CIVE 310 Exam 3 Previouses Zip File (No Solution), Fall 2015

AUB-­‐CEE-­‐CIVE 310 Mechanics of Materials Saad – Spring 2012 1 Exam 3 May 24, 2012 60 minutes Problem 1 (40 Points) For the Beam Shown Below: a) Draw the shear and moment diagrams b) Determine the maximum shear stress in the beam at the critical section where the internal shear force is maximum Problem 2 (30 Points) The beam is made from four wood boards nailed together as shown. The nails can each support a shear force of 100lb, and the allowable shear stress for the wood is 500 psi. a) Determine the maximum shear force V that can be applied to the beam. b) Determine the corresponding required nail spacing s’ and s. AUB-­‐CEE-­‐CIVE 310 Mechanics of Materials Saad – Spring 2012 2 Problem 3 (30 Points) The gear system shown below is made of aluminum (G = 26 GPa). Compute: a) The maximum shear stress b) The angle of twist at end D AUB-CEE-CIVE 310 Mechanics of Materials Saad – Spring 2012-13 1 Exam 3 May 7, 2013 60 minutes Problem 1 (40 Points) Problem 2 (30 Points) Problem 3 (30 Points) Three forces are applied to a 4-in. diameter plate that is attached to the solid 1.8-in. diameter shaft AB. Determine the normal and shearing stresses at point H. For the state of stress shown: (a) Compute the normal and shear stress for the shaded region using equilibrium by summing forces. (b) Represent this state of stress in terms of the principal stresses and the maximum in plane shear stresses. A steel shaft and an aluminum tube are connected to a fixed support and to a rigid disk as shown in the cross- section below. Knowing that the initial stresses are zero, determine the maximum torque that can be applied to the disk if the allowable stresses are 120MPa in the steel shaft and 70MPa in the aluminum tube. Use G = 77GPa for steel and G = 27GPa for aluminum.