Standard-case results
For its idealized standard cases, the calculator reports support reactions and preliminary estimates of maximum shear and maximum absolute bending moment.
- Simply supported: the standard symmetric cases produce vertical reactions at both supports.
- Fixed-fixed: the standard symmetric cases produce vertical reactions and opposing support moments.
- Cantilever: the fixed support carries the standard vertical reaction and support moment.
What the result means
The calculator presents standard support reactions and preliminary maximum shear and maximum absolute bending-moment estimates for the selected scenario.
- The shear and bending-moment values are estimates for the idealized load and support cases listed here.
- The tool does not turn these estimates into a member-capacity or design decision.
Unit conventions
Choose metric SI or US customary units. The span may be entered in metres or feet; it is converted before the supported range is checked.
- The supported span is 0.1–100 m after conversion.
- Metric: span m, point load kN, distributed load kN/m, reactions kN, and moments kN·m.
- US customary: span ft, point load kip, distributed load kip/ft, reactions kip, and moments kip·ft.
- Metric material inputs: cross-sectional area m² and material unit weight kN/m³; US customary: area in² and unit weight lb/ft³.
- Limits after normalization: span 0.1–100 m; point load 0.001–10,000 kN; distributed load 0.001–1,000 kN/m.
Supported inputs
The calculator accepts three support conditions, three material choices, and downward point or uniformly distributed loads.
- Supports: simply supported, fixed-fixed, and cantilever.
- Materials: structural steel, timber, and reinforced concrete.
- Loads: a point load at midspan for supported beams or at the cantilever free end; a uniformly distributed load covers the full span.
- Section area and material unit weight are used to estimate the beam self-weight, which is included as a full-span distributed load.
- Metric material inputs are area in m² and unit weight in kN/m³; US customary inputs are area in² and unit weight lb/ft³.
Limitations
This is a preliminary check and does not replace qualified professional engineering judgment.
- Reference material unit weights are sample assumptions. Confirm project-specific properties, dimensions, and loads with a qualified engineer.
- It does not check stress, capacity, stiffness, deflection, buckling, connections, code compliance, or final design.
Common input errors
The calculator requires a complete scenario before it will call the authenticated calculation route.
- Blank, non-finite, zero, negative, or out-of-range span and loads are rejected inline.
- The span unit must match SI/US, and the load unit must also match point/distributed load type.
- A point-load value must be in kN or kip; a distributed value must be in kN/m or kip/ft.
Preliminary engineering aid only. It does not replace qualified professional engineering judgment or a project-specific review.