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Weld group capacity (elastic method)
Calculate the capacity of a weld group using the elastic stress method
Input:
Weld Configuration
Vertical Line
Double Vertical Line
Double Horiz Line
C Shape
I Shape
L Shape
Rotated C Shape
Circle
Rectangle
T Shape
ϕw =
Mu =
kip-ft
Nu =
kips
Vu =
kips
Tu =
kip-ft
b =
in
d =
in
Output:
Definitions
ϕ
w
= Resistance factor for welds
M
u
= Factored moment (kip*ft)
N
u
= Axial load; Tension positive (kip)
T
u
= Factored torsional moment (kip-ft)
V
u
= Factored shear force (kip)
b = weld group width (in)
d = weld group depth, height, or diameter (in)
r = distance from centroid to weld, for calculating torsion stress (in)
f
Ru
= resultant stress (kip / in)
Calculate the geometric properties of the weld group
y
c
= d / 2 = 12 in
J = (b+d)
3
/ 6 = 7776 in
3
S
cx
= bd + d
2
/3 = 480 in
2
A
w
= 2d + 2b = 72 in
r
max
= Sqrt((b/2)
2
+(d/2)
2
) = 13.416 in
Calculate the unit stress from each applied load
f
Pu
= N
u
/A
w
= 0 kip / 72 in = 0 kip/in
f
Vu
= V
u
/A
w
= 0 kip / 72 in = 0 kip/in
f
Mu
= M
u
/S
xx
= 0 kip-in / 480 in
2
= 0 kip/in
f
Tu,max
= T
u
r
max
/ J = 0 kip-in / 7776 in
2
= 0 kip/in
Calculate the peak resultant stress using vector combination
Note: fTu added to fVu (assumed to act in same direction)
f
Ru
= sqrt([f
Pu
+ f
Mu
]
2
+ [f
Vu
+ f
Tu
]
2
) = 0
Calculate the required weld size
Use weld with strength of 0 kip/in
User Notes:
User notes
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