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What is the bearing capacity of a square footing with a side length of 1.5 m on

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Question: What is the bearing capacity of a square footing with a side length of 1.5 m on a soil with a cohesion of 40 kPa and a depth of 1 m?

Options:

  1. 120 kPa
  2. 160 kPa
  3. 200 kPa
  4. 240 kPa

Correct Answer: 200 kPa

Solution: 

The ultimate bearing capacity for a square footing can be calculated as q_u = c*N_c + q. For a depth of 1 m, N_c is approximately 5.0. Thus, q_u = 40 kPa * 5 = 200 kPa.

What is the bearing capacity of a square footing with a side length of 1.5 m on

Practice Questions

Q1
What is the bearing capacity of a square footing with a side length of 1.5 m on a soil with a cohesion of 40 kPa and a depth of 1 m?
  1. 120 kPa
  2. 160 kPa
  3. 200 kPa
  4. 240 kPa

Questions & Step-by-Step Solutions

What is the bearing capacity of a square footing with a side length of 1.5 m on a soil with a cohesion of 40 kPa and a depth of 1 m?
  • Step 1: Identify the given values. We have a square footing with a side length of 1.5 m, soil cohesion of 40 kPa, and a depth of 1 m.
  • Step 2: Understand the formula for ultimate bearing capacity. The formula is q_u = c * N_c + q, where c is the cohesion, N_c is the bearing capacity factor, and q is the vertical stress from the soil above.
  • Step 3: Determine the bearing capacity factor (N_c) for a depth of 1 m. For a square footing at this depth, N_c is approximately 5.0.
  • Step 4: Calculate the contribution from cohesion. Multiply the cohesion (c = 40 kPa) by the bearing capacity factor (N_c = 5.0). This gives us 40 kPa * 5 = 200 kPa.
  • Step 5: Since the depth is 1 m, the vertical stress (q) from the soil above is negligible for this calculation, so we can ignore it.
  • Step 6: Conclude that the ultimate bearing capacity (q_u) of the square footing is 200 kPa.
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