Example $1-4$

A plane frame with an overhang is supported at points A and $D($Fig$.1-16).($This is the beam of Example $1-2$ to which column $BD$ has been added.$)$ A linearly varying distributed load of peak intensity $q_0=160\frac{N}{m}$ acts on span $AB.$ Concentrated moment $M_0=380N*m$ is applied at $A,$ and an inclined concentrated load $P=200N$ acts at $C.$ Force $P$ also acts at mid$-$height of column $BD.$ The lengths of segments $AB$ and $BD$ are $L=4m,$ and the length of the overhang $BC$ is $2m.$

Find support reactions at A and $D$ and then calculate the axial force $N,$ shear force $V,$ and bending moment $M$ at the top of column $BD.$

FIGURE $1-16$

Plane frame with an overhang and uniform and concentrated loads