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Unformatted text preview: I . 16'" l EGRM 202 Mechanics of Deformables
Spring 2007
Exam 2 Hand" ElmH ox Name:
Problem 1 (55 points) (40 minutes) The beam is loaded and supported as Show; Draw a complete free body diagram (with the original loads) and
determine the reactions at A and B. (10 points) (10 minutes) m Name: “(I SAA Problem 1 (Continued) (20 points) (15 minutes) Draw complete shear and bending moment diagrams for the beam. Label all peak values and their locations.
Label straight sloped lines as “straight” and curved lines as “curves”. Your drawing does not need to be
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the crosssection figure. Also ignore stress concentrations. Show your work. 4 m in 1:11.,“ . (10.32% O\
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H‘P u 5. macaw» HgfjciA A 2 m long solid steel shaft connects engine E to generator G. The engine transmits 32 kW of power to the
generator when it rotates at 765 revolutions per minute. The modulus of elasticity for the shaft material is 200
GPa and the modulus of rigidity is 75 GPa. The maximum allowable shear stress for the shaft is 140 MPa and
the maximum twist for the shaft is 0.05 rad. Find the minimum diameter for the shaft. Show your work. Name:
Problem 2 (30 points) (20 minutes) (u) p: ’31ka
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Problem 3 (15 points) (15 minutes) \ ii— The solid steel shaft has a diameter of 20 mm. Determine the reactions at the ﬁxed supports A and B. The external load at C has been removed, so it has a value of zero in the ﬁgure. The modulus of elasticity for the
shaft material is 200 GPa and the modulus of rigidity is 75 GPa. Show your work. ._ .. v _ cl —_ 0. oz m 500 C7—— 75(1aqlPa 0 Nm AM
GLAD  TA‘TG 7e— i3 T =— T ,ILL e 9(3) 1467113 ...
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 Spring '07
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 Force, Shear strength, solid steel shaft

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