(a) State and prove the converse of...
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(a) State and prove the converse of the principle of virtual work for a system of forces.

11th - 12th Class
Maths
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The principle of virtual work has nothing to do with linear elasticity, but it is convenient to start thinking about energy methods by reviewing a principle that you've probably seen before. Let ( { }_{sigma_{q}} ) be a state of stress satisfying ( -t ) Furthermore, let ( _{4} ) be a displacement field on and define ( 6_{0}-frac{1}{2}left(4 x_{4}+4 x_{4}right) ) Then ( 8+frac{1}{2}+44 ) This is known as the Virtual Work equation. Proof: It has been suggested that every result in solid mechanics is obtained by applying the divergence theorem. So, observe that Hence
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