Beam Deflection Calculator Simply Supported Point Load

This calculator covers a simply supported beam — resting on two supports, free to rotate at each — with a single point load applied at any position along its span, rather than only at the centre. This is the more general case, useful wherever a load doesn't sit exactly at mid-span: an off-centre column load, a concentrated load from equipment positioned asymmetrically, or any similar arrangement.

Because the load isn't necessarily central, the two support reactions won't generally be equal — the support nearer the load carries a greater share. Maximum deflection also doesn't occur exactly under the load unless the load happens to sit at mid-span.

If your load genuinely sits at the centre, our Simple Centre Point Load calculator handles that special case directly.

This calculator calculates the End Slopes, Support Reactions, Maximum Deflection and Maximum Stress in a simply supported beam with a point 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 - POINT LOAD AT ANY POSITION

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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MAXIMUM DEFLECTION LENGTH :(B)

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MAXIMUM STRESS:

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RELATED PAGES

• Simply Supported, Centre Point Load
• Simply Supported, Twin Point Load

FREQUENTLY ASKED QUESTIONS

How are the support reactions split for an off-centre load?

In inverse proportion to each support's distance from the load — the support closer to the load carries the larger share, following simple statics (taking moments about each support in turn).

Does maximum deflection occur directly under the load?

Not unless the load is at mid-span — for an off-centre point load, maximum deflection occurs slightly toward the longer side of the span from the load position, which this calculator accounts for directly.