Three Member Frame - Fixed/Free Side Top Point Load

Structural Related Articles

• See beam design formulas
• See frame design formulas
• See plate design formulas
• See geometric properties of structural shapes
• See welding stress and strain connections
• See welding symbols

 

Three Member Frame - Fixed/Free Side Top Point Load formulas

\(\large{ R_A  = 0  }\)
\(\large{ H_A = P  }\)
\(\large{ M_{max}  \left(at \;point\; A\right) = P\;h  }\)
\(\large{ \Delta_{Cx}  = \frac{P\;h^3}{3\; \lambda \; I}  }\)
\(\large{ \Delta_{Cy}  = \frac{P\;L\;h^2}{2\; \lambda \; I}  }\)
\(\large{ \Delta_{Dx}  = \frac{P\;h^3}{2\; \lambda \; I}  }\)
\(\large{ \Delta_{Dy}  = \frac{P\;L\;h^2}{2\; \lambda \; I}  }\)

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

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