A stairwell is supported by two circular steel rods at one end. The other end supported above....

Question:

A stairwell is supported by two circular steel rods at one end. The other end supported above. The two steel rods are subjected to a total load of 12,800 lbs. The rods are 24 ft long and {eq}E = 30 \times 10^6 {/eq} psi. Is it correct that the rod deformation should not exceed 0.375 inches and the allowable tensile stress is 10,844 psi?

Hooke's Law:

The extent of stress generated in a material is proportional to the amount of strain that the material undergoes till the proportional limit. This is what is referred to as Hooke's law. A body, if released from this proportional limit, will regain its actual shape and will have zero strain.

Answer and Explanation:

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Given Data

  • The steel rods together bear a load of : {eq}P = 12,800\;{\rm{lbs}} {/eq} .
  • The length of each rod is: {eq}L = 24\;{\rm{ft}} {/eq} .
  • T...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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