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Question 7.26: Use the graphical method to construct the shear-force and be...

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams.

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Beam equilibrium: 

\begin{aligned}&\Sigma F_{y}=-10  kips +C_{y}=0 \\&\quad \therefore C_{y}=10  kips \\&\Sigma M_{C}=(10  kips )(10  ft )-60  kip – ft +M_{C}=0 \\&\therefore M_{C}=-40  kip – ft\end{aligned}

Shear-force and bending-moment diagrams: 

7.26'
7.26''

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