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706_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 706_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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700 CHAPTER 8 Applications of Plane Stress Problem 8.5-21 A moveable steel stand supports an automobile engine weighing W ± 750 lb as shown in figure part (a). The stand is constructed of 2.5 in. ² 2.5 in. ² 1/8 in. thick steel tubing. Once in position the stand is restrained by pin supports at B and C . Of interest are stresses at point A at the base of the vertical post; point A has coordinates ( x ± 1.25, y ± 0, z ± 1.25) (inches). Neglect the weight of the stand. (a) Initially, the engine weight acts in the ( ³ z ) direction through point Q which has coordinates (24, 0, 1.25); find the maximum tensile, compressive, and shear stresses at point A . (b) Repeat (a) assuming now that, during repair, the engine is rotated about its own longitudinal axis (which is parallel to
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Unformatted text preview: the x axis) so that W acts through Q (with coordinates (24, 6, 1.25)) and force F y 200 lb is applied parallel to the y axis at distance d 30 in. x D B C y A Q D C O B Q ' y 24 in. 1.25 in. 12 in. 17 in. 17 in. 6 in. (b) Top view 2.5 in. 2.5 in. 1/8 in. D z C z C y C x 24 in. 17 in. 36 in. (a) Q x d = 30 in. W z F y A M AX . TENSILE STRESS M AX . COMPRESSIVE STRESS s 2 35.2 MPa ; s 1 184.8 MPa ; M AX . SHEAR STRESS N OTE : Since the principal stresses have opposite signs, the maximum in-plane shear is larger than the maximum out-of-plane shear stress. t max 110.0 MPa ; 08Ch08.qxd 9/18/08 11:08 AM Page 700...
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