Draw the shear and bending-moment diagrams for the beam. C

Step 1 of 3

Draw the free body diagram.

Calculate the moments about A.

\(\sum {{M_A}}  = 0\)

\({B_y}\left( {20} \right) - 200 - \left( {50} \right)\left( {20} \right)\left( {20/2} \right) = 0\)

\({B_y} = 510\;{\rm{lb}}\)

Here, By is the vertical reaction at B.

Consider an equilibrium equation in vertical direction.

\(\sum {{F_y}}  = 0\)

\({B_y} + {A_y} = \left( {50} \right)\left( {20} \right)\)

\(510 + {A_y} = \left( {50} \right)\left( {20} \right)\)

\({A_y} = 490\;{\rm{lb}}\)

Here, Ay is the vertical reaction at A.

Consider an equilibrium equation in horizontal direction.

\(\sum {{F_x}}  = 0\)

\({A_x} = 0\)