Question Bank • QB_FP_129 NAT • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: Thermodynamic principles of I.C. engines

Question Statement:

According to Bekker's soil sinkage equation $p = \left(\frac{k_c}{b} + k_\phi\right) z^n$, a plate of width $b = 10\text{ cm}$ sinks $z = 4\text{ cm}$ under a vertical contact pressure. If $n = 1.0$, $k_c = 15\text{ N/cm}$, and $k_\phi = 2.5\text{ N/cm}^2$, calculate the contact pressure $p$ in $\text{N/cm}^2$.

Answer Key:

16

Step-by-Step Solution & Explanation

Given: - $b = 10\text{ cm}$ - $z = 4\text{ cm}$ - $n = 1.0$ - $k_c = 15\text{ N/cm}$ - $k_\phi = 2.5\text{ N/cm}^2$ $p = \left( \frac{15}{10} + 2.5 \right) \times 4^1 = (1.5 + 2.5) \times 4 = 4.0 \times 4 = 16.0\text{ N/cm}^2$
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