public override SteelLimitStateValue GetFlexuralLegOrStemBucklingStrength(FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
CompactnessClassFlexure StemCompactness = this.Compactness.GetWebCompactnessFlexure();
// for compact angles this limit state is not applicable
SteelLimitStateValue ls = null;
if (StemCompactness == General.Compactness.CompactnessClassFlexure.Compact)
{
ls = new SteelLimitStateValue(-1, false);
return(ls);
}
else if (StemCompactness == CompactnessClassFlexure.Noncompact)
{
double S_c = GetSectionModulus(CompressionLocation, true, BracingType);
//F10-7
double M_n = F_y * S_c * (2.43 - 1.72 * (((b) / (t))) * Math.Sqrt(((F_y) / (E))));
double phiM_n = 0.9 * M_n;
ls = new SteelLimitStateValue(phiM_n, true);
}
else
{
double F_cr = ((0.71 * E) / (Math.Pow((((b) / (t))), 2)));
double S_c = GetSectionModulus(CompressionLocation, true, BracingType);
//(F10-8)
double M_n = F_cr * S_c;
double phiM_n = 0.9 * M_n;
ls = new SteelLimitStateValue(phiM_n, true);
}
return(ls);
}
private double GetYieldingMomentGeometricXCapacity(FlexuralCompressionFiberPosition compressionFiberLocation, FlexuralAndTorsionalBracingType BracingType)
{
double S_x = GetSectionModulus(compressionFiberLocation, false, BracingType);
double Fy = Section.Material.YieldStress;
double My = S_x * Fy;
return My;
}
public virtual SteelLimitStateValue GetFlexuralLegOrStemBucklingStrength(FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
SteelLimitStateValue ls = new SteelLimitStateValue(-1, false);
return(ls);
}
public override SteelLimitStateValue GetFlexuralLegOrStemBucklingStrength(FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
CompactnessClassFlexure StemCompactness = this.Compactness.GetWebCompactnessFlexure() ;
// for compact angles this limit state is not applicable
SteelLimitStateValue ls = null;
if (StemCompactness == General.Compactness.CompactnessClassFlexure.Compact)
{
ls = new SteelLimitStateValue(-1, false);
return ls;
}
else if (StemCompactness == CompactnessClassFlexure.Noncompact)
{
double S_c = GetSectionModulus(CompressionLocation, true, BracingType);
//F10-7
double M_n = F_y * S_c * (2.43 - 1.72 * (((b) / (t))) * Math.Sqrt(((F_y) / (E))));
double phiM_n = 0.9 * M_n;
ls = new SteelLimitStateValue(phiM_n, true);
}
else
{
double F_cr = ((0.71 * E) / (Math.Pow((((b) / (t))), 2)));
double S_c = GetSectionModulus(CompressionLocation, true, BracingType);
//(F10-8)
double M_n = F_cr * S_c;
double phiM_n = 0.9 * M_n;
ls = new SteelLimitStateValue(phiM_n, true);
}
return ls;
}
private double GetFlexuralTorsionalBucklingMomentCapacity(double L_b, double C_b,
FlexuralCompressionFiberPosition CompressionLocation, FlexuralAndTorsionalBracingType BracingType, MomentAxis MomentAxis)
{
double M_n = 0.0;
double M_n1 = 0.0;
double M_n2 = 0.0;
double M_e = GetM_e(L_b, C_b, CompressionLocation, BracingType, MomentAxis);
double M_y = GetYieldingMomentGeometricXCapacity(CompressionLocation, BracingType);
if (M_e<=M_y)
{
//F10-2
M_n1=(0.92-((0.17*M_e) / (M_y)))*M_e;
}
else
{
//F10-3
M_n1=(1.92-1.17*Math.Sqrt(((M_y) / (M_e))))*M_y;
}
M_n2 = 1.5*M_y;
M_n= Math.Min(M_n1,M_n2);
double phiM_n = 0.9 * M_n;
return phiM_n;
}
public override SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
SteelLimitStateValue ls;
if (BracingType == FlexuralAndTorsionalBracingType.FullLateralBracing)
{
ls = new SteelLimitStateValue(-1, false);
}
else
{
double phiM_n = GetLateralTorsionalBucklingStrength(CompressionLocation,L_b, C_b);
ls = new SteelLimitStateValue(phiM_n, true);
}
return ls;
}
public override SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
if (SectionValuesWereCalculated == false)
{
GetSectionValues();
}
SteelLimitStateValue ls;
if (BracingType == FlexuralAndTorsionalBracingType.FullLateralBracing)
{
ls = new SteelLimitStateValue(-1, false);
}
else
{
double phiM_n = GetFlexuralTorsionalBucklingMomentCapacity(L_b, C_b);
ls = new SteelLimitStateValue(phiM_n, true);
}
return ls;
}
protected double GetSectionModulus(FlexuralCompressionFiberPosition compressionFiberLocation, bool UseCompressionSectionModulusOnly, FlexuralAndTorsionalBracingType BracingType)
{
double Sxt = GetSectionModulusTensionSxt(compressionFiberLocation);
double Sxc = GetSectionModulusCompressionSxc(compressionFiberLocation);
double Sx;
if (UseCompressionSectionModulusOnly == true)
{
Sx=Sxc;
}
else
{
Sx=Math.Min(Sxc, Sxt);
}
if (BracingType == FlexuralAndTorsionalBracingType.NoLateralBracing)
{
Sx = 0.8 * Sx;
}
return Sx;
}
public virtual SteelLimitStateValue GetFlexuralLegOrStemBucklingStrength(FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
SteelLimitStateValue ls = new SteelLimitStateValue(-1, false);
return ls;
}
private double GetM_e(double L_b, double C_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType, MomentAxis MomentAxis)
{
double M_e;
if (MomentAxis == MomentAxis.MajorPrincipalAxis)
{
if (IsEqualLeg == true)
{
M_e = ((0.46 * E * Math.Pow(b, 2) * Math.Pow(t, 2) * C_b) / (L_b)); //F10-4
}
else
{
double beta_wCorrected;
//F10-5
if (CompressionLocation == FlexuralCompressionFiberPosition.Top)
{
if (AngleRotation == AngleRotation.FlatLegBottom)
{
if (d < b) //short leg in compression
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
else
{
if (d > b) //short leg in compression
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
}
else if (CompressionLocation == FlexuralCompressionFiberPosition.Bottom)
{
if (AngleRotation == AngleRotation.FlatLegBottom)
{
if (d > b)
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
else
{
if (d < b)
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
}
else
{
throw new CompressionFiberPositionException();
}
M_e = ((4.9 * E * I_z * C_b) / (Math.Pow(L_b, 2))) * (Math.Sqrt(Math.Pow(beta_wCorrected, 2) + 0.052 * Math.Pow((((L_b * t) / (r_z))), 2)) + beta_wCorrected);
}
}
else
{
if (CompressionLocation == FlexuralCompressionFiberPosition.Top)
{
//F10-6a
M_e = ((0.66 * E * Math.Pow(b, 4) * t * C_b) / (Math.Pow(L_b, 2))) * (Math.Sqrt(1 + 0.78 * Math.Pow((((L_b * t) / (Math.Pow(b, 2)))), 2)) - 1);
}
else
{
//F10-6b
M_e = ((0.66 * E * Math.Pow(b, 4) * t * C_b) / (Math.Pow(L_b, 2))) * (Math.Sqrt(1 + 0.78 * Math.Pow((((L_b * t) / (Math.Pow(b, 2)))), 2)) + 1);
}
if (BracingType == FlexuralAndTorsionalBracingType.AtPointOfMaximumMoment)
{
M_e = 1.25 * M_e;
}
}
return(M_e);
}
private double GetFlexuralTorsionalBucklingMomentCapacity(double L_b, double C_b,
FlexuralCompressionFiberPosition CompressionLocation, FlexuralAndTorsionalBracingType BracingType, MomentAxis MomentAxis)
{
double M_n = 0.0;
double M_n1 = 0.0;
double M_n2 = 0.0;
double M_e = GetM_e(L_b, C_b, CompressionLocation, BracingType, MomentAxis);
double M_y = GetYieldingMomentGeometricXCapacity(CompressionLocation, BracingType);
if (M_e <= M_y)
{
//F10-2
M_n1 = (0.92 - ((0.17 * M_e) / (M_y))) * M_e;
}
else
{
//F10-3
M_n1 = (1.92 - 1.17 * Math.Sqrt(((M_y) / (M_e)))) * M_y;
}
M_n2 = 1.5 * M_y;
M_n = Math.Min(M_n1, M_n2);
double phiM_n = 0.9 * M_n;
return(phiM_n);
}
private double GetM_e(double L_b, double C_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType, MomentAxis MomentAxis)
{
double M_e;
if (MomentAxis == MomentAxis.MajorPrincipalAxis)
{
if (IsEqualLeg == true)
{
M_e = ((0.46 * E * Math.Pow(b, 2) * Math.Pow(t, 2) * C_b) / (L_b)); //F10-4
}
else
{
double beta_wCorrected;
//F10-5
if (CompressionLocation == FlexuralCompressionFiberPosition.Top)
{
if (AngleRotation == AngleRotation.FlatLegBottom)
{
if (d < b) //short leg in compression
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
else
{
if (d > b) //short leg in compression
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
}
else if (CompressionLocation == FlexuralCompressionFiberPosition.Bottom)
{
if (AngleRotation == AngleRotation.FlatLegBottom)
{
if (d > b)
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
else
{
if (d < b)
{
beta_wCorrected = beta_w;
}
else
{
beta_wCorrected = -beta_w;
}
}
}
else
{
throw new CompressionFiberPositionException();
}
M_e = ((4.9 * E * I_z * C_b) / (Math.Pow(L_b, 2))) * (Math.Sqrt(Math.Pow(beta_wCorrected, 2) + 0.052 * Math.Pow((((L_b * t) / (r_z))), 2)) + beta_wCorrected);
}
}
else
{
if (CompressionLocation == FlexuralCompressionFiberPosition.Top)
{
//F10-6a
M_e = ((0.66 * E * Math.Pow(b, 4) * t * C_b) / (Math.Pow(L_b, 2))) * (Math.Sqrt(1 + 0.78 * Math.Pow((((L_b * t) / (Math.Pow(b, 2)))), 2)) - 1);
}
else
{
//F10-6b
M_e = ((0.66 * E * Math.Pow(b, 4) * t * C_b) / (Math.Pow(L_b, 2))) * (Math.Sqrt(1 + 0.78 * Math.Pow((((L_b * t) / (Math.Pow(b, 2)))), 2)) + 1);
}
if (BracingType == FlexuralAndTorsionalBracingType.AtPointOfMaximumMoment)
{
M_e = 1.25 * M_e;
}
}
return M_e;
}
public virtual SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType, MomentAxis MomentAxis)
{
double phiM_n = GetFlexuralTorsionalBucklingMomentCapacity(CompressionLocation, L_b);
SteelLimitStateValue ls = new SteelLimitStateValue(-1, false);
return(ls);
}
private double GetYieldingMomentGeometricXCapacity(FlexuralCompressionFiberPosition compressionFiberLocation, FlexuralAndTorsionalBracingType BracingType)
{
double S_x = GetSectionModulus(compressionFiberLocation, false, BracingType);
double Fy = Section.Material.YieldStress;
double My = S_x * Fy;
return(My);
}
protected double GetSectionModulus(FlexuralCompressionFiberPosition compressionFiberLocation, bool UseCompressionSectionModulusOnly, FlexuralAndTorsionalBracingType BracingType)
{
double Sxt = GetSectionModulusTensionSxt(compressionFiberLocation);
double Sxc = GetSectionModulusCompressionSxc(compressionFiberLocation);
double Sx;
if (UseCompressionSectionModulusOnly == true)
{
Sx = Sxc;
}
else
{
Sx = Math.Min(Sxc, Sxt);
}
if (BracingType == FlexuralAndTorsionalBracingType.NoLateralBracing)
{
Sx = 0.8 * Sx;
}
return(Sx);
}
public override SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
return base.GetFlexuralLateralTorsionalBucklingStrength(C_b, L_b, CompressionLocation, BracingType);
}
public override SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
return(base.GetFlexuralLateralTorsionalBucklingStrength(C_b, L_b, CompressionLocation, BracingType));
}
public override SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
SteelLimitStateValue ls = null;
double b, h;
if (sectionSolid is ISectionRound)
{
ls = new SteelLimitStateValue();
ls.IsApplicable = false;
ls.Value = -1;
return ls;
}
else if (sectionSolid is ISectionRectangular)
{
ISectionRectangular recangularShape = sectionSolid as ISectionRectangular;
if (MomentAxis == Common.Entities.MomentAxis.XAxis)
{
b = recangularShape.B ;
h = recangularShape.H;
}
else if (MomentAxis == Common.Entities.MomentAxis.YAxis)
{
b = recangularShape.H;
h = recangularShape.B;
}
else
{
throw new FlexuralBendingAxisException();
}
if (b >= h)
{
ls.IsApplicable = false;
ls.Value = -1;
}
else
{
ls = GetLateralTorsionalBucklingStrength(L_b, C_b);
}
}
else
{
throw new ShapeTypeNotSupportedException(" flexural calculation of solid-shape beam");
}
return ls;
}
public override SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
SteelLimitStateValue ls;
if (BracingType == FlexuralAndTorsionalBracingType.FullLateralBracing)
{
ls = new SteelLimitStateValue(-1, false);
}
else
{
double phiM_n = GetLateralTorsionalBucklingCapacity(CompressionLocation, L_b, C_b);
ls = new SteelLimitStateValue(phiM_n, true);
}
return(ls);
}
public override SteelLimitStateValue GetFlexuralLateralTorsionalBucklingStrength(double C_b, double L_b, FlexuralCompressionFiberPosition CompressionLocation,
FlexuralAndTorsionalBracingType BracingType)
{
SteelLimitStateValue ls = null;
double b, h;
if (sectionSolid is ISectionRound)
{
ls = new SteelLimitStateValue();
ls.IsApplicable = false;
ls.Value = -1;
return(ls);
}
else if (sectionSolid is ISectionRectangular)
{
ISectionRectangular recangularShape = sectionSolid as ISectionRectangular;
if (MomentAxis == Common.Entities.MomentAxis.XAxis)
{
b = recangularShape.B;
h = recangularShape.H;
}
else if (MomentAxis == Common.Entities.MomentAxis.YAxis)
{
b = recangularShape.H;
h = recangularShape.B;
}
else
{
throw new FlexuralBendingAxisException();
}
if (b >= h)
{
ls.IsApplicable = false;
ls.Value = -1;
}
else
{
ls = GetLateralTorsionalBucklingStrength(L_b, C_b);
}
}
else
{
throw new ShapeTypeNotSupportedException(" flexural calculation of solid-shape beam");
}
return(ls);
}