Consider the stepped bar made with a linear elastic material and subjected to an axial load of 1 kN as shown in the figure.

Segments 1 and 2 have cross sectional area of 100 mm^{2} and 60 mm^{2}, Young’s modulus of 2 × 10^{5} MPa and 3 × 10^{5} MPa and length of 400 mm and 900 mm respectively. The strain energy in N-mm up to one decimal place in the bar due to the axial load is_______

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GATE CE 2017 Official Paper: Shift 1

Free

CT 1: Ratio and Proportion

2846

10 Questions
16 Marks
30 Mins

\(U = \sum \frac{{{P^2}{L_1}}}{{2{A_1}{E_1}}}\)

\(= \frac{{{{\left( {1000} \right)}^2} \times 400}}{{2 \times 100 \times 2 \times {{10}^5}}} + \frac{{{{\left( {1000} \right)}^2} \times 900}}{{2 \times 60 \times 3 \times {{10}^5}}}\) = 10 + 25 = 35 N.mm

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