Three Member Frame - Pin/Roller Center Point Load

Written by Jerry Ratzlaff on . Posted in Structural

3fpr 1Three Member Frame - Pin/Roller Center Point Load Formula

\(\large{ R_A = R_E  =  \frac{ P }{ 2 }   }\)

\(\large{ H_A =  0   }\)

\(\large{ M_{max} \;(at \; C)  =  \frac{ PL }{ 4 }   }\)

\(\large{ \Delta_{Ex}  =  \frac{P\;h\;L^2}{8\; \lambda \;I}  }\)

Where:

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

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

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

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

\(\large{ \lambda }\)  (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

\(\large{ P }\) = total concentrated load

 

Tags: Equations for Frame Support