To apply virtual work method it is :-a)Compulsory for external and int...
**The Application of Virtual Work Method**
The virtual work method is a powerful technique used in structural analysis to determine the displacements and reactions of a structure subjected to external loads. It is based on the principle of virtual work, which states that the work done by the external forces on a structure is equal to the work done by the internal forces within the structure.
**Equilibrium of External and Internal Forces**
In order to apply the virtual work method, it is indeed compulsory for the external and internal forces to be in equilibrium. This means that the sum of the external forces acting on the structure must be equal to zero, and the sum of the internal forces within the structure must also be equal to zero. This condition ensures that the structure is in a state of static equilibrium.
**Importance of Equilibrium**
The requirement for equilibrium is essential in the virtual work method because it allows us to simplify the analysis and solve for the unknown displacements and reactions. If the external and internal forces are not in equilibrium, it would introduce additional unknowns and complications to the analysis, making it difficult to determine the desired quantities accurately.
**Higher Loads**
The statement in option 'C' that equilibrium is compulsory for external and internal forces in higher loads is incorrect. The requirement for equilibrium holds true regardless of the magnitude of the loads. Whether the loads are high or low, the condition of equilibrium is always necessary for applying the virtual work method.
**Conclusion**
In conclusion, when applying the virtual work method in structural analysis, it is compulsory for the external and internal forces to be in equilibrium. This condition ensures that the structure is in a state of static equilibrium and allows for the accurate determination of displacements and reactions. The requirement for equilibrium holds true regardless of the magnitude of the loads being applied.
To apply virtual work method it is :-a)Compulsory for external and int...
Since we are equating work done, it compulsory for them to be in equilibrium.