GATE ME 2019 Set 1 — Question 51
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Question
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 m/N. The strain at failure in the sample is ________ %.
Correct answer
12 to 14
Solution
Given:
Original length of sample, mm = 0.1 m
Failure load, kN = N
Total displacement (cross-head motion), mm = m
Compliance of UTM, m/NThe total displacement measured by the cross-head is the sum of the displacement of the sample and the displacement of the machine itself due to its compliance.
Displacement of the machine:
mmDisplacement of the sample:
mmStrain at failure in the sample:
In percentage:
The strain at failure in the sample is 13%.
Original length of sample, mm = 0.1 m
Failure load, kN = N
Total displacement (cross-head motion), mm = m
Compliance of UTM, m/NThe total displacement measured by the cross-head is the sum of the displacement of the sample and the displacement of the machine itself due to its compliance.
Displacement of the machine:
mmDisplacement of the sample:
mmStrain at failure in the sample:
In percentage:
The strain at failure in the sample is 13%.
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