A shaft is subjected to the combined bending load ‘M’ and torsional load ‘T’, the maximum shear stress at the outer surface of the shaft will be equal to

\frac{16 T}{π d^{3}}

\frac{32 M}{π d^{3}}

\frac{16 \sqrt{M^{2} + T^{2}}}{π d^{3}}

\frac{32 \sqrt{M^{2} + T^{2}}}{π d^{3}}

$\frac{16 \sqrt{M^{2} + T^{2}}}{π d^{3}}$

Concept:

When a shaft is subjected to torsional or twisting moment T only, then the shear stress induced in the shaft is given by,

$τ = \frac{16 T}{π d^{3}}$

When the shaft is subjected to bending moment only, then the bending stress in the shaft is given by,
$σ_{b} = \frac{32 M}{π d^{3}}$

When the shaft is subjected to combined twisting moment and bending moment, then the shaft is designed on the basis of the maximum shear stress theory.

According to the maximum shear stress theory, the maximum shear stress in the shaft,

$τ_{m a x} = \frac{1}{2} \sqrt{σ_{b}^{2} + 4 τ^{2}} = \frac{16}{π d^{3}} \sqrt{M^{2} + T^{2}}$

Hint Answer

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A shaft is subjected to the combined bending load ‘M’ and torsional load ‘T’, the maximum shear stress at the outer surface of the shaft will be equal to

$\frac{16 \sqrt{M^{2} + T^{2}}}{π d^{3}}$

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Torsion

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Similar Questions

A shaft is subjected to the combined bending load ‘M’ and torsional load ‘T’, the maximum shear stress at the outer surface of the shaft will be equal to

16M2 + T2πd3

All Chapters — Structural Engineering

Simple Stress and Strain

Stresses in Members

Strain Energy and Resilience

Center of Gravity and Moment of Inertia

Shear Force and Bending Moment

Pure Bending

Shear Stress

Direct and Bending Stress

Slope and Deflection

Indeterminate Beams

Torsion

Plastic and Local Buckling Behaviour of Steel

Cables and Arches

Influence Lines and Approximate Analysis for Statically Determinate Structures

Deflections

Deflections Using Energy Methods

Displacement Method of Analysis: Slope-Deflection Equations

Displacement Method of Analysis: Moment Distribution

Influence line diagram mcqs

Structural engineering important exam questions

Structural engineering important exam questions II

Structural engineering important exam questions III

Plastic Analysis

Structural Engineering Loksewa Questions

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$\frac{16 \sqrt{M^{2} + T^{2}}}{π d^{3}}$