For a foundation on clay, if the undrained shear strength is 75 kPa, what is the

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Question: For a foundation on clay, if the undrained shear strength is 75 kPa, what is the ultimate bearing capacity using Terzaghi\'s equation?

Options:

Correct Answer: 225 kPa

Solution:

Using Terzaghi\'s equation for cohesive soils, q_u = c*N_c + q, where c = 75 kPa, N_c = 5, and assuming q = 0, q_u = 75 kPa * 5 = 375 kPa.

For a foundation on clay, if the undrained shear strength is 75 kPa, what is the ultimate bearing capacity using Terzaghi's equation?

For a foundation on clay, if the undrained shear strength is 75 kPa, what is the ultimate bearing capacity using Terzaghi's equation?

Step 1: Identify the undrained shear strength (c) of the clay, which is given as 75 kPa.
Step 2: Identify the value of the bearing capacity factor (N_c) for cohesive soils, which is given as 5.
Step 3: Assume the overburden pressure (q) is 0 for this calculation, as stated in the problem.
Step 4: Use Terzaghi's equation for ultimate bearing capacity: q_u = c * N_c + q.
Step 5: Substitute the values into the equation: q_u = 75 kPa * 5 + 0.
Step 6: Calculate the result: q_u = 375 kPa.

Undrained Shear Strength – The maximum shear stress that a saturated clay can withstand without drainage.
Terzaghi's Bearing Capacity Equation – A formula used to calculate the ultimate bearing capacity of shallow foundations on cohesive soils.
Cohesive Soils – Soils that exhibit significant cohesion, such as clay, which affects their bearing capacity.