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U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will be
- a)U = U1 + U2
- b)U = U1 U2
- c)U < />1 + U2
- d)U > U1 + U2
Correct answer is option 'D'. Can you explain this answer?
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U1 and U2 are the strain energies stored in a prismatic bar due to ax...
Strain energy stored in prismatic bar due to axial load is
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U = P2L/2AE
Calculation:
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U1 and U2 are the strain energies stored in a prismatic bar due to ax...
Explanation:
When a prismatic bar is subjected to an axial tensile force, it undergoes deformation in the form of elongation. This deformation is characterized by strain, which is the ratio of the change in length to the original length of the bar.
The strain energy, denoted by U, is the energy stored in the bar due to this deformation. It represents the work done by the external forces in deforming the bar.
Strain Energy due to Axial Tensile Force:
- When the bar is subjected to an axial tensile force P1, it will experience a certain amount of elongation and store a certain amount of strain energy, denoted by U1.
- Similarly, when the bar is subjected to another axial tensile force P2, it will undergo additional elongation and store additional strain energy, denoted by U2.
Strain Energy due to Combined Action of P1 and P2:
- When the bar is subjected to the combined action of P1 and P2, the total elongation and strain energy stored in the bar will be greater than the sum of the individual elongations and strain energies.
- This is because the bar undergoes a compounded effect of the two forces, leading to a higher level of deformation and energy storage.
Comparison of Strain Energies:
- The strain energy stored in the bar due to the combined action of P1 and P2 can be represented as U.
- The options provided in the question are:
a) U = U1 U2
b) U = U1 U2
c) U 1 U2
d) U > U1 U2
Correct Answer:
- The correct answer is option 'D' - U > U1 U2.
- This means that the strain energy stored in the bar due to the combined action of P1 and P2 is greater than the sum of the individual strain energies U1 and U2.
- This is consistent with the compounded effect of the forces, leading to a higher level of deformation and energy storage in the bar.
In conclusion, the strain energy stored in a prismatic bar due to the combined action of axial tensile forces P1 and P2 is greater than the sum of the individual strain energies.
When a prismatic bar is subjected to an axial tensile force, it undergoes deformation in the form of elongation. This deformation is characterized by strain, which is the ratio of the change in length to the original length of the bar.
The strain energy, denoted by U, is the energy stored in the bar due to this deformation. It represents the work done by the external forces in deforming the bar.
Strain Energy due to Axial Tensile Force:
- When the bar is subjected to an axial tensile force P1, it will experience a certain amount of elongation and store a certain amount of strain energy, denoted by U1.
- Similarly, when the bar is subjected to another axial tensile force P2, it will undergo additional elongation and store additional strain energy, denoted by U2.
Strain Energy due to Combined Action of P1 and P2:
- When the bar is subjected to the combined action of P1 and P2, the total elongation and strain energy stored in the bar will be greater than the sum of the individual elongations and strain energies.
- This is because the bar undergoes a compounded effect of the two forces, leading to a higher level of deformation and energy storage.
Comparison of Strain Energies:
- The strain energy stored in the bar due to the combined action of P1 and P2 can be represented as U.
- The options provided in the question are:
a) U = U1 U2
b) U = U1 U2
c) U 1 U2
d) U > U1 U2
Correct Answer:
- The correct answer is option 'D' - U > U1 U2.
- This means that the strain energy stored in the bar due to the combined action of P1 and P2 is greater than the sum of the individual strain energies U1 and U2.
- This is consistent with the compounded effect of the forces, leading to a higher level of deformation and energy storage in the bar.
In conclusion, the strain energy stored in a prismatic bar due to the combined action of axial tensile forces P1 and P2 is greater than the sum of the individual strain energies.
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U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer?
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U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer?.
U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer?.
Solutions for U1 and U2 are the strain energies stored in a prismatic bar due to axial tensile force P1 and P2 respectively. The strain energy stored in the same bar due to combined action of P1 and P2 will bea)U = U1 + U2b)U = U1 U2c)U 1 + U2d)U > U1 + U2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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