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Thursday, 14 February 2019 10:25cat

Calculate the location of point load

Written by  TheStructuralEngineer.info

Calculate the distance x for locating point load so that the moment on the beam at point B is zero.

 Solution

∑MA=0 -> (L/2)*2P-F2*(L-x)+P*L=0 -> F2=-(2P)*L/(x-L)      (1)

∑FY=0 -> F1+ F2=2P+P -> F1=P*(3x-L)/(x-L)       (2)

 

∑MB=0 -> (L/2)*F1 - F2*(L-L/2-x)+P*(L-L/2)=0 -> x=L/2

 

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