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Find sharp factor for circle

Subject :-* Structural Analysis II

Title :- Plastic Analysis

Difficulty:- Medium

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1 Answer
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Elastic Analysis:-

$Z_e = \frac{I_{NA}}{y_{max}} = \frac{\frac{πd^4}{84}}{\frac{d}{2}}$

[$Z_e = \frac{πD^3}{32}$]

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Plastic analysis:-

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

=$\frac{πd^2}{8} * \frac{4d}{3π}$

$Z_e = \frac{d^3}{6}$

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sharp factor:-

$\frac{Z_p}{Z_e} = \frac{16}{3π} = 1.64$

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