(a) An object of $100\text{N}$ weight falls by gravity a vertical dis…

Previous year question for Structural Analysis-I.

Question

(a) An object of $100\text{N}$ weight falls by gravity a vertical distance of $5\text{m}$, when it is suddenly stopped by a collar at the end of a vertical rod of length $10\text{m}$ and diameter $20\text{mm}$. The top of the bar is rigidly fixed. Calculate the maximum stress and strain induced in the bar due to impact. Take $E=200\text{GN}/\text{m}^2$ for the material of the rod.

(b) A bar $100\text{cm}$ in length is subjected to an axial pull, such that the maximum stress is equal to $150\text{MN}/\text{m}^2$. Its area of cross-section is $2\text{cm}^2$ over a length of $95\text{cm}$ and for the middle $5\text{cm}$ length it is only $1\text{cm}^2$. If $E=200\text{GN}/\text{m}^2$ Calculate the strain energy stored in the bar.

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