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Find sharp factor (S.F.) for the rectangle section

Subject :- Structural Analysis II

Title :- Plastic Analysis

Difficulty:- Medium

1 Answer
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Elastic Analysis:-

Ze = $\frac{I_{NA}}{y_{max}}$

=$\frac{\frac{bd^3}{12}}{\frac{d}{2}} = \frac{bd^2}{6}$

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Plastic Analysis:-

$Z_P = \frac{A}{Z}[Y_1+Y_2]$

= $\frac{bd}{4}[\frac{d}{4} + \frac{d}{4}]$

$Z_P = \frac{bd}{2}[\frac{2d}{4}]$

$Z_P = \frac{bd^2}{4}$

sharp factor :-

S = $\frac{Z_P}{Z_e} = \frac{6}{4}$ = 1.5

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