A solid, circular, cast-iron bar (E = 12.5 X 106 psi, ν = 0.3) of diameter 2.13 inch, and height 15 inch is compressed by axial force P = 42,000 lb as in the figure below. (a) Find the change of height (inch), and (b) find the change of diameter (inch) of the bar. Neglect the weight of the bar

Structural Analysis
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Chapter2: Loads On Structures
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A solid, circular, cast-iron bar (E = 12.5 X 106 psi, ν = 0.3) of diameter 2.13 inch, and height 15 inch is compressed by axial force P = 42,000 lb as in the figure below. (a) Find the change of height (inch), and (b) find the change of diameter (inch) of the bar. Neglect the weight of the bar.

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Introduction

Poisson's ratio is the ratio of longitudinal strain to the lateral strain. Longitudinal strain is calculated along length of bar and lateral stain is calculated along width of bar.

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