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304_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 304_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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298 CHAPTER 3 Torsion Solution 3.7-7 Splice in a propeller shaft S OLID SHAFT H OLLOW COLLAR pt max 16 d 1 ( d 1 4 d 4 ) T 2 2 t max I P d 1 2 t max d 1 a p 32 b ( d 1 4 d 4 ) I P p 32 ( d 1 4 d 4 ) t max T 2 r I P T 2 ( d 1 /2) I P t max 16 T 1 p d 3 T 1 p d 3 t max 16 E QUATE TORQUES For the same power, the torques must be the same. For the same material, both parts can be stressed to the same maximum stress. (Eq. 1) M INIMUM OUTER DIAMETER Solve Eq. (1) numerically: Min. d 1 1.221 d ; or a d 1 d b 4 d 1 d 1 0 T 1 T 2 p d 3 t max 16 pt max 16 d 1 ( d 1 4 d 4 ) Problem 3.7-8 What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?

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