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In virtual work Principle, the work done by self weight of the body is taken into consideration, when
- a)centre of gravity moves vertically
- b)centre of gravity moves horizantally
- c)shear centre moves horizantally
- d)shear centre moves vertically
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In virtual work Principle, the work done by self weight of the body is...
Virtual work principle states that “when a body is in equilibrium then for a small change in displacement, the total work done should be zero”.
The forces which are considered for virtual work is:
The forces which are considered for virtual work is:
- The tension in the body when displacement alters the length of the body.
- The thrust in the body when displacement alters the length of the body.
- Weight of the body.
If ‘w’ is the weight of the body and ‘h’ is the distance between the centre of gravity and the fixed plane, then the virtual work should be ‘wh’ when the centre of gravity is below the fixed plane. When the centre of gravity is above the fixed plane, the virtual work is ‘-wΔh’. If the centre of gravity is not moving in the upward or downward direction, then the weight of the body is not doing any work. Hence, the work done by the self-weight of the body is taken into consideration when the centre of gravity moves vertically.
Option ‘1’ is correct.
Option ‘1’ is correct.
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In virtual work Principle, the work done by self weight of the body is...
Virtual Work Principle and the Work Done by Self Weight of the Body
The virtual work principle, also known as the principle of virtual work or the principle of virtual displacements, is a fundamental concept in mechanics that is often used to analyze structures and determine their equilibrium conditions. It is based on the principle that for a system in equilibrium, the virtual work done by external forces and the virtual work done by internal forces must be equal.
In the context of the given question, we are considering the work done by the self-weight of a body. The self-weight of a body refers to the force exerted by the gravitational field on the body due to its mass. When the center of gravity of the body moves vertically, it means that the body is being displaced vertically under the influence of external forces.
Explanation of the Correct Answer (Option 'A')
When the center of gravity of a body moves vertically, the body is subjected to a vertical displacement. In this case, the self-weight of the body will also contribute to the virtual work done by the external forces. The self-weight force acts vertically downwards, opposing the displacement of the body. As a result, the work done by the self-weight force is negative, indicating that energy is being transferred from the body to the surroundings.
According to the virtual work principle, the total virtual work done by external forces on the body must be equal to zero for the body to be in equilibrium. This means that the negative virtual work done by the self-weight force must be balanced by the positive virtual work done by other external forces.
By considering the work done by the self-weight of the body, we can accurately account for the effect of gravity on the equilibrium of the body. This is particularly important in structural analysis, where the self-weight of a structure can significantly influence its behavior and stability.
In summary, when the center of gravity of a body moves vertically, the work done by the self-weight of the body is taken into consideration in the virtual work principle. This is because the self-weight force opposes the vertical displacement of the body and contributes to the overall equilibrium conditions.
The virtual work principle, also known as the principle of virtual work or the principle of virtual displacements, is a fundamental concept in mechanics that is often used to analyze structures and determine their equilibrium conditions. It is based on the principle that for a system in equilibrium, the virtual work done by external forces and the virtual work done by internal forces must be equal.
In the context of the given question, we are considering the work done by the self-weight of a body. The self-weight of a body refers to the force exerted by the gravitational field on the body due to its mass. When the center of gravity of the body moves vertically, it means that the body is being displaced vertically under the influence of external forces.
Explanation of the Correct Answer (Option 'A')
When the center of gravity of a body moves vertically, the body is subjected to a vertical displacement. In this case, the self-weight of the body will also contribute to the virtual work done by the external forces. The self-weight force acts vertically downwards, opposing the displacement of the body. As a result, the work done by the self-weight force is negative, indicating that energy is being transferred from the body to the surroundings.
According to the virtual work principle, the total virtual work done by external forces on the body must be equal to zero for the body to be in equilibrium. This means that the negative virtual work done by the self-weight force must be balanced by the positive virtual work done by other external forces.
By considering the work done by the self-weight of the body, we can accurately account for the effect of gravity on the equilibrium of the body. This is particularly important in structural analysis, where the self-weight of a structure can significantly influence its behavior and stability.
In summary, when the center of gravity of a body moves vertically, the work done by the self-weight of the body is taken into consideration in the virtual work principle. This is because the self-weight force opposes the vertical displacement of the body and contributes to the overall equilibrium conditions.
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In virtual work Principle, the work done by self weight of the body is taken into consideration, whena)centre of gravity moves verticallyb)centre of gravity moves horizantallyc)shear centre moves horizantallyd)shear centre moves verticallyCorrect answer is option 'A'. Can you explain this answer?
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