Given: The beam cross-section has the dimensions shown and a thickness of 0.5 in. It is bent about its weak axis. Fy = 50 ksi Required: For fully plastic behavior: (a) Draw the stress diagram (b) Calculate Z (c) Determine the moment capacity, OMn (kip-ft) Ans: Mn = 15.5 kip-ft 3

The cantilever beam shown is an aluminum pipe that has an outside diameter of 114 mm and an inside diameter of 97.3 mm. A moment of 3 kN-m is applied at the free end. Find the rotation at the free end of the pipe. Neglect the weight of the pipe. М 33KN.m 2m Mod. of Mod. of Coeff, of Elasticity Rigidity G Thermal Ultimate Strength Density kg /m3 x 10 Tensile Yield Strength F, MPa Expansion a m/m/C x 10-6 Poisson's MPa MPa MPa Ratio Material x 10 x 10 Tens. Comp. Shear Steel ASTM A36 or A501 7.85 207 83 250 400 11.7 0.25 Steel (high-strength low-alloy) ASTM A992 7.85 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 7.85 207 79.3 210 380 11.7 0.25 Steel AISI 1040 hot-rolled 7.85 207 79.3 290 520 11.7 0.25 Stainless steel 7.85 200 80 280 580 410 11.7 0.25 (annealed) Cast iron (gray) 7.21 103 41 140 550 220 10.6 0.26 Aluminum allov 2.64 70 28 240 260 190 23.6 0.33 6061-T6 Magnesium alloy 1.794 45 17 210 280 140 26.1 0.34 Titanium alloy 4.40 114 45 900 970 690 9.7 Nominal Outside Inside…

The members of the truss shown have equal cross-sectional areas A = 400 mm2. The suspended mass is m = 3400 kg. What is the normal stress in the member DE? Answer in MPa and use two decimals places.