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 2 of 4.
Anubhav Srivastav said:
9 years ago
Slenderness ratio = le/r(min).
le = 300 ,r(min) = (I/A)^1/2
Ixx = a^4/12= 25^4/12 = 32552 cm^4,
A = 25^2= 625 cm^2.
Rmin = (32552 cm^4/ 625 cm^2)1/2 = 7.21 cm.
Slenderness ratio = 300/7.21= 41.6cm = 416mm.
le = 300 ,r(min) = (I/A)^1/2
Ixx = a^4/12= 25^4/12 = 32552 cm^4,
A = 25^2= 625 cm^2.
Rmin = (32552 cm^4/ 625 cm^2)1/2 = 7.21 cm.
Slenderness ratio = 300/7.21= 41.6cm = 416mm.
Raj said:
8 years ago
Can anyone answer?
Slender ness ratio of 5m long column effectively held in position at both ends, but not restrained against rotation and having a circular cross section of the diameter of 5 cm is?
Slender ness ratio of 5m long column effectively held in position at both ends, but not restrained against rotation and having a circular cross section of the diameter of 5 cm is?
Ferdieb said:
9 years ago
Slenderness ratio = L/sq.root of (Ix/A).
Ix of cross section of column = BD^3/12 ie. 3.25cm^4.
Area of cross section of column = BD ie. 6.25 cm2.
Thus, 300/sq.root of (3.25/6.25) = 416.025.
Ix of cross section of column = BD^3/12 ie. 3.25cm^4.
Area of cross section of column = BD ie. 6.25 cm2.
Thus, 300/sq.root of (3.25/6.25) = 416.025.
Someshwar said:
7 years ago
S.R =eff. length/radius of gyration.
=l/k.
K= √ Imin/A.
Imin=bd^3/12=2.5*2.5^3/12=3.25.
A=2.5*2.5=6.25,
=√3.25/6.25 =0.721.
S.R=300/0.721 =416.08.
=l/k.
K= √ Imin/A.
Imin=bd^3/12=2.5*2.5^3/12=3.25.
A=2.5*2.5=6.25,
=√3.25/6.25 =0.721.
S.R=300/0.721 =416.08.
Kishan said:
9 years ago
Slenderness ratio = left/rmin.
Rmin=I/A for square section a/2*√3=2.5/2√3 = 0.72 leff = 300cm then slenderness is;
= 300/0.72= 416.67ans.
Rmin=I/A for square section a/2*√3=2.5/2√3 = 0.72 leff = 300cm then slenderness is;
= 300/0.72= 416.67ans.
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.
Ritz said:
7 years ago
Slend. ratio = L(eff)/r(min).
r(min) = ( I(min) / A )^0.5 = 2.5 / 2(3)^0.5
Therefore, S.R = 300 * 2(3)^0.5 / 2.5 = 415.2 closest to 416.
r(min) = ( I(min) / A )^0.5 = 2.5 / 2(3)^0.5
Therefore, S.R = 300 * 2(3)^0.5 / 2.5 = 415.2 closest to 416.
(1)
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)
Susanta sarkar said:
5 years ago
Slenderness ratio=L/k =300/.72=416.
K= √(I/A).
I=bd^3/12 b=d.
I=d^4/12=(2.5) ^4/12/(2.5x2.5) =.52.
K=√.52/6.25=.72.
K= √(I/A).
I=bd^3/12 b=d.
I=d^4/12=(2.5) ^4/12/(2.5x2.5) =.52.
K=√.52/6.25=.72.
(1)
Kumud Chaudhary said:
6 years ago
I = A * r.
2.5^4/12=2.5 * 2.5 * r.
r = 0.72168.
Now slenderness ratio= l/r.
= 300/0.72168.
= 415.74.
So answer is correct.
2.5^4/12=2.5 * 2.5 * r.
r = 0.72168.
Now slenderness ratio= l/r.
= 300/0.72168.
= 415.74.
So answer is correct.
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