Solving an equation

SaraSa

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Oct 18, 2012
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Any help with the problem below will be much appriciated.
Best regards,
Sara
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The approximate solution that satisfies the boundary conditions is:
1.png
The below equation should be minimized:
2.PNG
So we have this integral:
3.PNG

Initially, for no deflection, for w = 0, the value of λ from the above equation, is found as:
4.PNG
I can not understand, how λ is calculated.
This is the qustion, how λ is calculated?
 
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