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Alternative Support Systems for Cantilever - National Transportation ...

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λpf := .38⋅<br />

λpw := 3.76⋅<br />

E<br />

F y_channel<br />

E<br />

F y_channel<br />

Check_Flange_Compact := "Compact" if λpf > λf "Not Compact" otherwise<br />

Check_Web_Compact := "Compact" if λpw > λw Bracing Check of Each Channel<br />

Lb := b<br />

Lp := 1.76⋅ry⋅ E<br />

F y_channel<br />

"Not Compact" otherwise<br />

Bracing_Check := "Braced" if Lp > Lb "Unbraced" otherwise<br />

Checking Channel Assembly<br />

⎡<br />

⎢<br />

⎣<br />

⎡<br />

⎢<br />

⎣<br />

⎡<br />

⎢<br />

⎣<br />

Iy_unit := 2⋅ Iy + Achannel⋅ x_bar +<br />

ry_unit :=<br />

I y_unit<br />

A channel<br />

Lp_unit := 1.76⋅ry_unit⋅ bf_unit := 2⋅bf + 1.75in<br />

tw_unit := 2⋅tw + 1.75in<br />

bf_unit λf_unit :=<br />

2⋅tf h<br />

λw_unit :=<br />

tw_unit E<br />

F y_channel<br />

⎛<br />

⎜<br />

⎝<br />

1.75in<br />

2<br />

2<br />

⎞⎤<br />

⎤⎤<br />

⎟⎥ ⎥⎥ ⎠⎦<br />

⎦⎦<br />

133<br />

λpf = 9.15<br />

AISC Spec. B4<br />

λpw = 90.55<br />

AISC Spec. B4<br />

Check_Flange_Compact = "Compact"<br />

AISC Spec. B4<br />

Check_Web_Compact = "Compact"<br />

AISC Spec. B4<br />

Lb = 2⋅ft Lp = 2.69⋅ft AISC Spec. F2.2<br />

(F2-5)<br />

Bracing_Check = "Braced"<br />

Iy_unit 52.52 in 4<br />

=<br />

ry_unit = 2.44 in<br />

Lp_unit = 103.49 in<br />

bf_unit = 8.09 in<br />

tw_unit = 2.77 in<br />

λf_unit = 8.07<br />

λw_unit = 4.33

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