Beam Deflection Calculator Simply Supported Twin Point Load

This calculator covers a simply supported beam with two equal point loads placed symmetrically about mid-span — a common arrangement for axle loads, twin-point lifting slings, or any pair of evenly spaced concentrated loads such as two columns bearing down on a transfer beam. Between the two loads, the beam experiences constant (uniform) bending moment with no shear, which is why this loading case is a favourite in bending tests — it creates a region of pure bending, free of the complicating effect of shear, over the central span.

For a single central load instead of two symmetric loads, see our Simple Centre Point Load calculator.

This calculator calculates the End Slopes, Support Reactions, Maximum Deflection and Maximum Stress in a Cantilever beam with a twin point loads.

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 - TWO SYMMETRICAL POINT LOADS

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)

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PARTIAL LENGTH: (A)

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DISTANCE TO NEUTRAL PLANE: (Z)

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POINT LOAD: (P)

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END SLOPE A: (A°)

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END SLOPE: (B°)

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SUPPORT REACTION: (WA)

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SUPPORT REACTION: (WB)

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MAXIMUM DEFLECTION: (y)

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DEFLECTION AT LOAD :(z)

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MAXIMUM STRESS:

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RELATED PAGES

• Simply Supported, Centre Point Load
• Simply Supported, Point Load (any position)

FREQUENTLY ASKED QUESTIONS

Why is this loading case used for bending tests?

The region of the beam between the two loads experiences constant bending moment and zero shear force, giving a "pure bending" test region — useful for measuring a material's bending behaviour without shear effects complicating the result.

What happens if the two loads aren't equal or aren't placed symmetrically?

This calculator assumes equal loads placed symmetrically about the centre. For unequal loads or asymmetric positions, you'd need to treat each load separately using the general point load calculator and superimpose the results.