As shown in the figure, a force P-150N and a torsional moment T=400N.m are applied on the free end of a shaft. The length of the shaft is L-1.5m. For the shaft material, allowable normal stress is given as oall-100 MPa ve and allowable shear stress is Tal-60 MPa. Calculate the safe diameter d of the shaft, taking into account the stress conditions at points A, B, C and D. Follow the below steps for the solution: (a) Show internal loadings (forces and couples) acting on the cross-section passing through points A-B-C-D, (b) Show the plane stress state on stress element using proper coordinate system at points A, B, C and D, (c) Express the equations which describe the stresses Gmax and Tmax in terms of d, using the stress components formed at points A, B, C and D, (d) Calculate the safe diameter d of the shaft using allowable normal and shear stresses (Oall and Tall).

As shown in the figure, a force P-150N and a torsional moment T=400N.m are applied on the free end of a shaft. The length of the shaft is L-1.5m. For the shaft material, allowable normal stress is given as oall-100 MPa ve and allowable shear stress is Tal-60 MPa. Calculate the safe diameter d of the shaft, taking into account the stress conditions at points A, B, C and D. Follow the below steps for the solution: (a) Show internal loadings (forces and couples) acting on the cross-section passing through points A-B-C-D, (b) Show the plane stress state on stress element using proper coordinate system at points A, B, C and D, (c) Express the equations which describe the stresses Gmax and Tmax in terms of d, using the stress components formed at points A, B, C and D, (d) Calculate the safe diameter d of the shaft using allowable normal and shear stresses (Oall and Tall).

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.8.14P: The composite shaft shown in the figure is manufactured by shrink-Fitting a steel sleeve over a...

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