Alternative Support Systems for Cantilever - National Transportation ...
Alternative Support Systems for Cantilever - National Transportation ...
Alternative Support Systems for Cantilever - National Transportation ...
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Bolt Properties - D1" ASTM A325<br />
plate<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 />
⎛<br />
⎜<br />
⎝<br />
⎞<br />
⎟<br />
⎠<br />
db Tbolt_shear := No_Bolts⋅Vn_parallel⋅ T<br />
2<br />
bolt_shear 1.27 10 3<br />
= × ft·kip<br />
124