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miguearrobita
11.11.2020 •
Physics
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
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Ответ:
The stress is![\sigma = 1.218*10^{6} \ N/m^2](/tpl/images/0886/8824/28cfd.png)
Explanation:
From the question we are told that
The diameter of the post is![d = 29 \ cm = 0.29 \ m](/tpl/images/0886/8824/27f66.png)
The length is![L = 2.0 \ m](/tpl/images/0886/8824/22ac0.png)
The weight of the loading mass
Generally the radius of the post is mathematically represented as
=>![r = 0.145 \ m](/tpl/images/0886/8824/ed25f.png)
Generally the area of the post is
=>![A = 3.14 * 0.145 ^2](/tpl/images/0886/8824/b5ac4.png)
=>![A = 0.066 \ m^2](/tpl/images/0886/8824/b1aa0.png)
Generally the weight exerted by the load is mathematically represented as
=>![F = 8200 * 9.8](/tpl/images/0886/8824/15902.png)
=>![F = 80360 \ N](/tpl/images/0886/8824/56c28.png)
Generally the stress is mathematically represented as
=>![\sigma = \frac{80360 }{0.066}](/tpl/images/0886/8824/56506.png)
=>![\sigma = 1.218*10^{6} \ N/m^2](/tpl/images/0886/8824/28cfd.png)
Ответ: