Determine the reactions and draw the shear and bending moment diagrams for the structure...

Write the expression to determine the degrees of indeterminacy.

Here, are the degrees of indeterminacy, is the number of reactions, and is the number of members.

Substitute 4 for R and 3 for m.

The primary beam can be obtained by removing the horizontal reaction at support B from the given indeterminate beam.

Draw the free body diagram of the primary beam subjected to external loading.

Write the expression to determine the deflection at B.

Here, is the deflection at B due to external loading.

Draw the free body diagram of the primary beam subjected to unit value of the redundant .

Write the expression to determine the deflection at D due to the unit load.

Here, is the deflection at B due to unit value of the redundant.

Write the compatibility equation to determine the horizontal reaction at D.

Substitute for and for .

Write the expression to determine the reactions of the frame.

Consider the horizontal equilibrium of the frame.

Consider the moments about A.

Consider the vertical equilibrium of the frame.

Draw the shear and bending moment diagrams.