Stress on sudden load & gradually applied load

Q.  Stress on an object due to sudden load is _________ the stress induced when the load is applied gradually.
- Published on 21 Sep 15

a. equal to
b. half
c. twice
d. thrice

ANSWER: twice

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    Discussion

  • Rakesh mehta   -Posted on 05 Nov 22
    assignment
  • Sravanthi   -Posted on 24 Nov 15
    - Gradually applied load is given as σ = (F/A) ------ (F is the gradually applied load)

    here, work done is given as (F δL) / 2 and strain energy stored = (σ2 / 2E) AL

    Work done is equal to the strain energy stored.

    (F δL) / 2 = (σ2 / 2E) AL

    Therefore, σ = (F/A) ----------- (1)


    - Suddenly applied load is given as σ = (2F/A), here work done = (F δL)

    (F δL) = (σ2 / 2E) AL

    Therefore, σ = (2F/A) ------------- (2)

    From (1) and (2), it can be concluded that

    Hence, suddenly applied load is twice the gradually applied load.

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