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Assertion (A): Buckling of long columns causes plastic deformation.
Reason (R): In a buckled column, the stresses do not exceed the yield stress.
- 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 'D'. Can you explain this answer?
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Assertion (A): Buckling of long columns causes plastic deformation.Rea...
And Critical Load for one end fixed, and other end free 
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Assertion (A): Buckling of long columns causes plastic deformation.Rea...
Buckling of long columns is a phenomenon that occurs when a slender column, under compressive load, suddenly bends or deforms laterally. This buckling behavior is different from the typical deformation seen in shorter columns, which usually exhibit elastic deformation.
The given assertion states that buckling of long columns causes plastic deformation. Plastic deformation refers to the permanent change in shape or size of a material after the applied load is removed. Let's evaluate the assertion and reason provided in the question.
Assertion (A): Buckling of long columns causes plastic deformation.
This statement is false. Buckling of long columns does not necessarily cause plastic deformation. Buckling is a form of instability that occurs when the compressive stress exceeds the critical buckling stress. The column undergoes sudden lateral deflection, but this deflection can be elastic in nature. Once the load is removed, the column returns to its original shape without any permanent deformation.
Reason (R): In a buckled column, the stresses do not exceed the yield stress.
This statement is true. When a column buckles, the stresses in the column redistribute, and the maximum stress in the buckled region is typically lower than the yield stress of the material. This means that the material does not experience plastic deformation during the buckling process.
Explanation:
The reason provided in the question is indeed correct. When a column buckles, the load is redistributed from the buckled region to the remaining part of the column. This redistribution of load results in a decrease in the maximum stress in the buckled region.
However, the assertion is not correct because buckling itself does not cause plastic deformation. Plastic deformation occurs when the applied stress exceeds the yield stress of the material, causing permanent deformation. In the case of buckling, the stresses in the buckled region do not exceed the yield stress, and therefore, plastic deformation does not occur.
Conclusion:
In conclusion, the given assertion is false because buckling of long columns does not cause plastic deformation. While the reason provided is true, it does not explain or support the assertion accurately. Therefore, option D is the correct answer.
The given assertion states that buckling of long columns causes plastic deformation. Plastic deformation refers to the permanent change in shape or size of a material after the applied load is removed. Let's evaluate the assertion and reason provided in the question.
Assertion (A): Buckling of long columns causes plastic deformation.
This statement is false. Buckling of long columns does not necessarily cause plastic deformation. Buckling is a form of instability that occurs when the compressive stress exceeds the critical buckling stress. The column undergoes sudden lateral deflection, but this deflection can be elastic in nature. Once the load is removed, the column returns to its original shape without any permanent deformation.
Reason (R): In a buckled column, the stresses do not exceed the yield stress.
This statement is true. When a column buckles, the stresses in the column redistribute, and the maximum stress in the buckled region is typically lower than the yield stress of the material. This means that the material does not experience plastic deformation during the buckling process.
Explanation:
The reason provided in the question is indeed correct. When a column buckles, the load is redistributed from the buckled region to the remaining part of the column. This redistribution of load results in a decrease in the maximum stress in the buckled region.
However, the assertion is not correct because buckling itself does not cause plastic deformation. Plastic deformation occurs when the applied stress exceeds the yield stress of the material, causing permanent deformation. In the case of buckling, the stresses in the buckled region do not exceed the yield stress, and therefore, plastic deformation does not occur.
Conclusion:
In conclusion, the given assertion is false because buckling of long columns does not cause plastic deformation. While the reason provided is true, it does not explain or support the assertion accurately. Therefore, option D is the correct answer.
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Assertion (A): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. Can you explain this answer?
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Assertion (A): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. 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): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. 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): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. Can you explain this answer?.
Assertion (A): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. 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): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. 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): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. Can you explain this answer?.
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ample number of questions to practice Assertion (A): Buckling of long columns causes plastic deformation.Reason (R): In a buckled column, the stresses do not exceed the yield stress.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 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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