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What is the ultimate bearing capacity of a shallow foundation on a cohesive soil

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Question: What is the ultimate bearing capacity of a shallow foundation on a cohesive soil with a cohesion of 50 kPa and a depth of 1.5 m?

Options:

  1. 100 kPa
  2. 150 kPa
  3. 200 kPa
  4. 250 kPa

Correct Answer: 150 kPa

Solution:

The ultimate bearing capacity (q_u) can be calculated using the formula q_u = c*N_c, where c is the cohesion and N_c is the bearing capacity factor. For a depth of 1.5 m, N_c is approximately 5.0. Thus, q_u = 50 kPa * 5 = 250 kPa.

What is the ultimate bearing capacity of a shallow foundation on a cohesive soil

Practice Questions

Q1
What is the ultimate bearing capacity of a shallow foundation on a cohesive soil with a cohesion of 50 kPa and a depth of 1.5 m?
  1. 100 kPa
  2. 150 kPa
  3. 200 kPa
  4. 250 kPa

Questions & Step-by-Step Solutions

What is the ultimate bearing capacity of a shallow foundation on a cohesive soil with a cohesion of 50 kPa and a depth of 1.5 m?
  • Step 1: Identify the given values. We have a cohesion (c) of 50 kPa and a depth of 1.5 m.
  • Step 2: Understand the formula for ultimate bearing capacity, which is q_u = c * N_c.
  • Step 3: Determine the bearing capacity factor (N_c) for a depth of 1.5 m. For this depth, N_c is approximately 5.0.
  • Step 4: Substitute the values into the formula: q_u = 50 kPa * 5.0.
  • Step 5: Calculate the ultimate bearing capacity: q_u = 250 kPa.
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