A strip footing is placed on a sandy soil with a friction angle of 30 degrees. What is the approximate value of the bearing capacity factor N_q?
Practice Questions
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Q1
A strip footing is placed on a sandy soil with a friction angle of 30 degrees. What is the approximate value of the bearing capacity factor N_q?
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For a friction angle of 30 degrees, the bearing capacity factor N_q can be approximated using the formula N_q = e^(π * tan(φ)) * tan(45 + φ/2). For φ = 30 degrees, N_q is approximately 3.5.
Questions & Step-by-step Solutions
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Q
Q: A strip footing is placed on a sandy soil with a friction angle of 30 degrees. What is the approximate value of the bearing capacity factor N_q?
Solution: For a friction angle of 30 degrees, the bearing capacity factor N_q can be approximated using the formula N_q = e^(π * tan(φ)) * tan(45 + φ/2). For φ = 30 degrees, N_q is approximately 3.5.
Steps: 8
Step 1: Identify the friction angle (φ) of the soil, which is given as 30 degrees.
Step 2: Recall the formula for the bearing capacity factor N_q: N_q = e^(π * tan(φ)) * tan(45 + φ/2).
Step 3: Calculate tan(φ) for φ = 30 degrees. The value of tan(30 degrees) is approximately 0.577.
