I need help with this project. I believe involves bending moment, beam deflection and buckling as well as shear stress?
Beer.pdf Ultimate Strength Yield Strength3 Modulus Modulus Coefficient Ductility, Specific Compres- of of of Thermal Percent Weight, Tension, sion,2 Shear, Tension, Shear, Elasticity, Rigidity, Expansion, Elongation Material lb/in3 ksi ksi ksi ksi ksi 106 psi 106 psi 1026/8F in 2 in. Steel Structural (ASTM-A36) 0.284 58 36 21 29 11.2 6.5 21 High-strength-low-alloy ASTM-A709 Grade 50 0.284 65 50 29 11.2 6.5 21 ASTM-A913 Grade 65 0.284 80 65 29 11.2 6.5 17 ASTM-A992 Grade 50 0.284 65 50 29 11.2 6.5 21 Quenched & tempered ASTM-A709 Grade 100 0.284 110 100 29 11.2 6.5 18 Stainless, AISI 302 Cold-rolled 0.286 125 75 28 10.8 9.6 12 Annealed 0.286 95 38 22 28 10.8 9.6 50 Reinforcing Steel Medium strength 0.283 70 40 29 11 6.5 High strength 0.283 90 60 29 11 6.5 Cast Iron Gray Cast Iron 4.5% C, ASTM A-48 0.260 25 95 35 10 4.1 6.7 0.5 Malleable Cast Iron 2% C, 1% Si, ASTM A-47 0.264 50 90 48 33 24 9.3 6.7 10 Aluminum Alloy 1100-H14 (99% Al) 0.098 16 10 14 8 10.1 3.7 13.1 9 Alloy 2014-T6 0.101 66 40 58 33 10.9 3.9 12.8 13 Alloy 2024-T4 0.101 68 41 47 10.6 12.9 19 Alloy 5456-H116 0.095 46 27 33 19 10.4 13.3 16 Alloy 6061-T6 0.098 38 24 35 20 10.1 3.7 13.1 17 Alloy 7075-T6 0.101 83 48 73 10.4 4 13.1 11 Copper Oxygen-free copper (99.9% Cu) Annealed 0.322 32 22 10 17 6.4 9.4 45 Hard-drawn 0.322 57 29 53 17 6.4 9.4 4 Yellow Brass (65% Cu, 35% Zn) Cold-rolled 0.306 74 43 60 36 15 5.6 11.6 8 Annealed 0.306 46 32 15 9 15 5.6 11.6 65 Red Brass (85% Cu, 15% Zn) Cold-rolled 0.316 85 46 63 17 6.4 10.4 3 Annealed 0.316 39 31 10 17 6.4 10.4 48 Tin bronze 0.318 45 21 14 10 30 (88 Cu, 8Sn, 4Zn) Manganese bronze 0.302 95 48 15 12 20 (63 Cu, 25 Zn, 6 Al, 3 Mn, 3 Fe) Aluminum bronze 0.301 90 130 40 16 6.1 9 6 (81 Cu, 4 Ni, 4 Fe, 11 Al) (Table continued on page A13) APPENDIX B Typical Properties of Selected Materials Used in Engineering1,5 (U.S. Customary Units) A12 bee80288_app_A1-A30.indd Page A12 11/29/10 6:45:14 PM user-f499 /Users/user-f499/Desktop/Temp Work/Don't Delete Job/MHDQ251:Beer:201 A13 Ultimate Strength Yield Strength3 Modulus Modulus Coefficient Ductility, Compres- of of of Thermal Percent Density Tension, sion,2 Shear, Tension, Shear, Elasticity, Rigidity, Expansion, Elongation Material kg/m3 MPa MPa MPa MPa MPa GPa GPa 1026/8C in 50 mm Steel Structural (ASTM-A36) 7860 400 250 145 200 77.2 11.7 21 High-strength-low-alloy ASTM-A709 Grade 345 7860 450 345 200 77.2 11.7 21 ASTM-A913 Grade 450 7860 550 450 200 77.2 11.7 17 ASTM-A992 Grade 345 7860 450 345 200 77.2 11.7 21 Quenched & tempered ASTM-A709 Grade 690 7860 760 690 200 77.2 11.7 18 Stainless, AISI 302 Cold-rolled 7920 860 520 190 75 17.3 12 Annealed 7920 655 260 150 190 75 17.3 50 Reinforcing Steel Medium strength 7860 480 275 200 77 11.7 High strength 7860 620 415 200 77 11.7 Cast Iron Gray Cast Iron 4.5% C, ASTM A-48 7200 170 655 240 69 28 12.1 0.5 Malleable Cast Iron 2% C, 1% Si, ASTM A-47 7300 345 620 330 230 165 65 12.1 10 Aluminum Alloy 1100-H14 (99% Al) 2710 110 70 95 55 70 26 23.6 9 Alloy 2014-T6 2800 455 275 400 230 75 27 23.0 13 Alloy-2024-T4 2800 470 280 325 73 23.2 19 Alloy-5456-H116 2630 315 185 230 130 72 23.9 16 Alloy 6061-T6 2710 260 165 240 140 70 26 23.6 17 Alloy 7075-T6 2800 570 330 500 72 28 23.6 11 Copper Oxygen-free copper (99.9% Cu) Annealed 8910 220 150 70 120 44 16.9 45 Hard-drawn 8910 390 200 265 120 44 16.9 4 Yellow-Brass (65% Cu, 35% Zn) Cold-rolled 8470 510 300 410 250 105 39 20.9 8 Annealed 8470 320 220 100 60 105 39 20.9 65 Red Brass (85% Cu, 15% Zn) Cold-rolled 8740 585 320 435 120 44 18.7 3 Annealed 8740 270 210 70 120 44 18.7 48 Tin bronze 8800 310 145 95 18.0 30 (88 Cu, 8Sn, 4Zn) Manganese bronze 8360 655 330 105 21.6 20 (63 Cu, 25 Zn, 6 Al, 3 Mn, 3 Fe) Aluminum bronze 8330 620 900 275 110 42 16.2 6 (81 Cu, 4 Ni, 4 Fe, 11 Al) (Table continued on page A14) APPENDIX B Typical Properties of Selected Materials Used in Engineering1,5 (SI Units) bee80288_app_A1-A30.indd Page A13 11/29/10 6:45:15 PM user-f499 /Users/user-f499/Desktop/Temp Work/Don't Delete Job/MHDQ251:Beer:201 A14 Ultimate Strength Yield Strength3 Modulus Modulus Coefficient Ductility, Specific Compres- of of of Thermal Percent Weight, Tension, sion,2 Shear, Tension, Shear, Elasticity, Rigidity, Expansion, Elongation Material lb/in3 ksi ksi ksi ksi ksi 106 psi 106 psi 1026/8F in 2 in. Magnesium Alloys Alloy AZ80 (Forging) 0.065 50 23 36 6.5 2.4 14 6 Alloy AZ31 (Extrusion) 0.064 37 19 29 6.5 2.4 14 12 Titanium Alloy (6% Al, 4% V) 0.161 130 120 16.5 5.3 10 Monel Alloy 400(Ni-Cu) Cold-worked 0.319 98 85 50 26 7.7 22 Annealed 0.319 80 32 18 26 7.7 46 Cupronickel (90% Cu, 10% Ni) Annealed 0.323 53 16 20 7.5 9.5 35 Cold-worked 0.323 85 79 20 7.5 9.5 3 Timber, air dry Douglas fir 0.017 15 7.2 1.1 1.9 .1 Varies Spruce, Sitka 0.015 8.6 5.6 1.1 1.5 .07 1.7 to 2.5 Shortleaf pine 0.018 7.3 1.4 1.7 Western white pine 0.014 5.0 1.0 1.5 Ponderosa pine 0.015 8.4 5.3 1.1 1.3 White oak 0.025 7.4 2.0 1.8 Red oak 0.024 6.8 1.8 1.8 Western hemlock 0.016 13 7.2 1.3 1.6 Shagbark hickory 0.026 9.2 2.4 2.2 Redwood 0.015 9.4 6.1 0.9 1.3 Concrete Medium strength 0.084 4.0 3.6 5.5 High strength 0.084 6.0 4.5 5.5 Plastics Nylon, type 6/6, 0.0412 11 14 6.5 0.4 80 50 (molding compound) Polycarbonate 0.0433 9.5 12.5 9 0.35 68 110 Polyester, PBT 0.0484 8 11 8 0.35 75 150 (thermoplastic) Polyester elastomer 0.0433 6.5 5.5 0.03 500 Polystyrene 0.0374 8 13 8 0.45 70 2 Vinyl, rigid PVC 0.0520 6 10 6.5 0.45 75 40 Rubber 0.033 2 90 600 Granite (Avg. values) 0.100 3 35 5 10 4 4 Marble (Avg. values) 0.100 2 18 4 8 3 6 Sandstone (Avg. values) 0.083 1 12 2 6 2 5 Glass, 98% silica 0.079 7 9.6 4.1 44 1Properties of metals vary widely as a result of variations in composition, heat treatment, and mechanical working. 2For ductile metals the compression strength is generally assumed to be equal to the tension strength