Simple beams:
Notations Relative to “Shear and Moment Diagrams”
E = modulus of elasticity I = moment of inertia L = span length of the bending member R = span length of the bending member M = maximum bending moment P = total concentrated load. R = reaction load at bearing point V = shear force W = total uniform load w = load per unit length Δ = deflection or deformation x = horizontal distance from reaction to point on beam 

Simple Beam – Uniformly Distributed Load
Simple Beam – Uniform Load Partially Distributed
Simple Beam – Uniform Load Partially Distributed at One End
Simple Beam – Uniform Load Partially Distributed at Each End
Simple Beam – Load Increasing Uniformly to One End
Simple Beam – Load Increasing Uniformly to Center
Simple Beam – Concentrated Load at Center
Simple Beam – Concentrated Load at Any Point
Simple Beam – Two Equal Concentrated Loads Symmetrically Placed
Simple Beam – Two Equal Concentrated Loads Unsymmetrically Placed
Simple Beam – Two Unequal Concentrated Loads Unsymmetrically Placed