# Three Member Frame - Pin/Roller Side Uniformly Distributed Load

### Three Member Frame - Pin/Roller Side Uniformly Distributed Load Formula

\(\large{ R_A = R_D = \frac{w\;h^2}{2\;L} }\)

\(\large{ H_A = w\;h }\)

\(\large{ M_{max} \;(at \; B) = \frac{w\;h^2}{2} }\)

\(\large{ \Delta_{Dx} = \frac{w\;h^3}{24 \; \lambda \; I} \; \left( 6\;L + 5\;h \right) }\)

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

\(\large{ A, B, C, D }\) = 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