Question

In a plate load test conducted on cohesionless soil, a 600 mm square test plate settles by 15 mm under a load intensity of $0.2N/m{m}^2.$ All conditions remaining the same, settlement of a 1 m square footing will be

• A.
  Less than 15mm
• B.
  Greater than 25mm
• C.
  15.60 mm
• D.
  20.50mm

Answer 1

The correct option is D

20.50mm
$$B_1=600mm$$$$=0.6m$$Settlement$$S_1=15mm$$$$B_2=1m$$$$\frac{S_2}{S_1}={\left[\frac{B_2(B_1+0.3)}{B_1(B_2+0.3)}\right]}^2$$$$\Rightarrow \frac{S_2}{15}={\left[\frac{1(0.6+0.3)}{0.6(1+0.3)}\right]}^2$$$$\Rightarrow S_2=19.97mm$$