Three Member Frame - Pin/Roller Central Bending Moment
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Three Member Frame - Pin/Roller Central Bending Moment formulas
\(\large{ R_A = R_B = \frac{M_C}{L} }\) | |
\(\large{ H_A = 0 }\) | |
\(\large{ M_{max} \;(at \; C) = \frac{M_C}{2} }\) | |
\(\large{ \theta \;(at \; C) = \frac{M_C\;L}{12 \; \lambda \; I} }\) |
Where:
\(\large{ H }\) = 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)
\(\large{ \theta }\) = slope of member
\(\large{ L }\) = span length of the bending member