Question

Lateral pressure exerted by grain in a silo was found to be 2000 kg.m\(^{-2}\). If the Rankine's coefficient is 0.5, vertical pressure in the silo will be:

• A. 1000 kg.m\(^{-2}\)
• B. 4000 kg.m\(^{-2}\)
• C. 2000 kg.m\(^{-2}\)
• D. 0 kg.m\(^{-2}\)

Hint:

K = Lateral pressure Vertical pressure.
For most grains, K is around 0.4 to 0.6.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
In silos, lateral pressure is related to vertical pressure.
Rankine's coefficient relates these pressures.

Step 2: Key Formula or Approach:
Rankine's coefficient (K) = Lateral pressure Vertical pressure.
So, Vertical pressure = Lateral pressure K.

Step 3: Detailed Explanation:
Given: Lateral pressure = 2000 kg.m\(^{-2}\).
Rankine's coefficient (K) = 0.5.
Vertical pressure = 2000 0.5 = 4000 kg.m\(^{-2}\).

Step 4: Final Answer:
The vertical pressure in the silo is 4000 kg.m\(^{-2}\).
Hence, the correct option is (B).