Multiple choice

A 25 kN point load acts on the surface of an infinite elastic medium. The vertical pressure intensity in kN/m2 at a point 6.0 m below and 4.0 m away from the load will be

  1. 132

  2. 13.2

  3. 1.32

  4. 0.132
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D Correct answer
Explanation

 $\text{We have}, \sigma_z = \frac{3Q}{2 \pi z^2} \bigg[ \frac{1}{1+(r/z)^2}\bigg]^{5/2}\\ \hspace{2.3cm}=\frac{3 \times 25}{2 \pi \times 6^2} \times \frac{3Q}{2 \pi z^2} \bigg[ \frac{1}{1+(4/6)^2}\bigg]^{5/2}\\ \hspace{2.3cm} = 0.132 kN/m^2$

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