299_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

299_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_3.5-3.7.qxd 9/27/08 1:10 PM Page 293 293 SECTION 3.5 Pure Shear Problem 3.5-9 A solid steel bar (G 11.8 diameter d 2.0 in. is subjected to torques T acting in the directions shown in the figure. 106 psi) of 8.0 k-in. (a) Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. (b) Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements. T = 8.0 k-in. d = 2.0 in. T Solution 3.5-9 Solid steel bar T G (b) MAXIMUM STRAINS 8.0 k-in. 11.8 6 10 psi gmax (a) MAXIMUM STRESSES 16T tmax 16(8000 lb-in.) 3 pd t p(2.0 in.) c âmax ; 5090 psi 5090 psi Problem 3.5-10 A solid aluminum bar (G diameter d 40 mm is subjected to torques T acting in the directions shown in the figure. 5093 psi 11.8 * 106 psi 6 432 * 10 3 5093 psi gmax G ; 27 GPa) of 300 N m (a) Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. (b) Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements. t gmax 2 216 216 * 10 10 6 d = 40 mm T rad c ; 6 216 10 6 ; T = 300 N·m ...
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