Solution

{%if outputs.beamtype == 'W'%}

{{outputs.dimensions}} Properties

{%elif outputs.beamtype == 'HSS'%}

A500 {{outputs.dimensions}} Properties

{%endif%}

{% for i in outputs.listnum %}

{{ outputs.listprop2[i] | katex}}: {{outputs.beam[outputs.listprop[i]] | katex}} {{outputs.units[outputs.listprop[i]] | katex}}

{%endfor%}

Width-to-Thickness Ratio Check

{%if outputs.beamtype == 'W'%}

Flange:

{%if (outputs.LBF == 'premature flange local buckling will not occur')%}

$\frac{b_f/2}{t_f} =$ {{outputs.flange | katex}} $\leq \frac{200}{\sqrt{F_y}} =$ {{outputs.flangetest | katex}} (Passed)

{%elif (outputs.LBF == 'premature flange local buckling will occur')%}

$\frac{b_f/2}{t_f} =$ {{outputs.flange | katex}} $> \frac{200}{\sqrt{F_y}} =$ {{outputs.flangetest | katex}} (Failed)

{%endif%}

Web:

{%if (outputs.LBW == 'premature web local buckling will not occur')%}

$\frac{d – 2t_f}{t_w} =$ {{outputs.web | katex}} $\leq \frac{670}{\sqrt{F_y}} =$ {{outputs.webtest | katex}} (Passed)

{%elif (outputs.LBW == 'premature web local buckling will occur')%}

$\frac{d – 2t_f}{t_w} =$ {{outputs.web | katex}} $\geq \frac{670}{\sqrt{F_y}} =$ {{outputs.webtest | katex}} (Failed)

{%endif%}

{%elif outputs.beamtype == 'HSS'%}

{%if (outputs.LBS == 'member local buckling will not occur')%}

$\frac{H_t – 4t_{nom}}{t_{nom}} =$ {{outputs.sidewall}} $\leq \frac{670}{\sqrt{F_y}} =$ {{outputs.sidewalltest | katex}} (Passed)

{%elif (outputs.LBS == 'member local buckling will occur')%}

$\frac{H_t – 4t_{nom}}{t_{nom}} =$ {{outputs.sidewall}} $\geq \frac{670}{\sqrt{F_y}} =$ {{outputs.sidewalltest | katex}} (Failed)

{%endif%}

{%endif%}

{%if (outputs.LBF == 'premature flange local buckling will occur') or (outputs.LBW == 'premature web local buckling will occur') or (outputs.LBS == 'member local buckling will occur')%}

Compression resistance is controlled by local buckling.

{%else%}

Factored Compression Resistance

Effective Length Factor: $K =$ {{outputs.K}}

{%if outputs.Cvib == true%}

Slenderness Check: $(\frac{KL}{r})_{max} =$ {{outputs.vibVal | katex}} $\leq 200$ (Passed)

Slenderness Parameter: $\lambda = (\frac{KL}{r})_{max} \sqrt{\frac{F_y}{\pi^2 E}} =$ {{outputs.lam}}

Residual Stress Parameter: $n = 1.34$

Factored Compression Resistance: $C_r = \frac{\phi AF_y}{(1+\lambda^{2n})^{1/n}} =$ {{outputs.Cr}} $kN$

{%else%}

Slenderness Check: $(\frac{KL}{r})_{max} =$ {{outputs.vibVal | katex}} $\geq 200$ (Failed)

The Slenderness Ratio exceeds the maximum permissible slenderness limit for compression members.

{%endif%}

{%endif%}

Design of Compression Members in Accordance with CSA S16-19