EM 306 - Practice Final

EM 306 - Practice Final - (c) Draw free body diagrams for...

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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
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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 F that would not cause the box to slip. (10)
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Unformatted text preview: (c) Draw free body diagrams for bars AB and BC, under the largest force F from (b). (10) C B A 3. See figure below. A beam AB is subjected to a concentrated force and a distributed load. Neglect the weight of the beam. (a) Find the reactions at the fixed support A. (5) (b) Find the internal shear force and bending moment at a section 2 m to the right of A. (10) (c) Draw the shear force and bending moment diagrams for the beam. (10) 4. See figure below. A triangular plate is suspended horizontally by three vertical cables. The weight of the plate is 240 N, and the center of gravity is located at the centroid of the triangle. Determine the tension forces in the three cables. (20) 5. (Bonus question, 10 points) The weight of the bucket is W = 1000 lb. The cable passes over pulleys at A and D. Neglect the friction between the cable and the pulleys, and neglect the weight of the truss members. Determine the axial force in member HG....
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This note was uploaded on 09/18/2011 for the course EM 306 taught by Professor Rodin during the Spring '07 term at University of Texas at Austin.

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EM 306 - Practice Final - (c) Draw free body diagrams for...

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