EM 306 - Practice Final Solutions

EM 306 - Practice Final Solutions - The University of Texas...

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The University of Texas at Austin EM 306 – Statics Final Exam, Spring 2007 Time: 9:00 am – 12:00 noon, Saturday, May 12 Place: GEO 2.324 Name: E I D : Unique number (circle one): 13255 13260 13265 13270 13275 13280 Closed books, notes, and homework.
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1. The cross section of a beam is shown below, which is symmetric about the y-axis. (a) Find the location of the centroid of the cross sectional area. (10) (b) Calculate the moments of inertia of the cross sectional area about the x and y axes. (10) (c) Find the polar moment of inertia about the centroid. (5) x y 4 in 1 in 6 in 1 in Answers: (a) x c = 0 and y c = 2.6 in. (b) I x = 115.3 in 4 , I y = 5.83 in 4 . (c) I c = 53.5 in 4 .
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2. See figure below. The weight of the box is 20 lb, and the coefficient of static friction between the box and the floor is 0.65. Neglect the weight of the bars. (a) In term of the applied force F , find the reactions at the pin supports A and C. (10) (b) Draw a free body diagram of the box, and determine the largest value of the force
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EM 306 - Practice Final Solutions - The University of Texas...

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