What shear stress is induced within a cylindrical shaft subjected to simple tension__________________?
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Answer: E. none of the above
Explanation
A cylindrical shaft in simple tension experiences both axial normal stress and induced shear stresses on oblique planes, rather than pure torsional shear. Mohr's circle analysis proves that maximum shear stress occurs on planes oriented at forty-five degrees to the tensile axis. Pure axial tension does not generate torsional shear stresses around the periphery of a cylindrical shaft cross-section. Simple tension applies a uniform normal stress along the longitudinal axis of a cylindrical bar or shaft. Internal forces acting on inclined cross-sections resolve into both normal and shear stress components. Maximum shear stress in uniaxial tension equals half of the applied axial normal stress value.
A distribution of maximum shear at the periphery and zero at the center describes torsional loading, not tension. Shear stress is not maximum at the center in simple tension, as uniform axial normal stress prevails across the section. Stating that shear stress is uniform throughout ignores the directional stress transformation equations on oblique planes.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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