Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 12 - Equilibrium and Elasticity - Problems - Page 350: 47b

Answer

75 columns are required.

Work Step by Step

The ultimate strength of steel is $400\times 10^6~N/m^2$ We can find the weight that each column can support such that the stress is $200\times 10^6~N/m^2$: $W = (200\times 10^6~N/m^2)(0.0960~m^2) = 1.92\times 10^7~N$ In part (a), we found that the total weight of the ground material is $~~1.43\times 10^9~N$ We can find the required number of columns: $\frac{1.43\times 10^9~N}{1.92\times 10^7~N} = 74.5$ 75 columns are required.
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