MECH 320 Midterm, Spring 2010

American University of Beirut Exam I MECH 320, Spring 08 Saturday, March 29, 2008 Duration: 90 minutes Miscellaneous Formulas: 1 Problem 1 –Equilibrium Equations (20 points) Member A of the body shown in the figure is subjected to a compressive force of 5 kN. Determine the average normal stress acting on the member C which has a diameter of 10 mm and in member B which has a thickness of 30 mm. 2 Problem 2- Principal stresses, shear stress and orientations (20 points) The state of stress at a point is shown on the element. Determine (a) the principal stresses (b) the maximum in plane shear stress and average normal stress at the point. Determine the values of θp and θs. 3 Problem 3- (Use Mohr’s circle for this problem)-20 pts Problem 4- Stress-20 pts A point on a thin plate is subjected to the 2 successive states of stress shown. Determine the resultant state of stress represented on the element oriented as shown in the right. 4 5 Problem 5-Equilibrium- 20 pts 6 7