__Simple beams:__

__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