Combined UDL + Point Load Beam Calculator
Superpose a UDL and a midspan point load on a simple beam — the real-world loading.
Linear elasticity lets you simply add cases — the most powerful trick in beam analysis. Both maxima coincide at midspan here, so addition is exact.
Formula
Combined UDL + Point Load Beam Calculator is a free combined beam load for structural engineers, fabricators and site engineers — instant, accurate and 100% client-side, with the governing formula and reference shown next to the result so the number can be defended, not just quoted.
About Combined UDL + Point Load Beam Calculator
Superpose a UDL and a midspan point load on a simple beam — the real-world loading. The calculation implements Superposition: M = wL²/8 + PL/4; δ = 5wL⁴/384EI + PL³/48EI (Superposition principle — Roark's Formulas). Linear elasticity lets you simply add cases — the most powerful trick in beam analysis. Both maxima coincide at midspan here, so addition is exact.
How to use Combined UDL + Point Load Beam Calculator
- 1Enter UDL w in kN/m.
- 2Enter Midspan point load P in kN.
- 3Enter Span L in m.
- 4Enter E in GPa.
- 5Read Total max moment, Total midspan deflection, Each reaction instantly — no submit button needed.
- 6Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Combined UDL + Point Load Beam Calculator?
- ✓Implements the standard formula — Superposition: M = wL²/8 + PL/4; δ = 5wL⁴/384EI + PL³/48EI
- ✓Reference cited on-page: Superposition principle — Roark's Formulas
- ✓One-click SI ⇄ Imperial toggle — values convert in place, physics stays in SI
- ✓Runs entirely in your browser — nothing uploaded, free forever
Frequently asked questions
What formula does the Combined UDL + Point Load Beam Calculator use?+
It computes Superposition: M = wL²/8 + PL/4; δ = 5wL⁴/384EI + PL³/48EI, per Superposition principle — Roark's Formulas. The formula is displayed under the result.
What should I keep in mind when using this calculator?+
Linear elasticity lets you simply add cases — the most powerful trick in beam analysis. Both maxima coincide at midspan here, so addition is exact.
Can I use this for real structural design?+
It implements the exact textbook/code formula cited below the result and is ideal for sizing, checking and learning. Final designs should be verified by a qualified engineer against the full code with all load cases.
Is the Combined UDL + Point Load Beam Calculator free to use?+
Yes — completely free, no sign-up, no limits. It runs client-side in your browser, so inputs stay private and results are instant even on slow connections.
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