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Thursday, 01 March 2018 17:29cat

Calculation Example – Maximum Deflection Featured

Written by  TheStructuralEngineer.info

Determine the equation of the elastic curve for the beam using the x coordinate. Specify maximum deflection. EI is constant.

Solution

Free body diagram:

    Screen Shot 03-01-18 at 05.17 PM

 

 Elastic curve:

                  example formula 1

                     example formula 2

 exmple formula 3

 Also u=0 at x=0.

 

cal for 2

  

Slope: Substitute the value of C1 into (1)

calc 888

 Elastic Curve: Substitute the value of C1 and C2 into (2)

calc 225

    

Deflection max at x=L/2

cal 896

 

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