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EM 319 Fall 2011 Sample Exam 3(1)

# EM 319 Fall 2011 Sample Exam 3(1) - Fall 2011 EM 319...

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Fall 2011 EM 319 Mechanics of Solids Sample Exam for 3 rd Mid-Term Nov 12, 2011 Allowable time: 3 hours Closed books, notes and homework. Calculators allowed. Name: _______________________________________________ EID: ________________________________________________ TA session: Rong Jiao T 5~7pm 14165 John Mersch W 5~7pm 14170 Andrew Barnes T 6~8pm 14175 Rong Jiao W 6~8pm 14180 Given formulas: q dx dV , V dx dM , 2 2 dx v d EI M , I My x , Ib VQ dA y I 2 , ' ' ' A y ydA Q A 1 ft = 12 in Draw Free Body Diagrams explicitly.

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2 of 3 Problem 1 The beam is loaded as shown. Determine the shear force and bending moment diagrams. Problem 2 The overhanging wood beam with width b = 3.5 in and height h = 5.5 in, is loaded as shown. Take L 1 = 3 ft, L 2 = 6 ft, L 3 = 5 ft, F 1 = 5000 lb, and F 2 = 3000 lb. (a) Determine the maximum normal stress due to bending moment. (b) Determine the maximum shear stress due to transverse shear.
3 of 3 Problem 3 The motor is bolted to a cantilevered steel beam with E = 30 × 10 6 psi and I = 3.94 in 4 . The motor weights 150 lb, and is delivering a torque of 600 lb-ft. Determine the deflection at the end of the beam. Bonus Problem

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