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The stress in a body due to suddenly applied load compared to when it is applied gradually is _______.
- a)Same
- b)Half
- c)Two times
- d)Four times
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The stress in a body due to suddenly applied load compared to when it ...
Gradually applied load is given as σ = (F/A) ------ (F is the gradually applied load)
here, work done is given as (F δL) / 2 and strain energy stored = (σ2 / 2E) AL
Work done is equal to the strain energy stored.
(F δL) / 2 = (σ2 / 2E) AL
Therefore, σ = (F/A) ----------- (1)
Suddenly applied load is given as σ = (2F/A), here work done = (F δL)
(F δL) = (σ2 / 2E) AL
Therefore, σ = (2F/A) ------------- (2)
From (1) and (2), it can be concluded that
Hence, suddenly applied load is twice the gradually applied load.
here, work done is given as (F δL) / 2 and strain energy stored = (σ2 / 2E) AL
Work done is equal to the strain energy stored.
(F δL) / 2 = (σ2 / 2E) AL
Therefore, σ = (F/A) ----------- (1)
Suddenly applied load is given as σ = (2F/A), here work done = (F δL)
(F δL) = (σ2 / 2E) AL
Therefore, σ = (2F/A) ------------- (2)
From (1) and (2), it can be concluded that
Hence, suddenly applied load is twice the gradually applied load.
Most Upvoted Answer
The stress in a body due to suddenly applied load compared to when it ...
Suddenly applied load is given as σ = (2F/A), here work done = (F δL)
(F δL) = (σ2 / 2E) AL
Therefore, σ = (2F/A) ------------- (2)
From (1) and (2), it can be concluded that
Hence, suddenly applied load is twice the gradually applied load.
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The stress in a body due to suddenly applied load compared to when it ...
Understanding Stress Response
When a load is applied to a structure, the way that load is applied significantly influences the stress experienced by the material. The distinction between a sudden load and a gradual load is crucial in understanding the stress levels.
Sudden Load vs. Gradual Load
- Sudden Load: This load is applied instantaneously, causing an immediate reaction in the material.
- Gradual Load: This load is applied slowly, allowing the material to adapt and redistribute stress over time.
Impact on Stress
The difference in the application of these loads leads to a marked difference in the stress experienced:
- Dynamic Response: In the case of a sudden load, the material does not have time to respond and adjust to the new load conditions. This results in a higher peak stress.
- Static Response: With a gradual load, the stress is distributed more evenly, leading to lower peak stress values.
Mathematical Basis
According to the principles of dynamic loading:
- The stress due to a suddenly applied load can be approximately twice that of a gradually applied load.
- This is due to the inertia effects and the inability of the material to dissipate energy quickly enough under abrupt loading conditions.
Conclusion
Thus, the correct answer to the question is that the stress in a body due to a suddenly applied load, compared to when it is applied gradually, is approximately two times higher. This understanding is critical in civil engineering for designing structures that can withstand dynamic loads effectively.
When a load is applied to a structure, the way that load is applied significantly influences the stress experienced by the material. The distinction between a sudden load and a gradual load is crucial in understanding the stress levels.
Sudden Load vs. Gradual Load
- Sudden Load: This load is applied instantaneously, causing an immediate reaction in the material.
- Gradual Load: This load is applied slowly, allowing the material to adapt and redistribute stress over time.
Impact on Stress
The difference in the application of these loads leads to a marked difference in the stress experienced:
- Dynamic Response: In the case of a sudden load, the material does not have time to respond and adjust to the new load conditions. This results in a higher peak stress.
- Static Response: With a gradual load, the stress is distributed more evenly, leading to lower peak stress values.
Mathematical Basis
According to the principles of dynamic loading:
- The stress due to a suddenly applied load can be approximately twice that of a gradually applied load.
- This is due to the inertia effects and the inability of the material to dissipate energy quickly enough under abrupt loading conditions.
Conclusion
Thus, the correct answer to the question is that the stress in a body due to a suddenly applied load, compared to when it is applied gradually, is approximately two times higher. This understanding is critical in civil engineering for designing structures that can withstand dynamic loads effectively.
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The stress in a body due to suddenly applied load compared to when it is applied gradually is _______.a)Sameb)Halfc)Two timesd)Four timesCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The stress in a body due to suddenly applied load compared to when it is applied gradually is _______.a)Sameb)Halfc)Two timesd)Four timesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The stress in a body due to suddenly applied load compared to when it is applied gradually is _______.a)Sameb)Halfc)Two timesd)Four timesCorrect answer is option 'C'. Can you explain this answer?.
The stress in a body due to suddenly applied load compared to when it is applied gradually is _______.a)Sameb)Halfc)Two timesd)Four timesCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The stress in a body due to suddenly applied load compared to when it is applied gradually is _______.a)Sameb)Halfc)Two timesd)Four timesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The stress in a body due to suddenly applied load compared to when it is applied gradually is _______.a)Sameb)Halfc)Two timesd)Four timesCorrect answer is option 'C'. Can you explain this answer?.
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