275_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

275_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.4 Nonuniform Torsion 269 Problem 3.4-4 A solid circular bar ABC consists of two segments, as shown in the figure. One segment has diameter d 1 ± 56 mm and length L 1 ± 1.45 m; the other segment has diameter d 2 ± 48 mm and length L 2 ± 1.2 m. What is the allowable torque T allow if the shear stress is not to exceed 30 MPa and the angle of twist between the ends of the bar is not to exceed 1.25°? (Assume G ± 80 GPa.) L 1 L 2 T AB C d 1 d 2 T Solution 3.4-4 N UMERICAL DATA d 1 ± 56 mm d 2 ± 48 mm L 1 ± 1450 mm L 2 ± 1200 mm G ± 80 GPa ² a ± 30 MPa radians Allowable torque T allow based on shear stress T allow ± 651.441 N m # T allow ± t a p d 2 3 16 t max ± 16 T d 2 3 p f a ± 1.25 a p 180 b T allow based on angle of twist T allow ± 459 N m governs ; # T allow ± G f a L 1 a p 32 d 1 4 b + L 2 a p 32 d 2 4 b f max ± T G J L 1 a p 32 d 1 4 b + L 2 a p 32 d 2 4 b K Problem 3.4-5
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This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.

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