Uniformly Loaded Rectangular Area

Q. The vertical stress at some depth below the corner of a 2 m $\times$ 3 m rectangular footing due to a certain load intensity is 100$KN/m^2$. What will be the vertical stress in $KN/m^2$ below the centre of a 4 m $\times$ 6m rectangular footing at the same depth and same load intensity?

1. 25
2. 100
3. 200
4. 400

Q. A footing of $3m\times 3m$ size transmits a load of 1800 kN. The angle of load dispersion in soil $\alpha ={\tan }^{-1}0.5$. What is the stress created by the footing load at a depth of 5m?

1. $26.12kN/m^2$
2. $27.12kN/m^2$
3. $28.12kN/m^2$
4. $29.12kN/m^2$