Introduction

Figures 1 through 32 provides a series of shear and moment diagrams with accompanying formulas for design of beams under various static loading conditions.

Notations Relative to “Shear and Moment Diagrams

E = modulus of elasticity, psi

I  = moment of inertia, in.4

L = span length of the bending member, ft. R = span length of the bending member, in. M = maximum bending moment, in.-lbs.

P = total concentrated load, lbs.

R = reaction load at bearing point, lbs.

V = shear force, lbs.

W = total uniform load, lbs.

w = load per unit length, lbs./in.

D = deflection or deformation, in.x = horizontal distance from reaction to point on beam, in.

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