Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 5 (Q.No. 11)
11.
If the depth of a simply supported beam carrying an isolated load at its centre, is doubled, the deflection of the beam at the centre will be changed by a factor of
Discussion:
10 comments Page 1 of 1.
Niraj Adhikari said:
6 years ago
No @Shweta.
You can't assume L=2L.
And you are correct @Ravana.
d= wl^3/48EI
I= bd^3/12.
Assume x= wl^3/48E ( constant).
d= X*12/bd^3.
d=2d ( given).
Hence deflection is inversely proportional to the cube of depth.
Deflection decreases with increase in depth with respect to previous.
You can't assume L=2L.
And you are correct @Ravana.
d= wl^3/48EI
I= bd^3/12.
Assume x= wl^3/48E ( constant).
d= X*12/bd^3.
d=2d ( given).
Hence deflection is inversely proportional to the cube of depth.
Deflection decreases with increase in depth with respect to previous.
(1)
Shweta puri said:
9 years ago
Deflection at the center of S. S is WL^3/48Ei if depth is double it mean L = 2L then the formula become W (2L) ^3/48EI. The divided first term which is WL^3/48EI to W (2L) ^3/48EI. It becomes 1/8.
Ashish said:
7 years ago
No, @Shweta Puri.
Your concept is right @Pv Ramana.
Deflection is inversely proportional to MOMENT OF INERTIA i.e. also inversely proportional to the depth.
Your concept is right @Pv Ramana.
Deflection is inversely proportional to MOMENT OF INERTIA i.e. also inversely proportional to the depth.
Pv ramana said:
9 years ago
Substitute I = b (2d) ^3/12 you will get 1/8th of S. S deflection at center.
Aamir said:
9 years ago
Deflection is inversely proportional to the cube of depth.
Shiva said:
8 years ago
For cantilever it is 8.
For simply supported it is 1/8.
For simply supported it is 1/8.
(1)
Gourav saha said:
6 years ago
Thanks for giving a proper method @Shweta Puri.
Reshu agrawal said:
9 years ago
Can anyone give the solution of this question?
Rajesh Yadav said:
6 years ago
You are right, Thanks @Pv Ramana.
Gandhari pradhan said:
5 years ago
Thanks all for explaining.
(1)
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