Three Member Frame - Fixed/Free Free End Vertical Point Load

Written by Jerry Ratzlaff on . Posted in Structural

3fff 2Three Member Frame - Fixed/Free Free End Vertical Point Load Formula

\(\large{ R_A  = P  }\)

\(\large{ H_A = 0  }\)

\(\large{ M_{max}  \left(at \;points\; A\; and \;B\right) = P\;h  }\)

\(\large{ \Delta_{Dx}  = \frac{P\;h\;L}{2\; \lambda \; I} \; \left( L + 2\;h \right)  }\)

\(\large{ \Delta_{Dy}  = \frac{P\;L^2}{3\; \lambda \; I} \; \left( L + 3\;h \right)  }\)

Where:

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

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

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

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

\(\large{ \lambda }\)  (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

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

 

Tags: Equations for Frame Support