Mechanical Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 8 (Q.No. 2)
2.
According to Euler's column theory, the crippling load of a column is given by p = π2 EI/Cl2. In the Euler's formula, the value of C for a column with one end fixed and the other end hinged, is 1/2.
True
False
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
6 comments Page 1 of 1.

Nithish said:   7 years ago
The Formula for crushing load p=π^2EI/L^2.

He given that beam with one end is fixed and the other end is hinged then we consider L=L/√2 sub this in above formula you can get c=1/2.
(1)

Ranajay said:   8 years ago
Pai^2EI/(l/root 2)^2 = pai^2EI/cl^2,
Cl^2= l^2/2,
2c=1,
C=1/2,
So the answer is right.
(1)

Neeraj said:   9 years ago
Agree @Yogender.

Yogender said:   9 years ago
The valve of C should be 1/root 2. We can not relate square of L with C, these both are separate.

Naveen said:   1 decade ago
Value of C = The number multiplied with l2 but not the equivalent length. Equivalent length in this case is l/Root over 2. That means L2= (l/1.414) to the power of 2. That means l2/2.

Now the multiplication number for l2 is 1/2. Hence Answer is 1/2 correct.
(1)

SHASHI said:   1 decade ago
Answer : False - L/1.414

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