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Determine sharp factor or diamond or square section of beam.

Subject :- Structural Analysis II

Title :- Plastic Analysis

Difficulty:- Medium

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1 Answer
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Elastic Analysis:-

$Z_e = \frac{I_{NA}}{Y_{max}}$

I = $\frac{bh^2}{12}*2$

$Y_{max} = h$

= $\frac{\frac{bh^3}{6}}{h}$

[$Z_e = \frac{bh^2}{6}$]

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Plastic Analysis:-

$Z_p = \frac{A}{2}[Y_1 +Y_2]$

= $\frac{bh^2}{3}$

sharp factor :-

S = $\frac{Z_p}{Z_e}$

= $\frac{\frac{bh^2}{3}}{\frac{bh^2}{6}}$ ; [S= 2]

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