Subject :- Structural Analysis II

Title :- Plastic Analysis

Difficulty:- Medium

1) Elastic Analysis:-

$Z_e = \frac{I_{NA}}{Y_{max}} = \frac{\frac{bh^3}{36}}{\frac{2h}{3}}$

$Z_e = \frac{bh^2}{12}$

2) Plastic Analysis:-

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

For part 1:-

$A_1 = \frac{1}{2}*b_1*h_1$

[By Similar triangle (A)]

$\frac{2}{h} = \frac{b_1}{h_1}$

$b_1 = \frac{b}{(2)^\frac{1}{2}}$

$h_1 = \frac{h}{(2)^\frac{1}{2}}$

$Y_1 = \frac{h_1}{3} = \frac{h}{3(2)^\frac{1}{2}}$

$Y = \frac{x}{3}*(\frac{a+2b}{(a+b)})$ ==> Standard Formulae

$Y_2 …