# Two Span Continuous Beam - Unequal Spans, Concentrated Load on Each Span Symmetrically Placed

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## Two Span Continuous Beam - Unequal Spans, Concentrated Load on Each Span Symmetrically Placed formulas

\(\large{ R_1 = V_1 = \frac{M_2}{a} + \frac{P_1}{2} }\) | |

\(\large{ R_2 = P_1 + P_2 - R_1 - R_3 }\) | |

\(\large{ R_3 = V_4 = \frac{M_2}{b} + \frac{P_2}{2} }\) | |

\(\large{ M_1 = R_1 \;a }\) | |

\(\large{ M_2 = \frac{3}{16} \; \left( \frac{P_1\; a^2 \;+ \;P_2 \; b^2}{a \;+\; b} \right) }\) | |

\(\large{ M_3 = R_3\; b }\) |

### Where:

\(\large{ I }\) = moment of inertia

\(\large{ L }\) = span length of the bending member

\(\large{ M }\) = maximum bending moment

\(\large{ P }\) = total concentrated load

\(\large{ R }\) = reaction load at bearing point

\(\large{ V }\) = shear force

\(\large{ w }\) = load per unit length

\(\large{ W }\) = total load from a uniform distribution

\(\large{ x }\) = horizontal distance from reaction to point on beam

\(\large{ \lambda }\) (Greek symbol lambda) = modulus of elasticity

\(\large{ \Delta }\) = deflection or deformation