public double GetInteractionRatio
(
CombinationCaseId comboCaseId,
double N_u,
double T_uTorsion,
double M_ux,
double M_uy,
double V_ur,
double phiN_n,
double phiT_nTorsion,
double phiM_x,
double phiM_y,
double phiV_rn,
double ForceTolerance = 0.05
)
{
double N = N_u == 0 ? 0 : Math.Abs(N_u / phiN_n);
double T = T_uTorsion == 0 ? 0 : Math.Abs(T_uTorsion / phiT_nTorsion);
double Mx = M_ux == 0 ? 0 : Math.Abs(M_ux / phiM_x);
double My = M_uy == 0 ? 0 : Math.Abs(M_uy / phiM_y);
double V = V_ur == 0 ? 0 : Math.Abs(V_ur / phiV_rn);
double tf = N_u * ForceTolerance; //threshholdForce
double tm = M_ux * ForceTolerance; //threshholdMoment
double InteractionRatio = 1;
double InteractionRatioPMM = 1;
double InteractionRatioV = 1;
switch (comboCaseId)
{
case CombinationCaseId.H1:
InteractionRatioV = T + V;
if (N >= 0.2)
{
InteractionRatioPMM = N + 8.0 / 9.0 * (Mx + My); //H1-1a
}
else
{
InteractionRatioPMM = N / 2.0 + (Mx + My); //H1-1b
}
if (InteractionRatioV != 0)
{
InteractionRatio = Math.Min(Math.Abs(InteractionRatioPMM), Math.Abs(InteractionRatioV));
}
else
{
InteractionRatio = Math.Abs(InteractionRatioPMM);
}
break;
case CombinationCaseId.H2:
InteractionRatioPMM = N + Mx + My;
InteractionRatioV = T + V;
if (InteractionRatioV != 0)
{
InteractionRatio = Math.Min(Math.Abs(InteractionRatioPMM), Math.Abs(InteractionRatioV));
}
else
{
InteractionRatio = Math.Abs(InteractionRatioPMM);
}
break;
case CombinationCaseId.H3:
InteractionRatioPMM = N / 2.0 + (Mx + My); //H2-1
break;
case CombinationCaseId.Linear:
InteractionRatio = N + Mx + My + T + V;
break;
case CombinationCaseId.Elliptical:
InteractionRatio = Math.Pow(N, 2) + Math.Pow(Mx, 2) + Math.Pow(My, 2) + Math.Pow(V, 2) + Math.Pow(T, 2);
break;
case CombinationCaseId.Cubic: //Used in Design Guide 2 for web openings
InteractionRatio = Math.Pow(N, 3) + Math.Pow(Mx, 3) + Math.Pow(My, 3) + Math.Pow(V, 3) + Math.Pow(T, 3);
break;
case CombinationCaseId.Anchorage:
InteractionRatio = Math.Pow(N, 5.0 / 3.0) + Math.Pow(Mx, 5.0 / 3.0) + Math.Pow(My, 5.0 / 3.0) + Math.Pow(V, 5.0 / 3.0) + Math.Pow(T, 5.0 / 3.02);
break;
case CombinationCaseId.Plastic:
// BO DOWSWELL
//Plastic Strength of Connection Elements
//ENGINEERING JOURNAL / FIRST QUARTER / 2015
InteractionRatio = Math.Pow(N, 2) + Math.Pow(Mx, 1.7) + Math.Pow(My, 1.7) + Math.Pow(V, 4) + Math.Pow(T, 2);
break;
default:
InteractionRatio = Math.Pow(N, 2) + Math.Pow(Mx, 1.7) + Math.Pow(My, 1.7) + Math.Pow(V, 4) + Math.Pow(T, 2);
break;
}
List <double> IndividualIRs = new List <double>
{
N,
T,
Mx,
My,
V,
InteractionRatio
};
//Summation of interaction ratios cannot be better than any individual one
double IR_Adjusted = IndividualIRs.Max();
return(IR_Adjusted);
}
public double GetInteractionRatio
(
CombinationCaseId comboCaseId,
double N_u,
double T_uTorsion,
double M_ux,
double M_uy,
double V_ur,
double phiN_n,
double phiT_nTorsion,
double phiM_x,
double phiM_y,
double phiV_rn,
double ForceTolerance = 0.05
)
{
double N = N_u ==0 ? 0 : Math.Abs(N_u/phiN_n);
double T = T_uTorsion==0 ? 0 : Math.Abs(T_uTorsion/phiT_nTorsion);
double Mx =M_ux ==0 ? 0 : Math.Abs( M_ux/phiM_x);
double My= M_uy ==0 ? 0 : Math.Abs(M_uy/phiM_y);
double V = V_ur ==0 ? 0 : Math.Abs(V_ur/phiV_rn);
double tf = N_u * ForceTolerance; //threshholdForce
double tm = M_ux * ForceTolerance; //threshholdMoment
double InteractionRatio = 1;
double InteractionRatioPMM = 1;
double InteractionRatioV = 1;
switch (comboCaseId)
{
case CombinationCaseId.H1:
InteractionRatioV = T+V;
if (N>=0.2)
{
InteractionRatioPMM = N+8.0/9.0*(Mx+My); //H1-1a
}
else
{
InteractionRatioPMM = N / 2 + (Mx + My); //H1-1b
}
if (InteractionRatioV!=0)
{
InteractionRatio = Math.Min(Math.Abs(InteractionRatioPMM), Math.Abs(InteractionRatioV));
}
else
{
InteractionRatio = Math.Abs(InteractionRatioPMM);
}
break;
case CombinationCaseId.H2:
InteractionRatioPMM = N + Mx + My;
InteractionRatioV = T + V;
if (InteractionRatioV != 0)
{
InteractionRatio = Math.Min(Math.Abs(InteractionRatioPMM), Math.Abs(InteractionRatioV));
}
else
{
InteractionRatio = Math.Abs(InteractionRatioPMM);
}
break;
case CombinationCaseId.H3:
InteractionRatioPMM = N / 2 + (Mx + My); //H2-1
break;
case CombinationCaseId.Linear:
InteractionRatio = N + Mx + My+T+V;
break;
case CombinationCaseId.Elliptical:
InteractionRatio = Math.Pow(N, 2) + Math.Pow(Mx, 2) + Math.Pow(My, 2) + Math.Pow(V, 2) + Math.Pow(T, 2);
break;
case CombinationCaseId.Cubic: //Used in Design Guide 2 for web openings
InteractionRatio = Math.Pow(N, 3) + Math.Pow(Mx, 3) + Math.Pow(My, 3) + Math.Pow(V, 3) + Math.Pow(T, 3);
break;
case CombinationCaseId.Anchorage:
InteractionRatio = Math.Pow(N, 5.0 / 3.0) + Math.Pow(Mx, 5.0 / 3.0) + Math.Pow(My, 5.0 / 3.0) + Math.Pow(V, 5.0 / 3.0) + Math.Pow(T, 5.0 / 3.02);
break;
case CombinationCaseId.Plastic:
// BO DOWSWELL
//Plastic Strength of Connection Elements
//ENGINEERING JOURNAL / FIRST QUARTER / 2015
InteractionRatio = Math.Pow(N, 2) + Math.Pow(Mx, 1.7) + Math.Pow(My,1.7) + Math.Pow(V, 4) + Math.Pow(T, 2);
break;
default:
InteractionRatio = Math.Pow(N, 2) + Math.Pow(Mx, 1.7) + Math.Pow(My, 1.7) + Math.Pow(V, 4) + Math.Pow(T, 2);
break;
}
return InteractionRatio;
}
