# 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 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