fa - ME 211 INTRODUCTION TO SOLID MECHANICS Practice Final...

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Unformatted text preview: ME 211 INTRODUCTION TO SOLID MECHANICS Practice Final Examination Attempt all questions MULTIPLE CHOICE QUESTIONS 1. (2 points). Three strain gages are attached to a body with 0 o , 120 o , and 240 o orientation relative to the x-direction (i.e. gage ( a ) is aligned with the x-direction), as shown in Figure 1. The readings obtained are ǫ a = 1 . 6 × 10- 3 ; ǫ b = 0 . 2 × 10- 3 ; ǫ c = − 2 . × 10- 3 . o 120 120 120 o o (a) (b) (c) Figure 1 The shear strain component γ xy is A B C D E F G H γ xy = ( × 10- 3 ) − 2 . 54 − 2 . 07 − 1 . 73 − 1 . 27 . 20 1.60 2.54 check one only 2. (2 points). The stresses acting on an element of material are shown in Figure 2. 100 MPa 40 MPa 80 MPa 100 MPa 40 MPa 80 MPa Figure 2 The maximum in-plane shear stress is A B C D E τ in-plane max = (MPa) 40 100 10 50 41.2 check one only 3. (2 points). Figure 3 shows a cylinder of outside diameter D = 200 mm and wall thickness t = 8 mm. The left end of the cylinder is closed and at the right end, a gas-tight, frictionless piston is pressed in by an axial force F = 15 kN until it is in equilibrium with the internal gas pressure. D F t piston . A Figure 3 At the point A in the cylinder wall, the circumferential (hoop) stress is A B C D E F G σ = (MPa)-0.57 2.2 3.4 6.8 8.7 14.1 check one only 4. (2 points). By sketching the shear force diagram for the beam of Figure 4 or otherwise, determine where the magnitude of the bending moment is a maximum....
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This note was uploaded on 11/22/2011 for the course ME ME320 taught by Professor Akahvan during the Fall '11 term at University of Michigan.

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fa - ME 211 INTRODUCTION TO SOLID MECHANICS Practice Final...

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