Beam Deflection Calculator Simple Overhanging Uniform Load

An overhanging beam rests on two supports positioned inboard of one or both ends, so part of the beam projects beyond a support rather than terminating at it — a common arrangement for a beam supporting a cantilevered balcony, an overhanging roof eave, or any structure where the beam needs to extend past its bearing points. This calculator covers the case of a uniformly distributed load along a beam with a single overhang.

An overhang changes the bending moment pattern significantly compared to a simple span: it introduces negative (hogging) moment over the support nearest the overhang, which can actually reduce the positive moment (and therefore deflection) in the main span compared to the same beam without an overhang — a useful design trick for reducing mid-span deflection where an overhang is otherwise structurally convenient.

This calculator calculates the End Slopes, Support Reactions, Maximum Deflection and Maximum Stress in a simple overhanging beam with a uniform load.

Enter your values as required and press SOLVE, your results will be displayed. If you change any unit types or values please press SOLVE again.

CLEAR ALL clears all fields.

SIMPLY SUPPORTED BEAM - OVERHANGING UNIFORM LOAD

MATERIAL: Aluminium 2024-T4Aluminium 6061-T6Aluminium 7075-T3BrassCast IronCopperLeadMagnesiumPhosphur BronzeStainless Steel, 304Stainless Steel, 316Steel, S235Steel, S275Steel, S355Steel, 4130Steel, ASTM A36Steel, ASTM A441Titanium, Grade 2Titanium, Grade 5

MOMENT OF INERTIA:

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TOTAL LENGTH: (L)

MetresCentimetresMillimetresInches

OVERHANGING LENGTH: (A)

MetresCentimetresMillimetresInches

DISTANCE TO NEUTRAL PLANE: (Z)

MetresCentimetresMillimetresInches

UNIFORM LOAD:

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END SLOPE A: (A°)

DegreesRadians

END SLOPE: (B°)

DegreesRadians

SUPPORT REACTION: (WA)

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SUPPORT REACTION: (WB)

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MAXIMUM DEFLECTION: (y)

MetresCentimetresMillimetresInches

LOAD DEFLECTION: (x)

MetresCentimetresMillimetresInches

MAXIMUM STRESS:

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RELATED PAGES

• Simply Supported, Uniform Load (no overhang)
• Cantilever, Uniform Load

FREQUENTLY ASKED QUESTIONS

Does adding an overhang always increase maximum deflection?

Not necessarily — a modest overhang can actually reduce mid-span deflection compared to the same beam without one, because the overhang's own bending moment partially counteracts the sagging moment in the main span. Too long an overhang, however, will increase deflection at the overhanging tip itself and can eventually increase overall deflection too.

Where is deflection greatest — in the main span or at the overhang tip?

It depends on the overhang length relative to the main span — this calculator works out deflection at both locations so you can check whichever governs for your specific geometry.