# Strain Energy - Displacement

1. Jan 10, 2010

Any one can help me solving this plzzzzz

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

Last edited by a moderator: Apr 24, 2017
2. Jan 10, 2010

### tiny-tim

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

3. Jan 10, 2010

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.