How to Calculate Strain Energy for a Beam?

AI Thread Summary
The discussion focuses on calculating strain energy for a beam, with the user detailing their attempts at deriving values for different segments of the beam. They report that at points A-B, there is no load, resulting in zero for both dM/dP and dU/dP. For segments B-C and C-D, they provide equations for moment (M) and changes in moment and strain energy, ultimately calculating a total strain energy of -1777.78. They express concern over obtaining a deflection value of 1.78m for a 260mm long beam, indicating a potential error in their calculations. The user seeks assistance to resolve their issues and complete the calculations accurately.
pradi4u
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Any one can help me solving this pleasezzzz

2vkm2r8.jpg

http://i49.tinypic.com/2vkm2r8.jpg"

My attempt
At A-B
There is No load so dM/dP= 0 and dU/dP= 0

At B-C

M = -px - wx.x/2
dM/dP= -x
dU/dP = Wx^4/8EI

At C-D

M = -Wb + Px
dM/dP = x
dM/dP = -Wbx^2/ 2EI

When i include all vaues to compute total starin energy, (AB+BC+CD)
it shows a value of 0+ 444.44-2222.22 = -1777.78

Strain energy = 1/2 x(load.)x (deflection)
= 1/2 x 2000 x deflection.

When i equate both valuse, i get deflection value of 1.78m which looks like very big value for a beam of 260mm long
 
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Hi pradi4u! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
tiny-tim said:
Hi pradi4u! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:

HI,
Thanks for the reply. Here is where i am stuck
At A-B
There is No load so dM/dP= 0 and dU/dP= 0

At B-C

M = -px - wx.x/2
dM/dP= -x
dU/dP = Wx^4/8EI

At C-D

M = -Wb + Px
dM/dP = x
dM/dP = -Wbx^2/ 2EI

When i include all vaues to compute total starin energy, (AB+BC+CD)
it shows a value of 0+ 444.44-2222.22 = -1777.78

Strain energy = 1/2 x(load.)x (deflection)
= 1/2 x 2000 x deflection.

When i equate both valuse, i get deflection value of 1.78m which looks like very big value for a beam of 260mm long

Kindly help me to complete it.
Your help is highly appreciated
 
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