midterm-w2011

# midterm-w2011 - θ corresponding to the equilibrium...

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University of California, Los Angeles Mechanical and Aerospace Engineering Department MAE 101: Statics and Strength of Materials Winter 2011 Instructor: W. S. Klug MIDTERM EXAM Monday, February 7, 2011, 2:00pm–3:50pm. Instructions: Please complete the exam using the pages provided. Attach additional sheets as needed. The exam is closed-book, closed-notes. You may use a calculator. Write clearly — we must be able to read and understand your work to assign credit. Incorrect or absent free-body diagrams will result in loss in credit. Correct answers without supporting analysis/explanation will not guarantee credit. If you think that a problem statement is unclear, ambiguous, incomplete, or incorrect, explain why you think it is so, and state any assumptions you feel are necessary in order to proceed. Name:

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Problem 1. (20 pts) A vertical load P is applied at end B of rod BC . The constant of the spring is k and the unstretched length of the spring is . Neglecting the weight of the rod, derive an equation for the angle

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Unformatted text preview: θ corresponding to the equilibrium position in terms of P , k , and ‘ . Problem 1 continued. Problem 2. (20 pts) A sheet of plywood of weight W has been temporarily propped against column C , resting against the bases of columns A and B as shown. Neglecting friction at all the points of contact, determine the reactions at A , B , and C . Problem 2 continued. Problem 3. (20 pts) The Pratt bridge truss supports ﬁve forces F . Determine the axial forces in members JK and DK . A B C D E G I J K L M H L L L L L L F F F F F L Problem 3 continued. Problem 4. (20pts) This device raises a load W by extending the hydraulic actuator DE . The bars AD and BC are of length ‘ . In terms of W , b , ‘ , and h , what force must the actuator exert to hold the load in equilibrium? A C B D E b h W Problem 4 continued. Problem 5. (20pts) The cantilever beam is subjected to a triangular distributed load. What are the reactions at A ? y 10 m x 200 N/m A Problem 5 continued....
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midterm-w2011 - θ corresponding to the equilibrium...

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