BEAM FORMULAS WITH SHEAR AND MOMENT DIAGRAMS

Uniformly Distributed Load
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Uniform Load Partially Distributed

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Uniform Load Partially Distributed at One End

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Uniform Load Partially Distributed at Each End

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Load Increasing Uniformly to One End

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Load Increasing Uniformly to Center

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Concentrated Load at Center

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Concentrated Load at Any Point

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Two Equal Concentrated Loads Symmetrically Placed

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Two Equal Concentrated Loads Unsymmetrical Placed

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Two Unequal Concentrated Loads Unsymmetrical Placed

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Uniformly Distributed Load

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Concentrated Load at Free End

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Concentrated Load at Any Point

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Beam Fixed at One End, Supported at Other V Uniformly Distributed Load

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Beam Fixed at One End, Supported at Other V Concentrated Load at Center

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Beam Fixed at One End, Supported at Other V Concentrated Load at Any Point

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Beam Overhanging One Support V Uniformly Distributed Load

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Beam Overhanging One Support V Uniformly Distributed Load on Overhang

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Beam Overhanging One Support V Concentrated Load at End of Overhang

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

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Beam Overhanging Both Supports V Unequal Overhangs V Uniformly Distributed Load

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Beam Fixed at Both Ends V Uniformly Distributed Load

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Beam Fixed at Both Ends V Concentrated Load at Center

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Beam Fixed at Both Ends V Concentrated Load at Any Point

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Continuous Beam V Two Equal Spans V Uniform Load on One Span

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

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Continuous Beam V Two Equal Spans V Concentrated Load at Any Point

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Continuous Beam V Two Equal Spans V Uniformly Distributed Load

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

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Continuous Beam V Two Unequal Spans V Uniformly Distributed Load

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