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Unformatted text preview: McGill University
Department of Civil Engineering and Applied Mechanics CIVE—207A SOLID MECHANICS
Midterm Exam
Date: Oct. 29, 2007, Time: 3:305:30PM Notes:  1) This is a closed book examination. No crib sheet is allowed.
2) Calculators that can store text in memory are not permitted.
3) This questionnaire contains 3 pages in total. 4) The examination will be marked out of 30. 5) You can keep the exam questionnaire. Useful section properties: Moments of Inertia of Common Geometric Shapes Rectangle Triangle Circle GIVE207A Midterm Examination Oct. 29, 2007 Problem 1 110 marks): A rigid member ABC is pinned at A and supported by two metallic rods as shown in Fig. 1. The
properties of the rods are as follows: Cross sectional area Maximum allowable stress
(MPa)
20 150 100 __J___10_*__J Calculate the following: a) The position of the load, “x”, (2 m<x<3 m), such that the allowable stresses are not exceeded
in either rod. b) The average normal stress in each rod. c) The vertical displacement at joint C. Figure 1: GIVE207A Midterm Examination Oct. '29, 2007 Problem 2 110 marks): The compound shaft shown in Fig. 2 is attached to rigid support at A and C. Segment AB is of
aluminum (G = 28 GPa, ran = 40 ﬁlPa), and the segment BC is of steel (G = 80 GPa, Ta“ = 100 MPa). Calculate (a) the diameters (1a and d5 at which each material will simultaneously
be stressed to its limit, and (b) theangle of rotation at B. Figure 2: / ‘7 d3 ’/ I'z .~
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, , . B _ Steel c Problem 3 {10 marks}: The cross section of a composite beam made of aluminum and steel is shown in Figure}
The moduli of elasticity are E31 = 75 GPa for aluminum and E5; = 200 GPa for steel.
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