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Alternative Support Systems for Cantilever - National Transportation ...

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Bolt Properties - D1" ASTM A325<br />

Center to Center Radius of Bolts rb := 12in<br />

Number of Bolts No_Bolts := 12<br />

Field Strength of Bolts fy_bolt_field := 55ksi<br />

Ultimate Strength of Bolts fu_bolt := 105ksi<br />

Dpipe Radius of the pipe rp := = 10 in<br />

2<br />

Diameter of the bolt dbolt := 1.50in<br />

Bolt Bearing Strength<br />

Lc :=<br />

( )<br />

ϕshear := .75<br />

Bp − db − .5⋅dbolt 2<br />

= 1.62 in<br />

ϕRn := 1.2⋅Fu_plate⋅Lc⋅ tplate ϕRn = 120.9 kip<br />

Rn_parallel := 2⋅ϕRn Rn_parallel = 241.8 kip<br />

⎛<br />

⎜<br />

⎝<br />

⎞<br />

⎟<br />

⎠<br />

db Tn_bolt_bearing := No_Bolts⋅Rn_parallel⋅ T<br />

2<br />

n_bolt_bearing 2.42 10 3<br />

= × ft·kip<br />

Check_Bolt_Bearing := "Sufficient Strength" if Tn_bolt_bearing ≥ Tn_blowout Check Bolt Spacing<br />

sreq := 2.67⋅dbolt = 4 in<br />

sactual :=<br />

π⋅db 12<br />

= 5.24 in<br />

"Insufficient Strength" otherwise<br />

Check_Bolt_Bearing = "Sufficient Strength"<br />

Check_Bolt_Spacing := "Sufficient" if sactual ≥ sreq Check_Bolt_Spacing = "Sufficient"<br />

Check Bolt Shear<br />

( ) 2<br />

Ab π ⋅ .5⋅dbolt 1.77 in 2<br />

:=<br />

=<br />

Fnv := .4⋅120ksi = 48 ksi<br />

ϕVn :=<br />

ϕshear⋅Ab⋅ Fnv "Insufficient" otherwise<br />

ϕVn = 63.62 kip<br />

Vn_parallel := ϕVn⋅2 Vn_parallel = 127.23 kip<br />

157

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