Civil Engineering - RCC Structures Design - Discussion
Discussion Forum : RCC Structures Design - Section 1 (Q.No. 43)
43.
If the effective length of a 32 cm diameter R.C.C. column is 4.40 m, its slenderness ratio, is
Discussion:
13 comments Page 2 of 2.
JEETENDRA said:
1 decade ago
Slenderness ratio = L\K.
K= ROOT I\A.
I= 3.14*D*D*D*D\64.
A= 3.14*D*D\4.
K= ROOT I\A.
I= 3.14*D*D*D*D\64.
A= 3.14*D*D\4.
Mahesh katkar said:
1 decade ago
Slenderness ratio = L\K.
k = ROOT (I min.\A).
I = 3.14*0.32^4/64 = 0.0005147 m4.
A = 3.14*0.32^2\4 = 0.080.
ROOT I/A = 0.0802.
K = 4.4/.0802 = 54.86 say 55.
k = ROOT (I min.\A).
I = 3.14*0.32^4/64 = 0.0005147 m4.
A = 3.14*0.32^2\4 = 0.080.
ROOT I/A = 0.0802.
K = 4.4/.0802 = 54.86 say 55.
Asay said:
8 years ago
Slenderness Ratio=l/r(min) -------------(1)
Here ,
l=4.4m=440cm
And ,
r(min)=[I/A]^1/2 --------------(2)
Here ,
I=pi*d^4/64
=3.24*(32)^4/64
=51445.76cm^4
Now,
A=pi*d^2/4
=3.14*(32)^2/4
=803.84cm^2
Now putting values in eqn (2)
r(min)=[51445.76cm^4/803.84cm^2]^2
=8cm
Now, putting all the values in eqn (1)
Slenderness Ratio=440cm/8cm
=55.
So,
(D) is Correct Ans.
Here ,
l=4.4m=440cm
And ,
r(min)=[I/A]^1/2 --------------(2)
Here ,
I=pi*d^4/64
=3.24*(32)^4/64
=51445.76cm^4
Now,
A=pi*d^2/4
=3.14*(32)^2/4
=803.84cm^2
Now putting values in eqn (2)
r(min)=[51445.76cm^4/803.84cm^2]^2
=8cm
Now, putting all the values in eqn (1)
Slenderness Ratio=440cm/8cm
=55.
So,
(D) is Correct Ans.
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