Questions and answers for exam Preparation

MCQs

Total Questions : 189 | Page 18 of 19 pages

Question 171. The Westergaard’s influence factor is given by _____________

\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)
\(K_W=\frac{Q}{z^2} \)
\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{5}{2}} \frac{Q}{z^2} \)
\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^3}\frac{Q}{z^2} \)

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Answer: Option A. -> \(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)
Answer: (a).\(K_W=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)

Question 172. For a uniformly loaded rectangular area, the Newmark’s influence factor given by ___________

\(K= \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)
\(K= \frac{1}{4π} \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)
\(K= \frac{1}{4π}\)
\(K= \frac{q}{4π} \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)

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Answer: Option B. -> \(K= \frac{1}{4π} \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)
Answer: (b).\(K= \frac{1}{4π} \left[\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}*\frac{0.2^2+0.4^2+2}{0.2^2+0.4^2+1}+tan^{-1}\frac{20.20.4\sqrt{(0.2^2+0.4^2+1)}}{0.2^2+0.4^2+0.2^2 0.4^2+1}\right] \)

Question 173. The Westergaard’s equation is given by ___________

\(σ_z=\frac{1}{\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)
\(σ_z=\frac{1}{2\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)
\(σ_z=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}}\frac{Q}{z^2} \)
\(σ_z=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}} \)

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Answer: Option C. -> \(σ_z=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}}\frac{Q}{z^2} \)
Answer: (c).\(σ_z=\frac{1}{π\left[1+2(\frac{r}{z})^2 \right]^\frac{3}{2}}\frac{Q}{z^2} \)

Question 174. Find the vertical pressure at depth 5m for a uniformly loaded circular area of 80 kN/m² load and radius of 5m.