Calculating Cross Sectional Dimensions of Steel Bar Under Compression

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When a steel bar with a rectangular cross section of 120mm x 60mm is subjected to a longitudinal compressive force of 1500kN, its cross-sectional dimensions will decrease due to the effects of Poisson's ratio. Using Young's modulus (E=200GPa) and Poisson's ratio (v=0.3), the longitudinal strain can be calculated, which will then inform the transverse strain. The transverse dimensions can be derived from the relationship between longitudinal and transverse strains as dictated by Poisson's ratio. The resulting dimensions will reflect a reduction in both width and height of the cross section. Understanding these relationships is crucial for accurate calculations in structural engineering applications.
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A steel bar of rectangular cross section 120mm x 60mm is compressed along its longitudinal direction by a force of 1500kN. Do the cross sectional dimensions increase or decrease ? Calculate and write down the resulting dimensions for both sides for both sides of the cross section. Youngs modulus E=200GPa, and Poissons rato of v=0.3

I am not sure what equations to use to do this so I haven't showed any attempts.
Any help would be great.
 
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HINT: How is Poisson's ratio related to the transverse and longitudinal strains?
 

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