# A steel pad supporting heavy machinery rests on Four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression in 50 ksi. The outer diameter of the piers is d = 4.5 in, and the wall thickness is t = 0.40 in. Using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load P that can be supported by the pad.

### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347

### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 1, Problem 1.9.5P
Textbook Problem
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## A steel pad supporting heavy machinery rests on Four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression in 50 ksi. The outer diameter of the piers is d = 4.5 in, and the wall thickness is t = 0.40 in.Using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load P that can be supported by the pad.

To determine

### Explanation of Solution

Given Information: A steel pad supporting heavy machinery is shown in the figure below:

Ultimate limit in compression σu=50 ksi,

P = 900 kN

Factor of Safety K = 3.5

Thickness of cross section t = 0.40 in. and,

Outer diameter of the piers d = 4.5 in.

A=π4(d2(d2t)2)

A=π4((4.5)2(4.52 ( 0

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