** Solution**

**∑M**_{A}**=0 -> ****(L/2)*2P-F _{2}*(L-x)+P*L=0 -> **

**F**

_{2}=-(2P)*L/(x-L) (1)**∑F**_{Y}**=0 -> ****F _{1}+ F_{2}=2P+P ->**

**F**

_{1}=P*(3x-L)/(x-L) (2)** **

**∑M**_{B}**=0 -> ****(L/2)*F _{1 }- F_{2}*(L-L/2-x)+P*(L-L/2)=0 -> **

**x=L/2**

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**

**∑M**_{A}**=0 -> ****(L/2)*2P-F _{2}*(L-x)+P*L=0 -> **

**∑F**_{Y}**=0 -> ****F _{1}+ F_{2}=2P+P ->**

** **

**∑M**_{B}**=0 -> ****(L/2)*F _{1 }- F_{2}*(L-L/2-x)+P*(L-L/2)=0 -> **

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