Equivalent radius of contact area of the load (mm^2) based on the effective contact area
a = sqrt((d^2)/pi)
Thickness of base plate (mm)
t

Width of the racking leg/column (mm)
d
Radius
r

Single Point Load

a/l calculated
contact area to stiffness ratio
a/l (where a/l is 0, in between 0 and 0.2, or 0.2+)
P*1 [kN]
Internal Load Interpolation
Pu,a/l = Pu,0 + ((Pu,0.2 - Pu,0) * (a/l /0.2)
Internal Load a/l = 0
Pu,0 = 2*pi*(Mp+Mn) [kN]
Internal Load a/l >=0.2
Pu,0.2 = [pi*(Mp+Mn) + 4*Mn]/[l-(2a/3l)] [kN]
Internal Load
Free Edge Load Interpolation
Pu,(a/l) = Pu,0 + ((Pu,0.2 - Pu,0) * (a/l)/0.2)

Free Edge Load a/l = 0
Pu,0=[PI*(Mp+Mn)/2]+2*Mn [kN]
Free Edge Load a/l >=0.2
Pu,0.2 = [PI()*(Mp+Mn)+4*Mn]/[1-(2*a/3*l)] [kN]
Free Edge Load
Free Corner Load Interpolation
Pu,a/l = Pu,0 + ((Pu,0.2 - Pu,0) * (a/l /0.2)
Free Corner Load a/l = 0
Pu,0 = 2*Mn [kN]
Free Corner Load a/l >= 0.2
Pu,0.2 = 4*Mn/[1-(a/l)] [kN]
Free Corner Load

Dual Point Load

P*'s [kN]
Centre Line Spacing between 2 point loads
"if x<2h, treat as single point. X > 2h (h = thickness) dual point. [mm]"
Interpolation Internal Load
Internal Load a/l = 0
Pu,0 = [2*PI() + ((1.8*x)/l)] * (Mp + Mn) [kN]

Internal Load a/l >=0.2
Pu,0.2 = [4*PI/(1-(a/3l)+1.8x/(1-(a/2))]*[Mp+Mn] [kN]
Internal Load
Multiplier Factor
mf = single point free edge load / internal load
Free Edge Load

Quadruple Point Load

P*'s [kN]
P*'s [kN]
Centre Line Spacing between 2 point loads
x [mm]
Centre Line Spacing between 2 point loads
y [mm]
Interpolation Internal Load (a)
normal interpolation
Interpolation Internal Load (b) only valid if same racking leg dimensions for each P
4 x single point load capacity

Interpolation Internal Load © only valid if same racking leg dimensions for each P
2 x dual point load capacity
Interpolation Internal Load
min (a,b,c)
Internal Load a/l = 0
Pu,0 = ((2*PI) + (1.8(x+y)/l)) * [Mp + Mn] [kN]
Internal Load a/l >=0.2
Pu,0.2 = [4*PI/(1-(a/3l)+1.8(x+y)/(1-(a/2))]*[Mp+Mn] [kN]
Internal Load

Point Load
P* [kN]
Max Shear Strength
Vmax [Mpa]
Plate Shape
Length of the perimeter of the loaded area Square Plate
u0. 4*(d+4t) or 4*d? [mm]
Length of the perimeter at a distance 2d. from the loaded area. Square Plate
u1. 4d*PI+u0 [mm]
Effective depth of slab cross section
d* = 0.75*h [mm]
ks = 1+(200/d*)^0.5. Must be less than or equal to 2.0
Max Punching Load Capacity
Pp,max = Vmax*u0*d* [kN]
Punching Load Capacity (unreinforced)
Pp = VRd,c,min*u1*d* [kN]
Unreinforced Concrete Minimum Shear Stress
VRd,c,min = 0.035(ks^1.5)*(fck^0.5)
Unreinforced Concrete Minimum Shear Stress
VRd,c,min = 0.035(ks^1.5)*(fck^0.5)
Internal Slab

Length of the perimeter of the loaded area Square Plate
u0 = 3 x d [mm]
Max Punching Load Capacity
Pp,max = Vmax*u0*d* [kN]
Length of the loaded perimeter at a distance 2d from loaded area
u1 = (2*PI() *d*) + (3*d) [mm]
Punching Load Capacity (unreinforced)
Pp = VRd,c,min*u1*d* [kN]
Edge
Length of the perimeter of the loaded area Square Plate
u0 = 2*d [mm]
Max Punching Load Capacity
Pp,max = Vmax*u0*d* [kN]
Length of the loaded perimeter at a distance 2d from loaded area
u1 =(PI() * d*) +(2*d) [mm] (square plate)
Punching Load Capacity (unreinforced)
Pp = VRd,c,min*u1*d* [kN]
Corner

Loads Applied Through a Stiff Bearing (a/l<0.2)

Check if a/l<0.2 to complete this section
Point Load
P [kN]
Effective dimensions of bearing plate: x, y.
x is the dimension parrallel to edge
Ground Pressure where a/l<0.2
Rcp = 1.4*(d*/l)^2*P + 0.47(x+y)(d* * P/(l^2)) [kN]
Ground Pressure where a/l>=0.2 (stiff bearing absent)
Rcp = 1.4*((d* /l)^2) * P [kN]
Internal Load Ground Pressure
Rcp = 1.4*(d*/l)^2*P + 0.47(x+y)(d* * P/(l^2)) [kN]

Internal Load Ground Pressure
P*-Rcp < Pp (Internal Slab)
Ground Pressure where a/l<0.2
Rcp = 2.4*((d*/l)^2)*P + 0.8*(x+2y)(d* * P/(l^2)) [kN]
Ground Pressure where a/l>=0.2 (stiff bearing absent)
Rcp = 2.4*((d* /l)^2) * P [kN]
Edge Load Ground Pressure
Rcp = 2.4*((d*/l)^2)*P + 0.8*(x+2y)(d* * P/(l^2)) [kN]
Edge Load Ground Pressure
P* - Rcp < Pp Slab Edge