GATE CE 2019 Set 1 — Question 65
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Geotechnical Engineering → Shallow Foundations → Terzaghi's Bearing Capacity
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Question
A square footing of side is placed at depth in a sand deposit. The dry unit weight () of sand is . This footing has an ultimate bearing capacity of . Consider the depth factors: and the bearing capacity factor: . This footing is placed at a depth of in the same soil deposit. For a factor of safety of as per Terzaghi's theory, the safe bearing capacity (in ) of this footing would be ______.
Correct answer
240 to 240
Solution
Step 1: Determine the bearing capacity factor from the first case.
For a square footing on sand (), Terzaghi's ultimate bearing capacity formula is:Given: , , , , .Step 2: Calculate the ultimate bearing capacity for the second case ().Step 3: Calculate the safe bearing capacity.
Depending on the definition used:
For a square footing on sand (), Terzaghi's ultimate bearing capacity formula is:Given: , , , , .Step 2: Calculate the ultimate bearing capacity for the second case ().Step 3: Calculate the safe bearing capacity.
Depending on the definition used:
- Net safe bearing capacity ():
- Gross safe bearing capacity ():
- Safe bearing capacity ():
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