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For a beam carrying a uniformly distributed load, the strain energy will be maximum in case thebeam is
- a)Cantilever
- b)Simply supported
- c)Propped cantilever
- d)Fixed at both ends
Correct answer is option 'A'. Can you explain this answer?
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For a beam carrying a uniformly distributed load, the strain energy wi...
Strain Energy in a Beam
Strain energy is the energy stored in a material due to the deformation caused by a load. In a beam, strain energy is stored in the form of elastic deformation due to bending.
Uniformly Distributed Load
A uniformly distributed load is a load that is evenly distributed over the length of the beam. This type of load is commonly found in bridges, floors, and roofs.
Maximum Strain Energy
The maximum strain energy in a beam occurs when the beam is subjected to a uniformly distributed load. This is because the load is distributed evenly over the length of the beam, causing the maximum amount of bending and deformation.
Beam Types
Different types of beams have different levels of support, which affects the amount of bending and deformation that occurs under a load. The types of beams include:
- Cantilever: A beam that is fixed at one end and free at the other end.
- Simply supported: A beam that is supported at both ends and free to rotate.
- Propped cantilever: A beam that is fixed at one end and supported by a prop at the other end.
- Fixed at both ends: A beam that is fixed at both ends.
Effect of Beam Type on Strain Energy
The type of beam has a significant effect on the amount of strain energy that is stored in the beam. In the case of a uniformly distributed load, the cantilever beam will have the maximum strain energy. This is because the cantilever beam is fixed at one end, which prevents any rotation or movement, causing the maximum amount of bending and deformation to occur.
On the other hand, the simply supported beam will have the minimum strain energy since it is supported at both ends and free to rotate, causing less bending and deformation. The propped cantilever and fixed at both ends beams will have intermediate levels of strain energy.
Conclusion
In conclusion, the cantilever beam will have the maximum strain energy when subjected to a uniformly distributed load. This is because the beam is fixed at one end, causing the maximum amount of bending and deformation to occur.
Strain energy is the energy stored in a material due to the deformation caused by a load. In a beam, strain energy is stored in the form of elastic deformation due to bending.
Uniformly Distributed Load
A uniformly distributed load is a load that is evenly distributed over the length of the beam. This type of load is commonly found in bridges, floors, and roofs.
Maximum Strain Energy
The maximum strain energy in a beam occurs when the beam is subjected to a uniformly distributed load. This is because the load is distributed evenly over the length of the beam, causing the maximum amount of bending and deformation.
Beam Types
Different types of beams have different levels of support, which affects the amount of bending and deformation that occurs under a load. The types of beams include:
- Cantilever: A beam that is fixed at one end and free at the other end.
- Simply supported: A beam that is supported at both ends and free to rotate.
- Propped cantilever: A beam that is fixed at one end and supported by a prop at the other end.
- Fixed at both ends: A beam that is fixed at both ends.
Effect of Beam Type on Strain Energy
The type of beam has a significant effect on the amount of strain energy that is stored in the beam. In the case of a uniformly distributed load, the cantilever beam will have the maximum strain energy. This is because the cantilever beam is fixed at one end, which prevents any rotation or movement, causing the maximum amount of bending and deformation to occur.
On the other hand, the simply supported beam will have the minimum strain energy since it is supported at both ends and free to rotate, causing less bending and deformation. The propped cantilever and fixed at both ends beams will have intermediate levels of strain energy.
Conclusion
In conclusion, the cantilever beam will have the maximum strain energy when subjected to a uniformly distributed load. This is because the beam is fixed at one end, causing the maximum amount of bending and deformation to occur.
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For a beam carrying a uniformly distributed load, the strain energy will be maximum in case thebeam isa)Cantileverb)Simply supportedc)Propped cantileverd)Fixed at both endsCorrect answer is option 'A'. Can you explain this answer?
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