A square steel bar has a length of 6.2 ft and a 2.4 in by 2.4 in cross section and is subjected to axial tension. The final length is 6.20379 ft . The final side length is 2.39943 in . What is Poisson's ratio for the material

The Poisson's ratio for the material is 0.389

Explanation:

Poisson's ratio is given as

Given data for Longitudinal Strain;

Initial length of the square steel bar, L₁ = 6.2 ft

Final length of the square steel bar, L₂ = 6.20379 ft

Change in length of the square steel bar, ΔL = 6.20379 ft - 6.2 ft = 0.00379 ft

Given data for Contraction or lateral  Strain

Initial radius or cross section, r₁ = 2.4 in

Final radius or cross section, r₂ = 2.39943 in

Change in radius, Δr = r₂ - r₁ = 2.39943 in - 2.4 in = -0.00057 in

Thus, Poisson's ratio

Therefore, the Poisson's ratio for the material is 0.389

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