The strain energy of a beam is ____.a)Independent of shear force in t...
The strain energy of a beam
- It depends on the shear force in the beam
- It depends on the bending moment in the beam
- It is different than the potential energy
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The strain energy of a beam is ____.a)Independent of shear force in t...
Explanation:
Strain energy is the energy stored in a body due to deformation. In the case of a beam, the strain energy is stored due to bending and shearing.
- Strain energy and shear force: The strain energy in a beam is not independent of the shear force. Shear force causes shear deformation in a beam, which results in the storage of strain energy. Therefore, option A is incorrect.
- Strain energy and bending moment: The strain energy in a beam is not independent of the bending moment. Bending moment causes bending deformation in a beam, which results in the storage of strain energy. Therefore, option B is incorrect.
- Strain energy and potential energy: The strain energy of a beam is not the same as the total potential energy. Potential energy is the energy stored in an object due to its position in a conservative force field. Strain energy, on the other hand, is the energy stored in a body due to deformation. Therefore, option C is incorrect.
- Strain energy in a beam: The strain energy in a beam is a function of the bending moment and shear force. Therefore, option D is the correct answer.
In summary, the strain energy of a beam is not independent of the bending moment and shear force. Therefore, option D is the correct answer.