State and Prove Converse of Principle of virtual work.
Answers
According to this theorem, if a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. Assume DE is not parallel to BC. Now, draw a line DE' parallel to BC.
Answer:
According to this theorem, if a line divides any two sides of a triangle in the exact ratio, then the line exists parallel to the third side.
Step-by-step explanation:
According to this theorem, if a line divides any two sides of a triangle in the exact ratio, then the line exists parallel to the third side. Virtual work stands for the work done by a real force operating through a virtual displacement or a virtual force acting through a real displacement.
A virtual displacement exists as any displacement consistent with the constraints of the structure, i.e., that fulfill the boundary conditions at the supports. A virtual force exists in any system of forces in equilibrium. The principle of virtual work conditions, for bodies in equilibrium, for a small arbitrary displacement, the total work accomplished by the system is zero.
In this approach, the system exists displaced through a small amount about a reference point, and the work done by all the forces about the reference point stands summed to zero to find the unknown reactions if any. Therefore The direction of virtual work expresses that, for a body to be in equilibrium, the virtual work should be zero.
#SPJ2