Civil Engineering - Strength of Materials - Discussion

13. 

The maximum stress intensity due to a suddenly applied load is x-times the stress intensity produced by the load of the same magnitude applied gradually. The value of x is

[A]. 1
[B]. 2
[C]. 3
[D].
[E].

Answer: Option B

Explanation:

No answer description available for this question.

Bikash Kabiraj said: (May 18, 2017)  
We know, that suddenly load is 2 times of gradually load.

Rushi said: (Feb 17, 2019)  
Gradually applied load is given as σ = (F/A) where, F is the gradually applied load.

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

Work done is equal to the strain energy stored.

(F δL) / 2 = (σ2 / 2E) AL
so, 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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