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 1 of 4.
Kaushal said:
1 decade ago
According to me, Slenderness ratio is kl/b. where k is length factor, l is the length of column and b is the width.
Let us suppose k = 1 (pin jointed both sides).
Slenderness ratio = 1*300/2.5 = 120.
How could answer be 416?
Let us suppose k = 1 (pin jointed both sides).
Slenderness ratio = 1*300/2.5 = 120.
How could answer be 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.
r = (i%a)0.5.
Slender ratio = kl%r.
i = moment of inertia = b*d3%12.
a = cross section area = 2.2*2.5.
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.
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.
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.
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.
Piyush singh said:
1 decade ago
Slenderness Ratio (lemma ) = L(eff) / R(min).
Rmin = under root of ( Imin / area ).
Imin = (b*d^3) / 12.
Area = (b*d).
(b=d).
Imin / Area = b^2 / 12.
Rmin = under root of (b*b / 12).
Rmin = 0.2886 b^ 2.
Slender ness Ratio = (Leff / R min).
= (300 / ( 0.886*2.5).
= 415.96 = 416.
Rmin = under root of ( Imin / area ).
Imin = (b*d^3) / 12.
Area = (b*d).
(b=d).
Imin / Area = b^2 / 12.
Rmin = under root of (b*b / 12).
Rmin = 0.2886 b^ 2.
Slender ness Ratio = (Leff / R min).
= (300 / ( 0.886*2.5).
= 415.96 = 416.
Deepak goel said:
1 decade ago
Its value is wrong because slenderness ratio is l/r means 300/2.5 = 120.
Xyz said:
1 decade ago
In case of Strength of materials, slenderness ratio is eff length/radius of gyration, while in case of RCC it is eff length/least lateral dimension.
Anil Baral said:
1 decade ago
r = sqrt (I/A).
A = 2.5*2.5.
I = 2.5^/4.
There fore, r = 2.5*sqrt (1/12).
r = 300/2.5*sqrt (1/12).
= 415.69 approx=416.
A = 2.5*2.5.
I = 2.5^/4.
There fore, r = 2.5*sqrt (1/12).
r = 300/2.5*sqrt (1/12).
= 415.69 approx=416.
Raj said:
1 decade ago
All you guys are correct and I want add a point.
Slenderness ratio = Effective length/Maximum radius of gyration.
Thanks.
Slenderness ratio = Effective length/Maximum radius of gyration.
Thanks.
Mohammad amir said:
10 years ago
L/r and eff L/k.
k = square root I/a consider both different formula guys.
k = square root I/a consider both different formula guys.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers