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Rigid AD beam is originally horizontal and supported by a pin at B and two rods at A and D $.$ The first rod $($AE$)$ has a cross$-$sectional area of $A_1=40m{m}^2$ and modulus of elasticity of $E_1=200$GPa. The second rod $($DF$)$ has a cross$-$sectional area of $A_2=50m{m}^2$ and modulus of elasticity $E_2=150$GPa. If a load of $P=10kN$ is applied to the system, find forces in the rods $($BE and DF