710_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

710_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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704 CHAPTER 8 Applications of Plane Stress Problem 8.5-23 Determine the maximum tensile, compressive, and shear stresses acting on the cross section of the tube at point A of the hitch bicycle rack shown in the figure. The rack is made up of 2 in. ± 2 in. steel tubing which is 1/8 in. thick. Assume that the weight of each of four bicycles is distributed evenly between the two support arms so that the rack can be represented as a cantilever beam ( ABCDEF ) in the x-y plane. The overall weight of the rack alone is W ² 60 lb. directed through C , and the weight of each bicycle is B ² 30 lb. M AX . TENSILE STRESS
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Unformatted text preview: s 1 18.35 MPa ; t max A a s x s y 2 b 2 + t xy 2 M AX . COMPRESSIVE STRESS 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 9.42 MPa ; s 2 0.483 MPa ; Bike loads B at each tie down point Fixed support 2 in. 2 in. in. steel tube 1 8 B 2 B 2 F E A B C D 2 in. 2 in. in. 1 8 M AZ A y A x y x A B C E F W D 17 in. 6 in. 33 in. 7 in. 3 @ 4 in. 2 in. 4 loads, each B 08Ch08.qxd 9/18/08 11:08 AM Page 704...
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