Beam Deflection Calculator Cantilever Point Load

This calculator covers a cantilever beam — fixed rigidly at one end, free at the other — with a point load applied at any position along its length, rather than only at the tip. This is the more general and more commonly needed case: a bracket carrying a load partway along its length, a shelf bracket loaded closer to the wall than its very end, or any cantilevered member where the load doesn't sit right at the free end.

If your load genuinely sits right at the free end, our Cantilever Point Load at End calculator is a simpler special case of this same scenario, and gives identical results when the load position is set to the full beam length.

This calculator calculates the End Slopes, Support Reactions, Maximum Deflection and Maximum Stress in a Cantilever beam with a point load at any point along its length.

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.

CANTILEVER 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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LOAD 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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SUPPORT REACTION :(WA)

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MAXIMUM DEFLECTION :(y)

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MAXIMUM STRESS:

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RELATED PAGES

• Cantilever, Point Load at End
• Cantilever, Uniform Load

FREQUENTLY ASKED QUESTIONS

Does moving the load closer to the fixed end always reduce deflection?

Yes — both deflection and the free-end slope reduce as the load moves closer to the fixed support, since the effective lever arm the load acts through is shorter. The bending stress at the fixed support also reduces correspondingly.

What's measured beyond the load point on this beam?

The unloaded portion of the beam beyond the load remains straight (assuming the load itself doesn't induce further loading), simply rotating rigidly at the slope set by the loaded section — the calculator accounts for this when working out deflection at the free end.