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There is a maximum height of a uniform vertical column

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli ISBN: 9780130606204 3

Solution for problem 80GP Chapter 9

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 80GP

There is a maximum height of a uniform vertical column made of any material that can support itself without buckling, and it is independent of the cross-sectional area (why?). Calculate this height for (a) steel (density ), and (b) granite (density 2.7 X 103 kg/m3).

Step-by-Step Solution:

Step-by-step solution

Step 1 of 4 </p>

Density of steel and granite are given.

Compressive strength of steel=500x106N/m2

Compressive strength of granite=170x106N/m2

Step 2 of 4</p>

The maximum stress of the column is because of it weight and exerts to the bottom of the column. If the stress is bigger then compressive strength of the material , the column collapse.

         

The maximum height is independent of the area. How thick the column is not important.

Step 3 of 4

Chapter 9, Problem 80GP is Solved
Step 4 of 4

Textbook: Physics: Principles with Applications
Edition: 6
Author: Douglas C. Giancoli
ISBN: 9780130606204

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There is a maximum height of a uniform vertical column

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