(a) A 3 m long bar, circular in section is having uniorm diameler of 20 mm for a length of 1.5 m . In the next 0.5 m , its diameter gradually increases to "d mm and for the remaining 1 m , the diameler " $d$ " remains the same. When a lensile load of 200 kN is applied al the ends of the bar, the extension observed for the bar is 7.26 mm . Delermine the value of diameler ' 0 ', if $\mathrm{E}=200 \mathrm{GPa}$ ?

Explanation

The problem involves a bar with varying cross-sectional area. We use the formula for extension of a bar with varying cross-sectional area to solve for the diameter 'd'.


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