126,00088,00095,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01544.69530.90468.84468.84455.050.00324.05710.16868.74606.74655.001907075-T6, T651, T62 Bar, Rod, and Shapes, t = 2.001 - 3.000 (A-Basis)77,00072,00066,00063,00064,00046,000100,000123,00086,00092,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01530.90496.42455.05434.37441.260.00317.16689.48848.06592.95634.321917075-T6, T651, T62 Bar, Rod, and Shapes, t = 2.001 - 3.000 (B-Basis)79,00074,00068,00065,00066,00047,000103,000126,00088,00095,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01544.69510.21468.84448.16455.050.00324.05710.16868.74606.74655.001927075-T6, T651, T62 Bar, Rod, and Shapes, t = 3.001 - 4.000 (A-Basis)77,00069,00066,00060,00064,00046,000100,000123,00086,00092,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01530.90475.74455.05413.69441.260.00317.16689.48848.06592.95634.321937075-T6, T651, T62 Bar, Rod, and Shapes, t = 3.001 - 4.000 (B-Basis)79,00071,00068,00062,00066,00047,000103,000126,00088,00095,00071.03E+071.05E+073.90E+060.33AMS 4122, 4123, 4186, 4187, and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01544.69489.53468.84427.47455.050.00324.05710.16868.74606.74655.001947075-T73 or T7351 Bar, Rod, and Shapes, t = 0.375 - 2.000 (S-Basis)68,00056,00054,00042,000101,000131,00081,000100,00071.03E+071.05E+073.90E+060.33AMS 4124 and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01468.840.00386.110.00372.320.00289.58696.37903.21558.48689.481957075-T73 or T7351 Bar, Rod, and Shapes, t = 2.000 - 3.000 (S-Basis)68,00065,00056,00052,00054,00055,00040,000101,000131,00081,000100,00071.03E+071.05E+073.90E+060.33AMS 4124 and AMS-QQ-A-225/9Table 3.7.6.0(d), MMPDS-01468.84448.16386.11358.53372.32379.21275.79696.37903.21558.48689.481960.000.000.000.000.000.000.000.000.000.000.001970.000.000.000.000.000.000.000.000.000.000.001980.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00

42S-Basis, LT Direction

LUG000D/t = 2.60D/t = 91.45 for e/D >= 2.60D/t = 100D/t = 150D/t = 200D/t = 30000LUGY000t/D = 0.060t/D = 0.080t/D = 0.100t/D = 0.120t/D = 0.150t/D = 0.20t/D = 0.30t/D = 0.40t/D >= 0.6000KTR00000000000