Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 1 (Q.No. 23)
23.
The slenderness ratio of a vertical column of a square cross-section of 2.5 cm sides and 300 cm length, is
Discussion:
33 comments Page 4 of 4.
Manikanta nelluri said:
5 years ago
@All.
2.5^4÷12 /2.5 * 2.5 = 3.25 ÷ 6.25 = 0.52 this is the correct value.
So, 0.721 this value is wrong.
2.5^4÷12 /2.5 * 2.5 = 3.25 ÷ 6.25 = 0.52 this is the correct value.
So, 0.721 this value is wrong.
(3)
Amit said:
5 years ago
We Know that Slenderness Ratio is Equal to Length upon Radius of Gyration = L/r.
we have a value of L that is given in question 300.
So, now we need to calculate the value of r that is equal to under root I/A means r= under root I/A.
I Means Moment of Inertia, here for Square Section that is equal to a^4/12 and for A= a^4.
Now, you will get the answer 416.
Thank You.
we have a value of L that is given in question 300.
So, now we need to calculate the value of r that is equal to under root I/A means r= under root I/A.
I Means Moment of Inertia, here for Square Section that is equal to a^4/12 and for A= a^4.
Now, you will get the answer 416.
Thank You.
(2)
Tanmoy Ghosh said:
5 years ago
Slenderness Ratio =Le/K,
K=√(I/A).
So,
Le=300,
K=√(2.5^4/12)/(2.5^2),
K=0.7216,
Le/K=300/0.7216,
Slenderness Ratio=415.69.
K=√(I/A).
So,
Le=300,
K=√(2.5^4/12)/(2.5^2),
K=0.7216,
Le/K=300/0.7216,
Slenderness Ratio=415.69.
(5)
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