Learning Goal:

To use the slope$-$deflection equations to analyze the moments in a frame with sidesway

The slope$-$deflection equations for a frame member are given below, where $N$ signifies the near end, $F$ means the far end, $k=\frac{\text{I}}{L},=\frac{}{L},$ and FEM is the fixed end moment. The first equation applies to internal spans or end spans that are fixed supported. The second applies to end spans that are pin or roller supported.

$M_N=2Ek(2{}_N+{}_F-3)+(FEM{)}_N$

$M_N=3Ek({}_N-)+(FEM{)}_N$

Figure

$2$ of $2$

$2$ of $2$

Part C $-$ Calculate a moment in the beam

What is the moment in the beam at the midpoint of span $AB?$ Treat the left surface of $AB$ as the top.

Express your answer with appropriate units to three significant figures.

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