Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 3 (Q.No. 13)
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
1
2
3
Discussion:
2 comments Page 1 of 1.
Rushi said:
6 years ago
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.
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.
Bikash kabiraj said:
8 years ago
We know, that suddenly load is 2 times of gradually load.
(1)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers