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Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.
Reason (R): Eccentric loads in columns produce torsion.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'C'. Can you explain this answer?
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Assertion (A): A column subjected to eccentric load will have its stre...
**Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.**
**Reason (R): Eccentric loads in columns produce torsion.**
The correct answer is option 'C' - A is true but R is false.
**Explanation:**
Let's analyze each statement separately to understand why the correct answer is option 'C'.
**Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.**
When a column is subjected to an eccentric load, the load is not applied directly through the centroid of the column. The eccentricity of the load causes a bending moment to be induced in the column. This bending moment leads to different stresses at different points along the cross-section of the column.
The stress at the centroid of the column is determined solely by the axial load applied to the column. It is given by the formula:
Stress = (Axial Load) / (Area of Cross-section)
Since the stress at the centroid is only dependent on the axial load and the cross-sectional area, it remains constant regardless of the eccentricity of the load. Therefore, Assertion (A) is true.
**Reason (R): Eccentric loads in columns produce torsion.**
This reason is not correct. Eccentric loads in columns do not produce torsion. Torsion is a twisting effect caused by a torque applied to a structural member. In the case of a column, torsion occurs when the load is applied off-center and causes the column to twist. However, in the context of the given statement, the eccentric load does not produce torsion in the column.
In the case of a column subjected to an eccentric load, the primary effect is bending due to the induced bending moment. Torsion may occur if the eccentric load is combined with other loads or if the column is not perfectly straight. But in the context of the given statement, the reason (R) is not correct.
Therefore, the correct answer is option 'C' - A is true but R is false.
**Reason (R): Eccentric loads in columns produce torsion.**
The correct answer is option 'C' - A is true but R is false.
**Explanation:**
Let's analyze each statement separately to understand why the correct answer is option 'C'.
**Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.**
When a column is subjected to an eccentric load, the load is not applied directly through the centroid of the column. The eccentricity of the load causes a bending moment to be induced in the column. This bending moment leads to different stresses at different points along the cross-section of the column.
The stress at the centroid of the column is determined solely by the axial load applied to the column. It is given by the formula:
Stress = (Axial Load) / (Area of Cross-section)
Since the stress at the centroid is only dependent on the axial load and the cross-sectional area, it remains constant regardless of the eccentricity of the load. Therefore, Assertion (A) is true.
**Reason (R): Eccentric loads in columns produce torsion.**
This reason is not correct. Eccentric loads in columns do not produce torsion. Torsion is a twisting effect caused by a torque applied to a structural member. In the case of a column, torsion occurs when the load is applied off-center and causes the column to twist. However, in the context of the given statement, the eccentric load does not produce torsion in the column.
In the case of a column subjected to an eccentric load, the primary effect is bending due to the induced bending moment. Torsion may occur if the eccentric load is combined with other loads or if the column is not perfectly straight. But in the context of the given statement, the reason (R) is not correct.
Therefore, the correct answer is option 'C' - A is true but R is false.
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Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?
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Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. 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 Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. 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 Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. 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 Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. 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 Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer?.
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ample number of questions to practice Assertion (A): A column subjected to eccentric load will have its stress at centroid independent of the eccentricity.Reason (R): Eccentric loads in columns produce torsion.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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