Assuming E $=$ Young Modulus $=1$ K$/$in$2$; and $|=$ moment of inertia $=1$ in $^4$For the simply supported beam A$-$C$-$B $($AC $=12"=$ CB$)$ with PIN support at A and ROLLER support at B$,$subjected to a downward concentrated force $24$ Kips at mid$-$point C$,$ and a counter$\_$clockwise moment$48$ K$-$in at ROLLER point B$.$Find the reaction forces at the PIN & ROLLER supports $??($b$)$ Draw the V & M diagrams $??($c$)$ Using the "Conjugate Beam" method, find the rotation angle theta$\_$B at joint B $?$Assuming $E=$ Young Modulus $=1\frac{K}{i}n2$; and $I=$ moment of inertia $=1in4$

For the simply supported beam A$-$C$-$B $)={12}^{\text{'}\text{'}}=(CB$ with PIN support at A and ROLLER support at B$,$ subjected to a downward concentrated force $24$ Kips at mid$-$point C$,$ and a counter$\_$clockwise moment $48$ K $-$in at ROLLER point B $.$

$($a$).$Find the reaction forces at the PIN & ROLLER supports $??$

$($b$)$ Draw the V & M diagrams $??$

$($c$)$ Using the "Conjugate Beam" method, find the rotation angle theta$\_$B at joint B $??({}_8?)$