Three Member Frame - Pin/Roller Top Uniformly Distributed Load

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Three Member Frame - Pin/Roller Top Uniformly Distributed Load formulas

\(\large{ R_A = R_E  = \frac{w\;L}{2}  }\)
\(\large{ H_A = 0  }\)
\(\large{ M_{max} \;(at \; C)  =  \frac{w\;L^2}{8}   }\)
\(\large{ \Delta_{Ex} =  \frac{w\;h\;L^3}{12 \; \lambda \; I}  }\)

Where:

\(\large{ \Delta }\) = deflection or deformation

\(\large{ h }\) = height of frame

\(\large{ H }\) =  horizontal reaction load at bearing point

\(\large{ M }\) = maximum bending moment

\(\large{ w }\) = load per unit length

\(\large{ \lambda }\)  (Greek symbol lambda) = modulus of elasticity

\(\large{ A, B, C, D, E }\) = points of intersection on frame

\(\large{ R }\) = reaction load at bearing point

\(\large{ I }\) = second moment of area (moment of inertia)

\(\large{ L }\) = span length of the bending member