Three Member Frame - Fixed/Free Side Top Point Load
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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