Question

a vertical solid steel post 29cm in diameter and 2.0m long is required to support a load of 8200kg, ignore the weight of the post. determine the stress in the post​

Answer 1

Answer:

The stress is  $\sigma = 1.218*10^{6} \ N/m^2$

Explanation:

From the question we are told that

   The diameter of the post is  $d = 29 \ cm = 0.29 \ m$

   The length is $L = 2.0 \ m$

    The weight of the loading mass

Generally  the  radius of the post is mathematically represented as

     $r = \frac{0.29}{2}$

=>   $r = 0.145 \ m$

Generally the area of the post is  

       $A = \pi r^2$

=>     $A = 3.14 * 0.145 ^2$

=>     $A = 0.066 \ m^2$

Generally the weight exerted by the load is mathematically represented as

        $F = m * g$

=>      $F = 8200 * 9.8$

=>      $F = 80360 \ N$

Generally the stress is mathematically represented as

         $\sigma = \frac{F}{A}$

=>      $\sigma = \frac{80360 }{0.066}$

=>      $\sigma = 1.218*10^{6} \ N/m^2$