Problem-2: A 20-feet long simply supported beam was subjected to a dead load of 200 lb/ft,...

  

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Problem-2: A 20-feet long simply supported beam was subjected to a dead load of 200 lb/ft, live load of 300 lb/ft, wind load of 40 lb/ft, snow load of 45 lb/ft, rain load of 47.5 lb/ft, and 50 lb/ft of roof live load. Identify LRFD and ASD load combination that results in the maximum bending moment and shear force in the beam. (20 points) Hint: Max bending moment in a simply supported beam is w12/8 and the max shear force is wl/2, where, w is the load obtained from the appropriate load combination and is the span of the beam. Problem-1: A uniaxial tension test is conducted on a rod that has a circular cross- section with an area of 0.2011 in. The displacements are measured using a contact extensometer with a gage length of 2 inches. The obtained load in kilo pounds (kips) and displacement in inches is tabulated as follows. in 0 kips 0 0.00016 1 0.000352 2 0.000706 3 0.001012 4 0.001434 5 0.001712 6 0.001986 7 0.002286 8 0.002612 9 0.002938 10 0.003274 11 0.003632 12 0.003976 13 0.004386 14 0.00464 15 0.004988 16 0.005432 17 0.005862 18 0.006362 19 0.007304 20 0.008072 21 0.009044 22 0.01131 23 0.01412 24 0.020044 25 0.029106 26 1 1) Generate engineering stress and strain values and draw the engineering stress- strain curve. (5 points) 2) Determine the modulus of elasticity. (5 points) 3) Estimate the value of the proportionality limit. (5 points) 4) Determine the yield stress using the 0.2% offset method. (5 points) 5) Generate the true stress-strain curve values and plot them (see slide 27 of class notes). (10 points) Problem-2: A 20-feet long simply supported beam was subjected to a dead load of 200 lb/ft, live load of 300 lb/ft, wind load of 40 lb/ft, snow load of 45 lb/ft, rain load of 47.5 lb/ft, and 50 lb/ft of roof live load. Identify LRFD and ASD load combination that results in the maximum bending moment and shear force in the beam. (20 points) Hint: Max bending moment in a simply supported beam is w12/8 and the max shear force is wl/2, where, w is the load obtained from the appropriate load combination and is the span of the beam. Problem-1: A uniaxial tension test is conducted on a rod that has a circular cross- section with an area of 0.2011 in. The displacements are measured using a contact extensometer with a gage length of 2 inches. The obtained load in kilo pounds (kips) and displacement in inches is tabulated as follows. in 0 kips 0 0.00016 1 0.000352 2 0.000706 3 0.001012 4 0.001434 5 0.001712 6 0.001986 7 0.002286 8 0.002612 9 0.002938 10 0.003274 11 0.003632 12 0.003976 13 0.004386 14 0.00464 15 0.004988 16 0.005432 17 0.005862 18 0.006362 19 0.007304 20 0.008072 21 0.009044 22 0.01131 23 0.01412 24 0.020044 25 0.029106 26 1 1) Generate engineering stress and strain values and draw the engineering stress- strain curve. (5 points) 2) Determine the modulus of elasticity. (5 points) 3) Estimate the value of the proportionality limit. (5 points) 4) Determine the yield stress using the 0.2% offset method. (5 points) 5) Generate the true stress-strain curve values and plot them (see slide 27 of class notes). (10 points)