Project Omega

Machine Learning Design Functions for R/C Sections

Charalampakis, A.E. and Papanikolaou, V.K. (2021) “Machine learning design of R/C columns”, Engineering Structures, Vol. 226, 111412.

https://doi.org/10.1016/j.engstruct.2020.111412

Languages supported

• C# (MLDF.cs)

• C++ (MLDF.cpp)

• Delphi (MLDF.pas)

• Fortran (MLDF.f90)

• Java (MLDF.java)

• Matlab (MLDF.m)

• Python (MLDF.py)

• VB.NET (MLDF.vb)

• VBA/Excel (MLDF.xlsm)

  Excel file contains an interactive spreadsheet for all functions.

Function syntax

Circular solid section

w_CS(cd, n, m)
As_CS(d, c, fcd, N, M)

c/d cover over diameter (0.01 to 0.15)
n normalized axial (-0.6 to +0.1)
m normalized moment
w mechanical reinforcement ratio
d diameter
c cover
fcd concrete strength
N axial
M moment
As reinforcement area

Circular hollow section

w_CH(td, n, m)
As_CH(d, t, fcd, N, M)

t/d thickness over diameter (0.05 to 0.20)
n normalized axial (-0.6 to +0.1)
m normalized moment
w mechanical reinforcement ratio
d diameter
c thickness
fcd concrete strength
N axial
M moment
As reinforcement area

Rectangular solid section with equal reinforcement at each side

w_RSe(bh, cb, n, mx, my)
As_RSe(b, h, c, fcd, N, Mx, My)

b/h width over height (1.0 to 2.0)
c/b cover over width (0.01 to 0.15)
n normalized axial (-0.6 to +0.1)
mx normalized moment
my normalized moment
w mechanical reinforcement ratio
b width
h height
c cover
fcd concrete strength
N axial
Mx moment
My moment
As reinforcement area

Rectangular solid section with distributed reinforcement at each side

w_RSd(bh, ch, n, mx, my)
As_RSd(b, h, c, fcd, N, Mx, My)

b/h width over height (1.0 to 6.0)
c/h cover over height (0.01 to 0.15)
n normalized axial (-0.6 to +0.1)
mx normalized moment
my normalized moment
w mechanical reinforcement ratio
b width
h height
c cover
fcd concrete strength
N axial
Mx moment
My moment
As reinforcement area

Rectangular hollow section with equal reinforcement at each side

w_RHe(bh, tb, n, mx, my)
As_RHe(b, h, t, fcd, N, Mx, My)

b/h width over height (1.0 to 2.0)
t/b thickness over width (0.05 to 0.20)
n normalized axial (-0.6 to +0.1)
mx normalized moment
my normalized moment
w mechanical reinforcement ratio
b width
h height
t thickness
fcd concrete strength
N axial
Mx moment
My moment
As reinforcement area

Rectangular hollow section with distributed reinforcement at each side

w_RHd(bh, tb, n, mx, my)
As_RHd(b, h, t, fcd, N, Mx, My)

b/h width over height (1.0 to 6.0)
t/h thickness over height (0.05 to 0.20)
n normalized axial (-0.6 to +0.1)
mx normalized moment
my normalized moment
w mechanical reinforcement ratio
b width
h height
t thickness
fcd concrete strength
N axial
Mx moment
My moment
As reinforcement area

Tee section

w_T(beffbw, hfd, m)
x_T(beffbw, hfd, m)
As_T(beff, bw, h, hf, c, fcd, M, Optional N)

beff/bw flange width over web width (1.0 to 10.0)
hf/d slab thickness over effective height (0.05 to 0.25)
m normalized moment
w mechanical reinforcement ratio
x normalized compression flange height
beff flange width
bw web width
h height
hf flange height
c cover
fcd concrete strength
M moment
N axial
As reinforcement area

Rectangular section

w_R(m)
x_R(m)
As_R(b, h, c, fcd, M, Optional N)

m normalized moment
w mechanical reinforcement ratio
x normalized compression flange height
b flange width
h web width
c cover
fcd concrete strength
M moment
N axial
As reinforcement area