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ReoCo - Concrete Calculator

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Point Loads
Slab Properties Slab Thickness:
150 mm

Characteristic Compressive Cylinder Strength (Mpa):

Material:

Substrate Description:

Part 2 Width of the Racking Leg/Column:
mm

Moment Capacities Kind of Concrete:

Fibre Product: (*in order to select fibre product, please select the kind of concrete)

Dosage Rate (kg/m³): (*in order to select dosage rate, please select the fibre product)
Single Point Load Ultimate Design Point Load:
kn

Dual Point Load Dual - Ultimate Design Point Load 1:
kn

Dual - Ultimate Design Point Load 2:
kn

Centre Line Spacing between 2 point loads:
mm

Quadruple Point Load Quadruple - Ultimate Design Point Load 1:
kn

Quadruple - Ultimate Design Point Load 2:
kn

Quadruple - Ultimate Design Point Load 3:
kn

Quadruple - Ultimate Design Point Load 4:
kn

Quadruple - Centre Line Spacing between 2 point loads X:
mm

Quadruple - Centre Line Spacing between 2 point loads Y:
mm

Punching Shear
Design Parameters Design Point Load:
kn

Base Plate Thickness:
mm
Internal Slab Unreinforced Concrete Minimum Shear Stress:
mPa
"Effect of Ground Support, Loads Applied through a Stiff Bearing" Effective Dimensions of Bearing Plate [mm]:
Results - Point Loads Single Point Load:
Internal Load: kn
Free Edge Load: kn
Free Corner Load: kn

Dual Point Loads:
Internal Load: kn
Free Edge Load: kn

Quadruple Point Loads:
Internal Load: kn
Results - Punching Shear Internal Slab: kn
Edge: kn
Corner: kn
Internal Load Ground Pressure P*-Rcp < Pp (Internal Slab): kn
Edge Load Ground Pressure P* - Rcp < Pp (Slab Edge): kn
Worksheet
Strength Properties for Concrete
Characteristic compressive cylinder strength ƒck [MPa]


Mean Compressive Strength (cylindrical) ƒcm = fck + 8


Mean Axial Tensile Strength "ƒctm = 0.3*fck^(2/3) if fck <=50. =2.12ln(1+(fcm/10)) if fck>50"


Secant Modulus of Elasticity Ecm = 22*((fcm/10)^0.3)


Short-Term Elastic Concrete Modulus Ecm [MPa] (rounded to nearest 500)


Flexural Tensile Strength
Slab Thickness h (mm)


Material


Material Partial Safety Factor γm


Flexural Tensile Strength ƒctd,fl [MPa] = fctm * (1.6-h/1000)/γm


Radius of Relative Stiffness
Material Description



Modulus of subgrade reaction k [N/mm^3]


Radius of Relative Stiffness (Elastic Length) l [mm]


Negative Moment Capacity Mun = ƒctd,fl(h^2/6) [kNm/m]


Positive Moment Capacity (with Macro Synthetic Fibre Reinforced Concrete)
Kind of Concrete:


Which Fibre Product:


What Dosage Rate:


Chosen page and table


Chosen row


Flexural tensile strength CMOD 0.5mm fR1


Direct axial tensile strength CMOD 0.5mm σR1 [MPa]


Flexural tensile strength CMOD 3.5mm fR4


Direct axial tensile strength CMOD 3.5mm σR4 [MPa]


Positive Moment Capacity Mup = (h^2)/γm * (0.29 * σR4 + 0.16 * σR1) [kNm/m]


Select Design Loads
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



Punching Shear Capacity and Ground Support
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



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