Bearing Capacity - Numerical Applications is a crucial topic for students preparing for school and competitive exams. Understanding this concept helps in solving complex problems related to soil mechanics and foundation engineering. Practicing MCQs and objective questions on this topic enhances your exam preparation and boosts your confidence, ensuring you score better in your assessments.
What You Will Practise Here
Fundamental concepts of bearing capacity and its significance in engineering.
Types of bearing capacity: ultimate and allowable bearing capacity.
Key formulas used in calculating bearing capacity, including Terzaghi's and Meyerhof's equations.
Factors affecting bearing capacity, such as soil type, moisture content, and depth of foundation.
Numerical problems involving the calculation of bearing capacity using various methods.
Diagrams and illustrations to visualize bearing capacity concepts effectively.
Common applications of bearing capacity in real-world engineering scenarios.
Exam Relevance
The topic of Bearing Capacity - Numerical Applications frequently appears in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that require them to apply formulas, interpret diagrams, and solve numerical problems. Common question patterns include direct calculations, conceptual understanding, and application-based scenarios, making it essential to master this topic for success in exams.
Common Mistakes Students Make
Confusing ultimate bearing capacity with allowable bearing capacity.
Neglecting the impact of soil properties on bearing capacity calculations.
Misapplying formulas due to lack of understanding of their derivation.
Overlooking the importance of unit weight of soil in calculations.
Failing to interpret diagrams correctly, leading to incorrect answers.
FAQs
Question: What is the difference between ultimate and allowable bearing capacity? Answer: Ultimate bearing capacity is the maximum load per unit area that the soil can support, while allowable bearing capacity is the safe load that can be applied to the soil, considering safety factors.
Question: How can I improve my understanding of bearing capacity calculations? Answer: Regular practice of MCQs and solving numerical problems will enhance your understanding and application of bearing capacity concepts.
Now is the time to take your exam preparation to the next level! Dive into our practice MCQs on Bearing Capacity - Numerical Applications and test your understanding. Remember, consistent practice is the key to success!
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?
A.
1.5
B.
2.5
C.
3.5
D.
4.5
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.
Q. For a foundation subjected to a vertical load, what is the primary mode of failure?
A.
Shear failure
B.
Bearing capacity failure
C.
Settlement failure
D.
Tensile failure
Solution
The primary mode of failure for a foundation subjected to vertical loads is typically bearing capacity failure, which occurs when the soil can no longer support the applied load.
Q. 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?
A.
120 kPa
B.
160 kPa
C.
200 kPa
D.
240 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.
Q. What is the ultimate bearing capacity of a shallow foundation on a cohesive soil with a cohesion of 50 kPa and a depth of 1.5 m?
A.
100 kPa
B.
150 kPa
C.
200 kPa
D.
250 kPa
Solution
The ultimate bearing capacity (q_u) can be calculated using the formula q_u = c*N_c, where c is the cohesion and N_c is the bearing capacity factor. For a depth of 1.5 m, N_c is approximately 5.0. Thus, q_u = 50 kPa * 5 = 250 kPa.
