Practice Question: Fixed-End Moment for a Point Load

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Solution

Fixed end moment at right support:

\[FEM_R = \frac{P \times a^2 \times b}{L^2}\]Where:
\(w \text{ is the load}\)
\(a \text{ is the distance from the left fixed support to the load}\)
\(b \text{ is the distance from the right fixed support to the load}\)
\(L \text{ is the total length of the beam}\)

\[FEM_R = \frac{15 \ kip \times (8 \ ft)^2 \times 4 \ ft}{(12 \ ft)^2}\]\[FEM_R \approx 26.7 \ kip-ft\]

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