Three Member Frame - Pin/Roller Top Uniformly Distributed Load
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Three Member Frame - Pin/Roller Top Uniformly Distributed Load formulas
\(\large{ R_A = R_E = \frac{w\;L}{2} }\) | |
\(\large{ H_A = 0 }\) | |
\(\large{ M_{max} \;(at \; C) = \frac{w\;L^2}{8} }\) | |
\(\large{ \Delta_{Ex} = \frac{w\;h\;L^3}{12 \; \lambda \; I} }\) |
Where:
\(\large{ \Delta }\) = deflection or deformation
\(\large{ h }\) = height of frame
\(\large{ H }\) = horizontal reaction load at bearing point
\(\large{ M }\) = maximum bending moment
\(\large{ w }\) = load per unit length
\(\large{ \lambda }\) (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