A beam has a triangular cross-section having base b & altitude h. If the section of the beam is subjected to a shear force F, the shear stress at the level of neutral axis in the cross-section is given by :

\frac{4 F}{3 b h}

\frac{3 F}{4 b h}

\frac{8 F}{3 b h}

\frac{3 F}{8 b h}

$\frac{8 F}{3 b h}$

Concept:

Shear stress distribution in the triangular section:

F1 N.M Madhu 24.03.20 D9

The relation between neutral axis shear stress and average shear stress is given by:

$τ_{n e u t} = \frac{4}{3} \times τ_{a v g} = \frac{4}{3} \times \frac{F}{A} = \frac{4}{3} \times \frac{F}{\frac{1}{2} b h}$

$∴ τ_{n e u t} = \frac{8 F}{3 b h}$

26 June 1

Cross-section	$\frac{τ_{m a x}}{τ_{a v g}}$	$\frac{τ_{N A}}{τ_{a v g}}$
Rectangle	$\frac{3}{2}$	$\frac{3}{2}$
Circle	$\frac{4}{3}$	$\frac{4}{3}$
Triangle	$\frac{3}{2}$	$\frac{4}{3}$
Diamond	$\frac{9}{8}$	1

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A beam has a triangular cross-section having base b & altitude h. If the section of the beam is subjected to a shear force F, the shear stress at the level of neutral axis in the cross-section is given by :

$\frac{8 F}{3 b h}$

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A beam has a triangular cross-section having base b & altitude h. If the section of the beam is subjected to a shear force F, the shear stress at the level of neutral axis in the cross-section is given by :

8F3bh

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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$\frac{8 F}{3 b h}$