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

Written by Jerry Ratzlaff on . Posted in Structural

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

$$\large{ R_1 = V_1 = \frac{M_2}{a} + \frac{P_1}{2} }$$

$$\large{ R_2 = P_1 + P_2 - R_1 - R_3 }$$

$$\large{ R_3 = V_4 = \frac{M_2}{b} + \frac{P_2}{2} }$$

$$\large{ M_1 = R_1 a }$$

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

$$\large{ M_3 = R_3 b }$$

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