Numerical - Proof resilience, given area & gradual load

Q.  What is the proof resilience of a square bar of 2500 mm2  and 200 mm long, when a load of 150 kN is induced gradually?
(Take E = 150 x 103 Mpa)
- Published on 21 Sep 15

a. 45 J
b. 8 J
c. 5.3 J
d. 6 J

ANSWER: 6 J

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    Discussion

  • Zubair    -Posted on 10 Apr 23
    Oh! That's really given in clear form..
    My concept regarding to proof resilience is clear now.
    Thanks
  • Sravanthi   -Posted on 24 Nov 15
    Proof resilience: It is the maximum strain energy which is stored within elastic limit. It is also called as strain energy.

    Given: Area of square bar = 2500 mm2 , gradual load applied = 150 kN, length of bar 200 mm, E = 150 x 103 Mpa

    Formula: Proof resilience = (σ2 / 2E) x volume = (σ2 / 2E) x AL

    Solution:

    1) Stress = Applied load / Area = 150 x 103 / 2500 = 60 N/mm2

    2) Proof resilience = (σ2 / 2E) x AL

    Substituting the given values, we get

    = (602 / 2 x 150 x 103) x (2500 x 200)

    = 6000 N-mm

    = 6 Joule

    Proof resilience of a square bar is 6 Joule.

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