BEAM FORMULAS WITH SHEAR AND MOMENT DIAGRAMS

Uniformly Distributed Load

Uniform Load Partially Distributed

Uniform Load Partially Distributed at One End

Uniform Load Partially Distributed at Each End

Load Increasing Uniformly to One End

Load Increasing Uniformly to Center

Concentrated Load at Center

Concentrated Load at Any Point

Two Equal Concentrated Loads Symmetrically Placed

Two Equal Concentrated Loads Unsymmetrical Placed

Two Unequal Concentrated Loads Unsymmetrical

Placed

Uniformly Distributed Load

Concentrated Load at Free End

Concentrated Load at Any Point

Beam Fixed at One End, Supported at Other –

Uniformly Distributed Load

Beam Fixed at One End, Supported at Other –

Concentrated Load at Center

Beam Fixed at One End, Supported at Other –

Concentrated Load at Any Point

Beam Overhanging One Support – Uniformly

Distributed Load

Beam Overhanging One Support – Uniformly

Distributed Load on Overhang

Beam Overhanging One Support – Concentrated Load

at End of Overhang

Beam Overhanging One Support – Concentrated Load at Any Point Between Supports

Beam Overhanging Both Supports – Unequal Overhangs – Uniformly Distributed Load

Beam Fixed at Both Ends – Uniformly Distributed Load

Beam Fixed at Both Ends – Concentrated Load at

Center

Beam Fixed at Both Ends – Concentrated Load at Any

Point

Continuous Beam – Two Equal Spans – Uniform Load

on One Span

Continuous Beam – Two Equal Spans – Concentrated Load at Center of One Span

Continuous Beam – Two Equal Spans – Concentrated

Load at Any Point

Continuous Beam – Two Equal Spans – Uniformly

Distributed Load

Continuous Beam – Two Equal Spans – Two Equal Concentrated Loads Symmetrically Placed

Continuous Beam – Two Unequal Spans – Uniformly

Distributed Load

Continuous Beam – Two Unequal Spans – Concentrated Load on Each Span Symmetrically Placed