Civil Engineering - UPSC Civil Service Exam Questions - Discussion
Discussion Forum : UPSC Civil Service Exam Questions - Section 17 (Q.No. 15)
15.
For a circular column having its ends hinged, the slenderness ratio is 160. The l/d ratio of the column is
Discussion:
10 comments Page 1 of 1.
Deepak said:
5 years ago
Correct Answer = A (according to me).
Slenderness ratio = L(eff)/r,
L(eff)=L; since both ends are hinged.
r=radius of gyration.
For hollow cylinder,
mk ^2 = moment of inertia for hollow cylinder,
k =radius of hollow cylinder,
So, for point mass at a distance r(radius of gyration), a moment of inertia = mr^2.
Therefore mk^2 = mr^2.
k = r.
Therefore, l/r=160
l/k=160,
2l/d=160,
l/d=80.
Slenderness ratio = L(eff)/r,
L(eff)=L; since both ends are hinged.
r=radius of gyration.
For hollow cylinder,
mk ^2 = moment of inertia for hollow cylinder,
k =radius of hollow cylinder,
So, for point mass at a distance r(radius of gyration), a moment of inertia = mr^2.
Therefore mk^2 = mr^2.
k = r.
Therefore, l/r=160
l/k=160,
2l/d=160,
l/d=80.
Subhankar said:
7 years ago
l/r' = slenderness ratio = 160.
r' = radius of gyration of circle = (I/A)^.5 ={ (πD^4/64) / (πD^2/4)} =D/4,
l/r' = l/D/4 =160,
L/D = 40.
r' = radius of gyration of circle = (I/A)^.5 ={ (πD^4/64) / (πD^2/4)} =D/4,
l/r' = l/D/4 =160,
L/D = 40.
Nur Alam said:
7 years ago
The Correct answer 40.
If radius R then radius of gyration = R/2.
Now , L ÷ (R/2)=160,
-) L ÷ (D/4)=160,
So, L/D= 40.
If radius R then radius of gyration = R/2.
Now , L ÷ (R/2)=160,
-) L ÷ (D/4)=160,
So, L/D= 40.
Suraj Rajput said:
6 years ago
Slender Ness ratio =kl/r.
r = radius of gyrations = (I/A)^. 5.
r = radius of gyrations = (I/A)^. 5.
Mohammad nishar said:
7 years ago
L/r =160.
I=√d^4 /64.
A=√d^2/4. So l/d =80.
I=√d^4 /64.
A=√d^2/4. So l/d =80.
Proshenjit said:
7 years ago
L/r = 160.
L/d/2= 160 ( r=d/2).
L/d = 80.
L/d/2= 160 ( r=d/2).
L/d = 80.
Pramit Samanta said:
4 years ago
The answer is right 40.
I = A.K^2.
I = A.K^2.
Amith S said:
7 years ago
The correct Answer is 80.
Dolly said:
7 years ago
How? Please explain.
Chauhan said:
5 years ago
Thanks @Subhankar.
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