Three Member Frame - Pin/Roller Side Uniformly Distributed Load

Written by Jerry Ratzlaff on . Posted in Structural

3fpr 7Three 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

 

Tags: Equations for Frame Support