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If the area of cross-section of a circular section beam is made four times, keeping the loads, length, support conditions and material of the beam unchanged, then the quantities (List-I) will change through different factors (List-II). Match the List-I with the List-II and select the correct answer using the code given below the lists.
List-I List-II
a. Maximum BM 1. 8
b. Deflection 2. 1
c. Bending Stress 3. 1/8
d. Section Modulus 4. 1/16
Codes: a b c d
  • a)
    3 1 2 4
  • b)
    2 4 3 1
  • c)
    3 4 2 1
  • d)
    2 1 3 4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the area of cross-section of a circular section beam is made four ...
A2 = 4 A1
Assuming, d2 = 2d1 A case of cantilever beam loaded with a point load P is used.
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Most Upvoted Answer
If the area of cross-section of a circular section beam is made four ...
To understand the changes in the quantities listed when the area of cross-section of a circular section beam is made four times, we need to analyze the relationship between these quantities and the area of cross-section. Let's go through each quantity and its corresponding factor:

1. Maximum BM (Bending Moment):
- The maximum bending moment experienced by a beam is directly proportional to the area of cross-section.
- When the area of cross-section is made four times, the maximum bending moment will also increase by a factor of four.
- Therefore, the factor for Maximum BM is 4.

2. Deflection:
- The deflection of a beam is inversely proportional to the area of cross-section.
- When the area of cross-section is made four times, the deflection will decrease by a factor of 1/4.
- Therefore, the factor for Deflection is 1/4.

3. Bending Stress:
- The bending stress experienced by a beam is directly proportional to the bending moment and inversely proportional to the section modulus.
- When the area of cross-section is made four times, the section modulus will increase by a factor of four (since it depends on the square of the radius).
- The bending moment increases by a factor of four (as discussed in point 1).
- Therefore, the bending stress will remain unchanged.
- The factor for Bending Stress is 1.

4. Section Modulus:
- The section modulus of a beam is directly proportional to the area of cross-section.
- When the area of cross-section is made four times, the section modulus will increase by a factor of four.
- Therefore, the factor for Section Modulus is 4.

Matching the quantities (List-I) with their corresponding factors (List-II) based on the above analysis, we get the correct answer as option 'B':
2 - 4
4 - 1/4
3 - 1
1 - 4
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If the area of cross-section of a circular section beam is made four times, keeping the loads, length, support conditions and material of the beam unchanged, then the quantities (List-I) will change through different factors (List-II). Match the List-I with the List-II and select the correct answer using the code given below the lists.List-I List-IIa. Maximum BM 1. 8b. Deflection 2. 1c. Bending Stress 3. 1/8d. Section Modulus 4. 1/16Codes: a b c da) 3 1 2 4b) 2 4 3 1c) 3 4 2 1d) 2 1 3 4Correct answer is option 'B'. Can you explain this answer?
Question Description
If the area of cross-section of a circular section beam is made four times, keeping the loads, length, support conditions and material of the beam unchanged, then the quantities (List-I) will change through different factors (List-II). Match the List-I with the List-II and select the correct answer using the code given below the lists.List-I List-IIa. Maximum BM 1. 8b. Deflection 2. 1c. Bending Stress 3. 1/8d. Section Modulus 4. 1/16Codes: a b c da) 3 1 2 4b) 2 4 3 1c) 3 4 2 1d) 2 1 3 4Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the area of cross-section of a circular section beam is made four times, keeping the loads, length, support conditions and material of the beam unchanged, then the quantities (List-I) will change through different factors (List-II). Match the List-I with the List-II and select the correct answer using the code given below the lists.List-I List-IIa. Maximum BM 1. 8b. Deflection 2. 1c. Bending Stress 3. 1/8d. Section Modulus 4. 1/16Codes: a b c da) 3 1 2 4b) 2 4 3 1c) 3 4 2 1d) 2 1 3 4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the area of cross-section of a circular section beam is made four times, keeping the loads, length, support conditions and material of the beam unchanged, then the quantities (List-I) will change through different factors (List-II). Match the List-I with the List-II and select the correct answer using the code given below the lists.List-I List-IIa. Maximum BM 1. 8b. Deflection 2. 1c. Bending Stress 3. 1/8d. Section Modulus 4. 1/16Codes: a b c da) 3 1 2 4b) 2 4 3 1c) 3 4 2 1d) 2 1 3 4Correct answer is option 'B'. Can you explain this answer?.
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