Mechanical Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 8 (Q.No. 7)
7.
The strain energy stored in a body, when suddenly loaded, is __________ the strain energy stored when same load is applied gradually.
equal to
one-half
twice
four times
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
21 comments Page 1 of 3.

Salah said:   3 years ago
It depends on the elongation too. For the same deltaL, U2 is twice U1.

AMIT Singh said:   4 years ago
U = (stress square*Volume)/2.
For sudden loading Stress = 2W /A so put the value and you find U2= 4 times of U1.

RAJAT PATEL said:   5 years ago
Answer is D
U=1/2 * P * delta
Delta= P * V/E
So U= P * δ/2E
Put the value of p for gradually applied.
And The value of 2p for suddenly applied load.
So the answer is 4 times.

Raj said:   5 years ago
The answer Should be D.

Jyoti yadav said:   5 years ago
Stress is 2 times.

But strain is 4 times.
(2)

Raju said:   6 years ago
We know U=strain energy, U= Pdl.
Take, Us = strain energy stored suddenly and Ug= strain energy stored gradually.

Us = Pdl, Ug=1/2Pdl.
Asked, Us=_____Ug?

Answer. Pdl = 1/2Pdl.
Therefore Us = 1/2 Ug.

Rajkotha said:   6 years ago
Stress it is two times.

Strain it is four times.

Gelot said:   6 years ago
Yes, you are right, Thanks @Cpv.

Hirak said:   6 years ago
Strain energy for the suddenly applied load is 4 times the gradually applied load. And stress energy due to suddenly applied load is twice the gradually applied load.

Karthik raja said:   7 years ago
The correct answer is two times.


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