Solution

For beam {{outputs.dimensions}}:

{% for key in outputs.listprop %}

{%if outputs.beam[key] != "–"%}

{{key | katex}}: {{outputs.beam[key] | katex}} {{outputs.units[key] | katex}}

{%endif%}

{%endfor%}

Class Type

{%if outputs.beamtype == "W" or outputs.beamtype == "C"%}

For Class 1 classification, the following conditions must be met:

$\frac{b_{el}}{t} \leq \frac{145}{\sqrt{F_y}}$ for flange and $\frac{h}{t} \leq \frac{1100}{\sqrt{F_y}}$ for the web.

For Class 2 classification, the following conditions must be met:

$\frac{b_{el}}{t} \leq \frac{170}{\sqrt{F_y}}$ for flange and $\frac{h}{t} \leq \frac{1700}{\sqrt{F_y}}$ for the web.

For Class 3 classification, the following conditions must be met:

$\frac{b_{el}}{t} \leq \frac{200}{\sqrt{F_y}}$ for flange and $\frac{h}{t} \leq \frac{1900}{\sqrt{F_y}}$ for the web.

{% set flange_eq = "\\frac{b_{el}}{t} = \\frac{" + outputs.beam['bf'] + "}{2\\times" + outputs.beam['tf'] + "}=" + outputs.flange %}

{% if outputs.CT == 'Class 4' %}

{% set flange_eq = flange_eq + "\\geq" + outputs.flangetest %}

{%else%}

{% set flange_eq = flange_eq + "\\leq" + outputs.flangetest %}

{%endif%}

For the flange:

{{ flange_eq | katex }}

{% set web_eq = "\\frac{h}{t} = \\frac{" + outputs.beam['d'] + "-" + outputs.beam['tf'] + "\\times 2 }{" + outputs.beam['tw'] + "}=" + outputs.web %}

{% if CT == 'Class 4' %}

{% set web_eq = web_eq + "\\geq" + outputs.webtest %}

{%else%}

{% set web_eq = web_eq + "\\leq" + outputs.webtest %}

{%endif%}

For the web:

{{ web_eq | katex }}

{%elif outputs.beamtype == "WT" %}

For Class 1 classification, the following conditions must be met:

$\frac{b_{el}}{t} \leq \frac{145}{\sqrt{F_y}}$ for flange

For Class 2 classification, the following conditions must be met:

$\frac{b_{el}}{t} \leq \frac{170}{\sqrt{F_y}}$ for flange

For Class 3 classification, the following conditions must be met:

$\frac{b_{el}}{t} \leq \frac{200}{\sqrt{F_y}}$ for flange

{% set flange_eq = "\\frac{b_{el}}{t} = \\frac{" + outputs.beam['bf'] + "} {" + outputs.beam['tf'] + "}=" + outputs.flange %}

{% if CT == 'Class 4' %}

{% set flange_eq = flange_eq + "\\geq" + outputs.flangetest %}

{%else%}

{% set flange_eq = flange_eq + "\\leq" + outputs.flangetest %}

{%endif%}

For the flange:

{{ flange_eq | katex }}

{%endif%}

The class for this section is {{outputs.CT}}

Flexural Member

Flexure

For laterally supported beams:

If class is 1 or 2: $M_{rx} = \phi ZF_y$

If class is 3: $M_{rx} = \phi S_xF_y$

The factored moment resistance is {{outputs.Mrx | katex}} $kN-m$

Shear

Factored Shear resistance $V_r = \phi A_wF_s$ , where:

$A_w = d * w$

$F_s = 0.66F_y$ when $\frac{h}{w} \leq \frac{1014}{\sqrt{F_y}}$

$F_s = \frac{670\sqrt{F_y}}{\frac{h}{w}}$ when $\frac{1014}{\sqrt{F_y}} \lt \frac{h}{w} \leq \frac{1435}{\sqrt{F_y}}$

$F_s = \frac{961200}{(\frac{h}{w})^2}$ when $\frac{h}{w} > \frac{1435}{\sqrt{F_y}}$

The shear resistance for web is {{outputs.SR | katex}} $kN$

SLS Deflections

$\Delta =$ {{outputs.deflection[1] | katex}} on the {{outputs.CA}} axis

{%for k,v in outputs.deflection[0]%}

$\Delta =$ {{v | katex}} on the {{k | katex}}-axis

{%endfor%}

CSA S16 Flexure