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Beam Design Formulas

Written by Jerry Ratzlaff on 18 April 2018. Posted in Structural Engineering

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Simple Supported Beam

Uniformly Distributed Load Load Increasing Uniformly to One End Load Increasing Uniformly to Center Uniform Load Partially Distributed at One End

Uniform Load Partially Distributed at Any Point Uniform Load Partially Distributed at Each End Concentrated Load at Center Concentrated Load at Any Point

Two Point Loads Equally Spaced Two Equal Point Loads Unequally Spaced Two Unequal Point Loads Unequally Spaced Uniformly Distributed Load and Variable End Moments

Central Point Load and Variable End Moments

Beam Fixed at One End

Uniformaly Distributed Load Concentrated Load at CenterConcentrated Load at Any Point

Beam Fixed at Both Ends

Uniformaly Distributed Load Concentrated Load at Center Concentrated Load at Any Point

Cantilever Beam

Uniformaly Distributed Load Load Increasing Uniformly to One End Uniformly Distributed Load and Variable End Moments Concentrated Load at Any Point

Concentrated Load at Free EndLoad at Free End Deflection Vertically with No Rotation

Overhanging Beam

Uniformly Distributed Load Uniformly Distributed Load on Overhang Uniformly Distributed Load Over Supported Span Uniformly Distributed Load Overhanging Both Supports

Point Load on Beam EndPoint Load Between Supports at Any Point

Two Span Continuous Beam

Equal Spans, Uniformly Distributed Load Equal Spans, Uniform Load on One Span Unequal Spans, Uniformly Distributed Load Equal Spans, Concentrated Load at Center of One Span

Equal Spans, Two Equal Concentrated Loads Symmetrically Placed Equal Spans, Concentrated Load at Any PointUnequal Spans, Concentrated Load on Each Span Symmetrically Placed

Three Span Continuous Beam

Equal Spans, Uniformly Distributed Load Equal Spans, Uniform Load on Two Spans to One SideEqual Spans, Uniform Load on Two Spans at Each End

Four Span Continuous Beam

Equal Spans, Uniformly Distributed Load Equal Spans, Uniform Load on Three SpansEqual Spans, Uniform Load on Two Spans

Tags: Equations for Pipe Sizing Equations for Beam Support Equations for Pipe Support Equations for Surveying

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