- #1
archaic
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- Homework Statement
- A vertical solid steel post of diameter d = 21 cm and length L = 2.20 m is required to support a load of mass m = 7500 kg . You can ignore the weight of the post.
What is the stress in the post?
What is the strain in the post?
What is the change in the post's length when the load is applied?
- Relevant Equations
- Stress is ##F/A##, and ##Y=\frac{F}{A}\frac{L}{\Delta L}##
$$\text{stress}=\frac{7500\times9.8}{0.105^2\pi}\approx2.1\times10^6\,Pa$$
##Y=20\times10^{10}\,Pa## for steel.
$$\frac{\Delta L}{L}=\frac{\text{stress}}{Y}\approx1.1\times10^{-5}$$
$$\Delta L\approx2.3\times10^{-5}\,m$$
##Y=20\times10^{10}\,Pa## for steel.
$$\frac{\Delta L}{L}=\frac{\text{stress}}{Y}\approx1.1\times10^{-5}$$
$$\Delta L\approx2.3\times10^{-5}\,m$$