Beam Triangular Load Calculator
Simple beam under linearly varying (triangular) load — water pressure, soil, snow drift.
Triangular loading is everywhere: hydrostatic pressure on a wall acting on a vertical beam IS this case rotated 90°.
Formula
Beam Triangular Load Calculator is a free triangular load beam 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 Beam Triangular Load Calculator
Simple beam under linearly varying (triangular) load — water pressure, soil, snow drift. The calculation implements R₁ = W/3; R₂ = 2W/3; M_max = wL²/9√3 ≈ 0.0642·wL² at x = L/√3 (Roark's Formulas, Table 8.1). Triangular loading is everywhere: hydrostatic pressure on a wall acting on a vertical beam IS this case rotated 90°.
How to use Beam Triangular Load Calculator
- 1Enter Peak intensity w (at right end) in kN/m.
- 2Enter Span L in m.
- 3Read Reaction at small end, Reaction at peak end, Max moment (at 0.577L) instantly — no submit button needed.
- 4Need US units? Flip the SI/Imperial toggle and every field converts.
Why use Beam Triangular Load Calculator?
- ✓Implements the standard formula — R₁ = W/3; R₂ = 2W/3; M_max = wL²/9√3 ≈ 0.0642·wL² at x = L/√3
- ✓Reference cited on-page: Roark's Formulas, Table 8.1
- ✓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 Beam Triangular Load Calculator use?+
It computes R₁ = W/3; R₂ = 2W/3; M_max = wL²/9√3 ≈ 0.0642·wL² at x = L/√3, per Roark's Formulas, Table 8.1. The formula is displayed under the result.
What should I keep in mind when using this calculator?+
Triangular loading is everywhere: hydrostatic pressure on a wall acting on a vertical beam IS this case rotated 90°.
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 Beam Triangular Load 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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