Problem: F The circular beam shown in Appendix A is made of Ti-50A titanium alloy. Material properties are given in Appe

[answerhappygod]

Problem F The Circular Beam Shown In Appendix A Is Made Of Ti 50a Titanium Alloy Material Properties Are Given In Appe 1 (42.88 KiB) Viewed 76 times

Problem: F The circular beam shown in Appendix A is made of Ti-50A titanium alloy. Material properties are given in Appendix B. 1. For what value of F, yielding will occur? 2. If F is given as 5 kN, for point A on the cross section find: a. Normal and shear stresses b. Principal stresses c. Maximum shear stress 3. Safety factor a. Calculate the safety factor for point A b. If the beam was made of Gray Cast Iran - Class 40, calculate the safety factor of the design with respect to the point A using the geometric approach (Mohr's Circle). 4. Fatigue: a Calculate the safety factor of the design for N = 105 cycles if the magnitude of the force F varies between - 10 kN and 10 kN. b. Calculate the safety factor of the design for infinite life if the magnitude of the force F varies between - 10 kN and 10 kN. c. Calculate the safety factor of the design for N = 105 cycles if the magnitude of the force F varies between 0 kN and 20 kN. i. Use Modified Goodman criterion of failure ii. Which type of failure is expected?
Appendices Appendix A) Technical Drawing 6 5 4 3 2 1 275.20 D D 220.00 50.00 54.00 0009 -- - C с 2500 R6,00 WIZZ 00 B SECTION AA B AVE A A QA AS A hw_part 6 5 ah 4 3 2 N 1
Appendix B) Properties Table A-1 Physical Properties of Some Engineering Materials Data from Various sources. These Properties Are Essentially similar for All Alloys of the Particular Material Material Modulus of Elasticity Modulus of RigidityG Posson's Weight Mass Speditie Rais De Density Gravity Mosi GPS Mpsi GP Ib/ Mg/ml Aluminum Alloy 10.4 71.7 3.9 26.8 0.34 0.10 28 28 Beryllum Copper 18.5 1276 7.2 0.29 0.30 83 Brass, Bronze 16.0 1103 60 41.5 0.33 0.31 86 86 Copper 17.5 120.7 6.5 44.7 0.35 0.32 Iron, Cast, Gay 15.0 1034 5.9 40.4 0.28 0.26 72 72 tron, Cast. Dette 1689 94 65.0 0.30 Tron, Cast, Malleable 25.0 1724 96 66.3 0.30 0.26 73 73 Magnesium Alloys 65 44.8 24 16.8 0:33 0.07 18 18 NickelAlloys 30,0 2068 115 79.6 0.30 0.30 Steel Carbon 30.0 2068 11.7 80.8 0.28 0.28 78 Steel Aloys 30,0 2068 11.2 808 028 0.28 78 78 Steel Stainless 225 1896 10.7 74.1 0.28 0.28 78 Titanium Alloys 1138 62 4.4 Zinc Alloy 12.0 82. 45 31.1 033 0.24 operties of Some Metals and Alloys, temational del Co, Inc. NY: Metal Handbook American Sooty for Metals. Materials Pak Ons 245 0.25 034 016 pw SHO 110 379 310 379 Table A5 Mechanical Properties for Some Titanium Alloys Data from INCO. Approximate Values Consult Material Manufacturers for More Accurate information Titanium Alloy Condition Tensile Yield Strength Ultimate Tensile Elongation Brinell or 0.25 offset Strength over 2 in Rockwell kpsi MPA MPA Hardness TI-ISA sheet annealed 30 207 40 276 30 T-50A sheet annealed 25 215HB TI-SA sheet annealed 75 517 85 18 245HB T.O.21 Alloy sheet annealed 55 25 2150 TI 5 A-25 Sn Aloy annealed 125 862 135 931 13 39HRC TI-8 Al 1 Mo 1 V Alloy sheet annealed 130 896 140 965 13 39 RC TI-8 A-256-4212 Mo Aloy bar annealed 130 896 140 965 15 39HRC TI-8 Al-6 V.2 Sn Alloy sheet annealed 155 1 069 165 12 41HRC TI: 6 AI:4 V Alloy sheet annealed 130 896 140 2.5 39HRC TH- GAI-4V Alloy heat treated 165 1 138 175 1 207 12 T1-13 V-11 13 Al Alloy sheet annealed 130 896 135 931 13 37HRC T1.13 V-11 C13 Al Alloy heat treated 170 1 172 1 241 6 Properties of Some Metall and Alloys International Nickel Co, Inc. New York 180 Lp MP Table 1.7 Mechanical Properties for Some Cast Iron Alloys Data from Various sources. Approximate Values. Consult Material Manufacturers for More Accurate information Cast Iron Alloy Condition Tensile Yield Strength Ultimate Tensile Compressive (0.2 offset Brinell Strength Strength Hardness MP psi MPS Gray Cast iron-Class 20 as cast 22 152 572 156 Gray Cast Iron Class 30 as cast 32 221 109 752 210 Gray Cast iron Class 40 as cast 235 Gray Cast iron-Class 50 as cast 359 164 262 Gray Cast Iron-Class 60 as cast 62 427 187 302 Ductile Iron 60-40-18 annealed 324 65 448 359 160 Ductle Iron 65-45-12 annealed 48 331 53 365 174 Ductile Iron 80-55.06 annealed 53 365 82 565 56 386 228 Ductile Iron 120-90-02 Q&T 120 827 140 965 134 924 325 Properties of Some Metal and Alloys Weational Nickel Co. Inc. NY: Metals Handbook, Amerkan Society for Metal Material Park Ohio 280 140 462