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
200
240
360
416
500
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
33 comments Page 4 of 4.

Pawan kumar said:   1 decade ago
You are right @Pradhyumna.

Slenderness ratio = l/k = 300/0.7217= 415.692=416.

K = radius of gyration = root under(I/A) = under root 0.52.

I/A = (moment of inertia/area) = 2.5*2.5*2.5*2.5/12)/(2.5*2.5)=0.52.

Pradhyumna said:   1 decade ago
Dear @Kaushal, clear the definition first.
Slenderness ratio = Unsupported length of column/minimum radius of gyration of cross-section.

Hence, SR = 300/rad. of gyration.

= 300/ sq.root of ((2.5^4/(12*2.5^2))).

= 415.692.

= 416.

Raju said:   1 decade ago
kl = 300.

r = (i%a)0.5.

Slender ratio = kl%r.

i = moment of inertia = b*d3%12.

a = cross section area = 2.2*2.5.


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