If the net safe bearing capacity of a footing is 350 kPa and safe bearing pressure is 400 kPa, then the allowable bearing capacity is
- A400 kPa
- B350 kPaCorrect
- C750 kPa
- D375 kPa
Solution
Concept
Allowable Bearing Capacity
Formula
qallowable = Min(qnetsafe, qsafebearingpressure)
Step-by-step solution
1. Identify the given values: Net safe bearing capacity = 350 kPa and Safe bearing pressure = 400 kPa. 2. Apply the formula: Allowable bearing capacity = Min(350, 400). 3. Compare the values and select the smaller one: 350 kPa (Option B).
Explanation
The allowable bearing capacity is the maximum pressure a soil can safely support without experiencing shear failure or excessive settlement. When designing a footing, the allowable bearing capacity is taken as the smaller (more critical) value between the net safe bearing capacity (which prevents shear failure) and the safe bearing pressure (which prevents excessive settlement). Comparing 350 kPa and 400 kPa, the smaller value is 350 kPa.
Shortcut
Allowable bearing capacity is always the smaller (minimum) value between net safe bearing capacity and safe bearing pressure.
Common mistake
Students often select the larger value (400 kPa) instead of taking the minimum of the net safe bearing capacity and safe bearing pressure.
Correct answer: B) 350 kPa