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:

The below equation should be minimized:

So we have this integral:

Initially, for no deflection, for w = 0, the value of λ from the above equation, is found as:

I can not understand, how λ is calculated.
This is the qustion, how λ is calculated?
Best regards,
Sara
*********************************************
The approximate solution that satisfies the boundary conditions is:

The below equation should be minimized:

So we have this integral:

Initially, for no deflection, for w = 0, the value of λ from the above equation, is found as:

I can not understand, how λ is calculated.
This is the qustion, how λ is calculated?