Three Member Frame - Fixed/Fixed Center Point Load
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Three Member Frame - Fixed/Fixed Center Point Load formulas
| \(\large{ e = \frac{h}{L} }\) | |
| \(\large{ \beta = \frac{I_h}{I_v} }\) | |
| \(\large{ R_A = R_E = \frac{ P }{ 2 } }\) | |
| \(\large{ H_A = H_E = \frac{3\;P\;L}{8\;h\; \left( \beta\;e\;+\;2 \right) } }\) | |
| \(\large{ M_A = M_E = \frac{P\;L}{8\; \left( \beta\;e\;+\;2 \right) } }\) | |
| \(\large{ M_B = M_D = \frac{P\;L}{4\; \left( \beta\;e\;+\;2 \right) } }\) | |
| \(\large{ M_C = \frac{P\;L}{4} \; \left( \frac{ \beta\;e\;+\;1 }{ \beta\;e\;+\;2 } \right) }\) |
Where:
\(\large{ h }\) = height of frame
\(\large{ H }\) = horizontal reaction load at bearing point
\(\large{ M }\) = maximum bending moment
\(\large{ A, B, C, D, E }\) = points of intersection on frame
\(\large{ R }\) = reaction load at bearing point
\(\large{ I }\) = second moment of area (moment of inertia)
\(\large{ I_h }\) = horizontal second moment of area (moment of inertia)
\(\large{ I_v }\) = vertical second moment of area (moment of inertia)
\(\large{ L }\) = span length of the bending member
\(\large{ P }\) = total concentrated load