Alternative Support Systems for Cantilever - National Transportation ...

lbreakout := L + 2⋅1.5ca1 lbreakout = 18.2 in
( ) 3
AVc := min lbreakout, Ls ⋅ ⋅ca1
AVc 203.77 in 2
=
2
AVco := 4.5⋅ca1 AVco 62.69 in 2
=
le := L
le = 7 in
.2
1.5
⎛ le ⎞ b fc ⎛ ca1⎞ Vb := 13⋅
⋅ ⋅ ⋅ ⎟⎠ ⋅lbf
V
b in psi in
b = 10.26 kip
⎜ ⎝
⎛
⎜
⎝
⎟ ⎠
⎞
⎟
⎠
⎜ ⎝
AVc Vcbg := ⋅ψ A
ecV⋅ψedV⋅ψcV⋅Vb
Vcbg = 46.69 kip
Vco
Vcbg_parallel := 2⋅Vcbg Vcbg_parallel = 93.37 kip
Vc := Vcbg_parallel⋅No_Stiff Vc = 373.5 kip
⎛
⎜
⎝
⎞
⎟
⎠
dst Tn_breakout_plate := Vc⋅ T
2
n_breakout_plate = 249 ft·kip
Torsional Capacity Using Breakout Capacity
Torsional Capacity Using Side-Face Blowout Capacity
Input
Width of the stiffener plates b = 1 in
Thickness of the stiffener plates t = 1 in
Length of the stiffener plates L = 7 in
Length of the shaft Ls = 36 in
Diameter of upright/embedded pipe dpipe = 16 in
Diameter of stiffeners dst := dpipe Number of stiffeners No_Stiff := 4
Concrete Breakout Equivalent Torsional Strength
Based on ACI 318 Appendix D
⎡
⎢
⎡
⎤
2
2 2
⎛ dst ⎞ ⎢⎛
ds ⎞ ⎛ dst ⎞ ⎥ ⎛ dst ⎞⎥
⎢ ⎜ ⎟ + 3.25⋅⎢⎜
⎟ − ⎜ ⎟ ⎥ − ⎜ ⎟⎥ ⎣ ⎝ 2 ⎠ ⎣⎝
2 ⎠ ⎝ 2 ⎠ ⎦ ⎝ 2 ⎠⎦
ca1 := c
3.25
a1 = 3.73 in
⎤
108