GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 15 of 65

Marks: +1, -0

A concentrated load of

500 {kN}

is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of

2 {m}

and

4 {m}

along the point of the loading, as per Boussinesq's theory, would be

Solution:

-\;{3 Q}/{2 r z^{2}}(\;{1}/{1+(\;{r}/{z})^{2}})^{a \/ 2}

Boussinesq's theory

{r}=0

Q_{1}=\;{3 Q}/{2 r Z^{2}}

Q_{4} ∞ \;{1}/{z^{2}}

\;{Q}/{Q}=(\;{4}/{2})^{2}=4

Go to Question:

Prev Question

Next Question