Question
Download Solution PDFThe strain energy of a structure due to bending is given by
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcepts:
The strain energy is the energy stored in a body due to its elastic deformation.
The most general formula for strain energy is:
\(U = {\frac{1}{2}} \times F \times \delta \)
Where, F is the applied force and δ is deformation
However, When stress
\(U = {\frac{1}{2}} \times V \times \sigma \times \epsilon\); V is the volume of material.
Based on the above formals, the strain energy stored in the material due to different types of forces/moments is given as:
1. Strain energy due to bending is:
\(U = \int\frac{M^{2}}{2EI}dx\)
2. Strain energy due to Torsion is :
\(U = \int\frac{T^2L}{2GJ}dx\)
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