Question

For a loaded circular area of radius ‘a’, μ=Poisson’s ratio, the horizontal radial stress is ________

a.

\(σ_r=\frac{p}{2} \left[1+2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}\right]\)

b.

\(σ_r=\frac{p}{2} \left[\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+\frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)

c.

\(σ_r=\frac{p}{2} \left[1-2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+\frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)

d.

\(σ_r=\frac{p}{2} \left[1+2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+\frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)

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Answer: (d).\(σ_r=\frac{p}{2} \left[1+2μ-\frac{2(1+μ)z}{(a^2+z^2)^\frac{1}{2}}+\frac{z^3}{(a^2+z^2)^\frac{3}{2}}\right]\)

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Q. For a loaded circular area of radius ‘a’, μ=Poisson’s ratio, the horizontal radial stress is ________

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