Question

So long as the degree of consolidation (U) does not exceed 60% , its value after a time t is determined by the equation

• A. $U=\frac{2}{d}\sqrt{\frac{C_v}{\pi t}}$
• B. $U=\frac{2}{d}\sqrt{\frac{C_{v}t}{\pi }}$
• C. $U=2d\sqrt{\frac{C_v}{\pi t}}$
• D. $U=2d\sqrt{\frac{C_v\cdot t}{\pi }}$

Answer 1

The correct option is B $U=\frac{2}{d}\sqrt{\frac{C_{v}t}{\pi }}$

$T_v=\frac{\pi }{4}{\left(U\right)}^2$

$U=\frac{2}{\sqrt{\pi }}\sqrt{T_v}$

U =$\frac{2}{\sqrt{\pi }}\sqrt{\frac{C_{v}t}{d^2}}=\frac{2}{d}\sqrt{\frac{C_{v}t}{\pi }}$