> ## Documentation Index
> Fetch the complete documentation index at: https://calcs.com/docs/llms.txt
> Use this file to discover all available pages before exploring further.

# Design a Steel Beam to CSA S16:19

> The Calcs.com Canadian steel beam calculator enables the fast design and analysis of a steel beam with multiple supports and loads using CSA S16:19 provisions.

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    <div className="calc-details-chips"><span className="calc-chip calc-chip--region">Canada</span><span className="calc-chip calc-chip--primary">CSA S16:19</span><span className="calc-chip">NBCC 2015</span></div>
    <div className="calc-details-head"><span className="calc-card-icon">    <img src="https://mintcdn.com/clearcalcs/76EPoy-ubBj1vg6U/images/calculator-icons/4b7c423a0c54d61582ec47b586b1537f0501e05b333fab511faa11d079c2b3d5.svg?fit=max&auto=format&n=76EPoy-ubBj1vg6U&q=85&s=4ed76db3c7562163f18754ea8b6e7bfa" alt="" width="24" height="24" loading="lazy" data-path="images/calculator-icons/4b7c423a0c54d61582ec47b586b1537f0501e05b333fab511faa11d079c2b3d5.svg" /></span><p className="calc-details-name">Steel Beam</p><a className="calc-details-run" href="https://app.calcs.com/new/sheet/steelBeamCA">Run the calc</a></div>
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  Beam reactions link to the columns and footings below, so load changes propagate downstream automatically. Design steel beams to CSA S16:19 with multiple supports and loads. Checks cover factored moment and shear resistance, section class, lateral torsional buckling via the omega-2 factor, and three independent deflection limits.
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The Calcs.com Canadian steel beam calculator enables the fast design and analysis of a steel beam with multiple supports and loads using CSA S16:19 provisions. Engineers can quickly and easily model any type of steel beam, including steel floor and roof beams with a handy range of presets that reduce repetitive data entry and improve accuracy. Loads can be dynamically linked between structural elements, so beams, columns, and connections can easily be linked and checked for adequacy.

## Method & scope

| Property         | Detail                                                                                                                                                                                                |
| ---------------- | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
| Design standards | CSA S16:19, NBCC 2015                                                                                                                                                                                 |
| Regions          | Canada                                                                                                                                                                                                |
| Presets          | Generic Beam, Floor Joist, Floor Girder, Ceiling Joist, Ridge Beam, Roof Header, Floor Header, Combination Beam                                                                                       |
| What it checks   | Structural model, Load combinations (NBCC 2015 / CSA S16:19), Section classification, Moment resistance (Clause 13.5 and 13.6), Shear resistance (Clause 13.4), Deflection checks, Section properties |

#### Calculation method

##### Structural model

The calculator models the steel beam as a one-dimensional Euler-Bernoulli beam element using a finite element method (FEM) engine. You define supports (pins, rollers, or fixed ends) at any position along the span, and the solver computes reactions, bending moment, shear force, and deflection diagrams under each load combination.

##### Load combinations (NBCC 2015 / CSA S16:19)

Loads are entered by type: dead (D), live (L), roof live (Lr), snow (S), wind up and down (Wu, Wd), and seismic (Eh, Ev). The calculator automatically generates and evaluates all governing CSA/NBCC ultimate limit state (ULS) combinations, for example:

* 1.25D + 1.5L
* 1.25D + 1.5S + 1.0L
* 0.9D + 1.5W (uplift check)

Serviceability load combinations are also generated for deflection checks.

##### Section classification

Before computing capacities, the calculator determines the section class (Class 1 through 4) by checking flange and web element slenderness ratios against CSA S16:19 limits. This governs which section modulus is used:

* **Class 1 and 2**: plastic section modulus Z (full plasticity permitted)
* **Class 3**: elastic section modulus S
* **Class 4**: effective section modulus S\_e, computed by reducing the compression flange width

##### Moment resistance (Clause 13.5 and 13.6)

**Cross-section moment resistance (M\_sxn):** based on the section class and applicable modulus.

**Lateral torsional buckling (LTB):** The calculator checks whether the unbraced length L\_L between lateral restraints at the compression flange exceeds the limit for full plasticity. If LTB governs, the factored member moment resistance M\_r is computed using the omega-2 moment modification factor, either automatically calculated from the bending moment diagram or entered manually. The governing positive and negative moment resistance tables are shown with code references.

**Utilization:** **moment utilization** = M\_f / M\_r ≤ 1.0

##### Shear resistance (Clause 13.4)

Shear capacity accounts for web buckling. The web plate buckling coefficient k\_v and the shear buckling strength coefficient C\_v2 are computed from the web slenderness h/w. The factored shear resistance V\_r is then:

**shear utilization** = V\_f / V\_r ≤ 1.0

For circular hollow sections, the critical shear stress F\_cr follows the applicable CSA provision.

##### Deflection checks

Three independent deflection limits are checked:

1. **Span/n ratio** (e.g. L/360 for live load), user-defined per span
2. **Long-term deflection**, separate L/n limit applied to total long-term deflection
3. **Absolute deflection**, optional hard limit in mm

Deflections are computed by integrating the curvature diagram from the FEM solution. The governing deflection per span is compared to each active limit.

##### Section properties

Section properties (I\_x, I\_y, Z, S, J, C\_w, A\_g, A\_w) are read directly from the built-in steel section database. For angle sections, the orientation and principal axis angle alpha are accounted for.

##### Load linking

Reaction forces at each support are exported as linked outputs. When this beam is part of a larger project, column and footing calculations placed below it automatically receive the updated reactions whenever the beam inputs change.

## How to use it

<Steps>
  <Step title="Open the calculator">
    Open it from **Run calc** in the About this calculator panel above. To start from a typical setup, choose one of the presets listed there.
  </Step>

  <Step title="Enter your inputs">
    Work through the input sections from top to bottom. Click any input label to see its reference explanation, clause, conditions and assumptions. See [Checks, References, Conditions and Assumptions](/docs/running-calculations/checking-results/checks-references-conditions-assumptions).
  </Step>

  <Step title="Review the results and export">
    Check the utilization of each governing check in the summary, then export a PDF report. See [Views and Export](/docs/running-calculations/exporting-reports/views-and-export).
  </Step>
</Steps>

## Available presets

Each preset opens the calculator with a typical setup already entered.

| Preset                                  | Open in Calcs.com                                                                      |
| --------------------------------------- | -------------------------------------------------------------------------------------- |
| <span id="genericBeam" />Generic Beam   | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=genericBeam)  |
| <span id="floorJoist" />Floor Joist     | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=floorJoist)   |
| <span id="floorGirder" />Floor Girder   | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=floorGirder)  |
| <span id="ceilingJoist" />Ceiling Joist | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=ceilingJoist) |
| <span id="roofGirder" />Ridge Beam      | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=roofGirder)   |
| <span id="roofHeader" />Roof Header     | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=roofHeader)   |
| <span id="floorHeader" />Floor Header   | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=floorHeader)  |
| <span id="comboBeam" />Combination Beam | [Run with preset](https://app.calcs.com/new/sheet/steelBeamCA?presetCode=comboBeam)    |

## Common questions

<AccordionGroup>
  <Accordion title="What design code does this calculator use?">
    The calculator designs steel beams to CSA S16:19 (Limit States Design) with load combinations per NBCC 2015. Both factored strength checks and serviceability deflection limits are included.
  </Accordion>

  <Accordion title="What are the key inputs?">
    Key inputs include the steel section (selected from the built-in database), beam span and support layout, yield strength (Fy), distributed and point loads by load type, lateral restraint spacing for lateral torsional buckling, and deflection limit criteria (span/n and absolute).
  </Accordion>

  <Accordion title="What checks and outputs does it produce?">
    The calculator outputs factored moment demand vs. resistance (M\_f / M\_r), factored shear demand vs. resistance (V\_f / V\_r), governing short-term deflection, long-term deflection, and simplified DL+LL deflection ratios. Section class (1 through 4), lateral torsional buckling, and the omega-2 moment modification factor are all computed automatically.
  </Accordion>

  <Accordion title="Can it handle continuous beams and cantilevers?">
    Yes. The calculator supports unlimited spans with any combination of pin, roller, and fixed supports. Cantilever spans are handled and deflection limits for cantilevers can optionally be doubled per common practice.
  </Accordion>

  <Accordion title="Which steel sections are available in the section database?">
    The calculator includes Canadian W, S, M, HP, hollow structural sections (HSS rectangular and circular), and angles. You can also select bending axis (strong or weak) and orientation for angle sections.
  </Accordion>

  <Accordion title="Does this calculator support load linking with column and footing calculations?">
    Yes, beam reactions link directly to connected column and footing calculations. When inputs change, all downstream calcs update automatically.
  </Accordion>
</AccordionGroup>

## Next steps

<CardGroup cols={2}>
  <Card title="Canada Calculator Library" icon="list" href="/docs/calculators/ca#steelBeamCA">
    Complete list of Calcs.com design calculators available for Canadian projects (CSA O86, CSA S16, NBCC, and related standards).
  </Card>

  <Card title="Design a Steel Member (Design Only) to CSA S16:19" icon="calculator" href="/docs/calculators/ca/beams/steelMemberCA">
    Check a steel member for combined actions to CSA S16:19.
  </Card>

  <Card title="Design a Steel Column to CSA S16:19" icon="calculator" href="/docs/calculators/ca/columns/steelColumnCA">
    Design and analyze steel columns to CSA S16:19 with multiple supports and loads. Presets reduce repetitive data entry for Canadian projects.
  </Card>
</CardGroup>