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%}

Compression Member

The cross-sectional yielding strength is found through:

$C = A_g F_y$

In this case this is found to be {{outputs.C | katex}} $kN$

We can check for the Euler Buckling Load $C_E$ using:

$C_E = \frac{\pi EI}{L^2}$

Here, we find it to be:

{%for k, v in outputs.CE%}

{{v | katex}} on the {{k | katex}}-axis

{%endfor%}

The check for local buckling is

$\frac{b_{el}}{t} \leq \frac{200}{\sqrt{F_y}} =$ {{outputs.flangetest | katex}}

$\frac{b_{el}}{t} =$ {{outputs.flange | katex}}

We can find out if the member will vibrate by doing a simple check:

$KL/r_{min} \le 200$ where $K =$ {{outputs.K | katex}}

$KL/r_{min} =$ {{outputs.vibVal | katex}}

{%if outputs.Cvib == true%}

{%else%}

{%endif%}

Compression resistance: $n = 1.34$

$\lambda = \frac{kL}{r}\sqrt{\frac{F_y}{\pi^2E}} =$ {{outputs.lam | katex}}

$C_r = \frac{\phi AF_y}{(1+\lambda^{2n})^{1/n}} =$ {{outputs.Cr | katex}} $kN$