CIVE 310 Exam 1, Spring 2013

AUB-CEE-CIVE 310 Mechanics of Materials Saad – Spring 2012-13 1 Exam 1 March 12, 2013 90 minutes Problem 1 (20 Points) Member ABC is supported by a pin at C and a cable BD. Knowing that the ultimate load for cable BD is 100kN, determine: a) The safety factor with respect to cable failure if a load P = 16kN is applied as shown. b) The largest load P that could be applied if a factor of safety of 3.2 with respect to cable failure is required. Problem 2 (30 Points) A 60mm cube is made of a metal alloy with E = 155GPa and . The cube is subjected to a compressive load of 140kN in the x-direction. Determine the changes in the cube dimensions and the volumetric strain, knowing that: a) The cube is free to expand in the y and z directions. b) The cube is free to expand in the z-direction, but is restrained from expanding in the y-direction by two fixed frictionless plates. Problem 3 (30 Points) The assembly shown is made of A36 steel (E = 200GPa, G = 75GPa, ). If the gap between C and the rigid wall at D is 0.15mm when the assembly is unloaded and the temperature is . a) Determine the support reactions at A and D when the force P = 180kN is applied and the temperature is decreased to b) Determine the displacement of point B. AUB-CEE-CIVE 310 Mechanics of Materials Saad – Spring 2012-13 2 Problem 4 (20 Points) A steel reinforced concrete bar having a length of 1m and the cross-section shown below is fixed from both ends. Considering only axial deformations, determine the induced stresses in the steel and concrete when the temperature is decreased by