Question

A steel plate of width 120mm and thickness of 20mm is bent into a circular arc radius of 10. You are required to calculate the maximum stress induced and the bending moment which will give the maximum stress. You are given that E=2*10^5​

Answer 1

Answer:

Hence the magnitude of the pure moment m will be $2\times 10^5.$

Explanation:

•  Width of steel fleet = 120 mm
•   The thickness of steel fleet = 10 mm
•   Let the circle of radius = 10 m  

Now,

We know that,

$\frac{M}{I} = \frac{E}{R}$

Thus, $M =\frac{EI}{R}$

Here

R = 10000 mm  

$I=\frac{1}{12}\times 120\times 10^{3}\\= 10^{4} mm^{4}$

$E=2\times 10^{5}n/mm^{2}\\\\E=2\times 10^{5}n/mm^{2}\\\\M={(2\times 10^{5}\times 10^{4})/{10000}}\\\\M=2\times 10^{5}$

 

Hence, the magnitude of the pure moment m will be $2\times 10^5.$