GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

Question : 36 of 65

Marks: +1, -0

In a UTM experiment, a sample of length

100 {mm}

, was loaded in tension until failure. The failure load was

40 {kN}

. The displacement, measured using the cross-head motion, at failure, was 15

{mm}

. The compliance of the UTM is constant and is given by

5 × 10^{-8} {m} {/} {N}

. The strain at failure in the sample is______________%

Solution:

UTM constant

=\;{δ_{\;\text "faitare "\;}}/{F}=5 × 10^{-8}

Strain at failure

=\;{δ_{\;\text "failure "\;}}/{L}=\;{U T M \;\text " Cons "\; × F}/{100}

Strain at failure

=\;{5 × 10^{-8} × 40 × 10^{3}}/{{100}/{1000}}=2 \%

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