/// <summary>
/// Calculates the safety factor.
/// </summary>
/// <param name="inNMM">The acting forces.</param>
/// <returns>Safety factor. Resistance forces to acting forces ratio.</returns>
public double SafetyFactor(InternalForcesContainer inNMM)
{
double safetyFactor = -1.0;
solver.SolveResistance(inNMM.ForceFx, -inNMM.MomentMy, inNMM.MomentMz);
SetOfForces solveNMM = solver.GetInternalForces(Autodesk.CodeChecking.Concrete.ResultType.Section);
if (Math.Abs(inNMM.ForceFx) > Math.Abs(inNMM.MomentMy))
{
if (Math.Abs(inNMM.ForceFx) > Math.Abs(inNMM.MomentMz))
{
safetyFactor = solveNMM.AxialForce / inNMM.ForceFx;
}
else
{
safetyFactor = solveNMM.MomentY / inNMM.MomentMz;
}
}
else if (Math.Abs(inNMM.MomentMy) > Math.Abs(inNMM.MomentMz))
{
safetyFactor = solveNMM.MomentX / -inNMM.MomentMy;
}
else
{
safetyFactor = solveNMM.MomentY / inNMM.MomentMz;
}
return(safetyFactor);
}
/// <summary>
/// Case 14: Calculation of capacity state in symmetric section for bidirectional bending with axial force
/// </summary>
public void Case14()
{
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.3, 0.0);
geometry.Add(0.3, 0.45);
geometry.Add(0.0, 0.45);
// rebars definition
List <Rebar> rebars = new List <Rebar>();
rebars.Add(new Rebar(0.15, 0.04, 0.025977 * 0.025977 * Math.PI / 4.0));
// concrete parameters
Concrete concrete = new Concrete();
concrete.SetStrainStressModelRectangular(21.36e6, 0.0035, 35e9, 0.8);
// steel parameters
Steel steel = new Steel();
steel.SetModelIdealElastoPlastic(310e6, 0.01, 200e9);
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistance(200E3, -96E3, -24E3);
// result for rebars
SetOfForces forcesRebar = solver.GetInternalForces(ResultType.Rebars);
// result for concrete
SetOfForces forcesConcrete = solver.GetInternalForces(ResultType.Concrete);
Point2D Gcc = solver.GetStressGravityCenter(ResultType.Concrete);
double Acc = solver.GetConcreteStressArea();
// result for RC section
SetOfForces forces = solver.GetInternalForces(ResultType.Section);
double angle = solver.GetNeutralAxisAngle();
double dist = solver.GetNeutralAxisDistance();
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 14: Calculation of capacity state in symmetric section for bidirectional bending with axial force ");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("Ns", forcesRebar.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxs", forcesRebar.MomentX, 6));
sb.AppendLine(FormatOutput("Mys", forcesRebar.MomentY, 6));
sb.AppendLine(FormatOutput("Ac", Acc, 6));
sb.AppendLine(FormatOutput("Gcx", Gcc.X, 6));
sb.AppendLine(FormatOutput("Gcy", Gcc.Y, 6));
sb.AppendLine(FormatOutput("Nc", forcesConcrete.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxc", forcesConcrete.MomentX, 6));
sb.AppendLine(FormatOutput("Myc", forcesConcrete.MomentY, 6));
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
sb.AppendLine(FormatOutput("dist", dist, 6));
sb.AppendLine(FormatOutput("angle", angle, 6));
}
/// <summary>
/// Case 12: Calculation of capacity state in symmetric section for bending moment Mx with axial force
/// </summary>
public void Case12()
{
// Case 12a
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.3, 0.0);
geometry.Add(0.3, 0.6);
geometry.Add(0.0, 0.6);
// rebars definition
List <Rebar> rebars = new List <Rebar>();
double rebarArea = 0.012 * 0.012 * Math.PI / 4.0;
rebars.Add(new Rebar(0.05, 0.05, rebarArea));
rebars.Add(new Rebar(0.05, 0.55, rebarArea));
rebars.Add(new Rebar(0.25, 0.55, rebarArea));
rebars.Add(new Rebar(0.25, 0.05, rebarArea));
// concrete parameters
Concrete concrete = new Concrete();
concrete.SetStrainStressModelLinear(20e6, 0.0035, 30e9);
// steel parameters
Steel steel = new Steel();
steel.SetModelIdealElastoPlastic(500e6, 0.075, 200e9);
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistance(43979.98E3, -3465.40E3, 0);
// result for rebars
SetOfForces forcesRebar = solver.GetInternalForces(ResultType.Rebars);
// result for concrete
SetOfForces forcesConcrete = solver.GetInternalForces(ResultType.Concrete);
Point2D Gcc = solver.GetStressGravityCenter(ResultType.Concrete);
double Acc = solver.GetConcreteStressArea();
// result for RC section
SetOfForces forces = solver.GetInternalForces(ResultType.Section);
double angle = solver.GetNeutralAxisAngle();
double dist = solver.GetNeutralAxisDistance();
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 12a: Calculation of capacity state in symmetric section for bending moment Mx with axial force ");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("Ns", forcesRebar.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxs", forcesRebar.MomentX, 6));
sb.AppendLine(FormatOutput("Mys", forcesRebar.MomentY, 6));
sb.AppendLine(FormatOutput("Ac", Acc, 6));
sb.AppendLine(FormatOutput("Gcx", Gcc.X, 6));
sb.AppendLine(FormatOutput("Gcy", Gcc.Y, 6));
sb.AppendLine(FormatOutput("Nc", forcesConcrete.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxc", forcesConcrete.MomentX, 6));
sb.AppendLine(FormatOutput("Myc", forcesConcrete.MomentY, 6));
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
sb.AppendLine(FormatOutput("dist", dist, 6));
sb.AppendLine(FormatOutput("angle", angle, 6));
// Case 12b
// rebars definition
rebars.Clear();
rebarArea = 0.016 * 0.016 * Math.PI / 4.0;
rebars.Add(new Rebar(0.05, 0.05, rebarArea));
rebars.Add(new Rebar(0.05, 0.55, rebarArea));
rebars.Add(new Rebar(0.25, 0.55, rebarArea));
rebars.Add(new Rebar(0.25, 0.05, rebarArea));
// concrete parameters
concrete.SetStrainStressModelBiLinear(30e6, 0.0035, 32e9, 0.0020);
// steel parameters
steel.DesignStrength = 400e6;
steel.HardeningFactor = 1.0;
steel.ModulusOfElasticity = 205e9;
steel.StrainUltimateLimit = 0.1;
// solver parameterization
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistance(114.8397E3, -5.634275E3, 0);
// result for rebars
forcesRebar = solver.GetInternalForces(ResultType.Rebars);
// result for concrete
forcesConcrete = solver.GetInternalForces(ResultType.Concrete);
Gcc = solver.GetStressGravityCenter(ResultType.Concrete);
Acc = solver.GetConcreteStressArea();
// result for RC section
forces = solver.GetInternalForces(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 12b:Calculation of capacity state in symmetric section for bending moment Mx with axial force");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("Ns", forcesRebar.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxs", forcesRebar.MomentX, 6));
sb.AppendLine(FormatOutput("Mys", forcesRebar.MomentY, 6));
sb.AppendLine(FormatOutput("Ac", Acc, 6));
sb.AppendLine(FormatOutput("Gcx", Gcc.X, 6));
sb.AppendLine(FormatOutput("Gcy", Gcc.Y, 6));
sb.AppendLine(FormatOutput("Nc", forcesConcrete.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxc", forcesConcrete.MomentX, 6));
sb.AppendLine(FormatOutput("Myc", forcesConcrete.MomentY, 6));
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
// Case 12c
// concrete parameters
concrete.SetStrainStressModelPowerRectangular(30e6, 0.0035, 32e9, 0.002, 1.4);
// steel parameters
steel.DesignStrength = 400e6;
steel.HardeningFactor = 1.0;
steel.ModulusOfElasticity = 200e9;
steel.StrainUltimateLimit = 0.1;
// solver parameterization
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistance(4.41023E3, -0.1662045455E3, 0);
// result for rebars
forcesRebar = solver.GetInternalForces(ResultType.Rebars);
// result for concrete
forcesConcrete = solver.GetInternalForces(ResultType.Concrete);
Gcc = solver.GetStressGravityCenter(ResultType.Concrete);
Acc = solver.GetConcreteStressArea();
// result for RC section
forces = solver.GetInternalForces(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 12c: Calculation of capacity state in symmetric section for bending moment Mx with axial force ");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("Ns", forcesRebar.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxs", forcesRebar.MomentX, 6));
sb.AppendLine(FormatOutput("Mys", forcesRebar.MomentY, 6));
sb.AppendLine(FormatOutput("Ac", Acc, 6));
sb.AppendLine(FormatOutput("Gcx", Gcc.X, 6));
sb.AppendLine(FormatOutput("Gcy", Gcc.Y, 6));
sb.AppendLine(FormatOutput("Nc", forcesConcrete.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxc", forcesConcrete.MomentX, 6));
sb.AppendLine(FormatOutput("Myc", forcesConcrete.MomentY, 6));
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
}
/// <summary>
/// Case 15: Calculation of capacity state in asymmetric section for bidirectional bending with axial force
/// </summary>
public void Case15()
{
// Case 15a
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.00, 0.00);
geometry.Add(0.00, 0.60);
geometry.Add(0.25, 0.60);
geometry.Add(0.25, 0.25);
geometry.Add(0.70, 0.25);
geometry.Add(0.70, 0.00);
// rebars definition
List <Rebar> rebars = new List <Rebar>();
double rebarArea = 0.020 * 0.020 * Math.PI / 4.0;
rebars.Add(new Rebar(0.05, 0.05, rebarArea));
rebars.Add(new Rebar(0.05, 0.55, rebarArea));
rebars.Add(new Rebar(0.20, 0.55, rebarArea));
rebars.Add(new Rebar(0.20, 0.05, rebarArea));
rebars.Add(new Rebar(0.65, 0.05, rebarArea));
rebars.Add(new Rebar(0.65, 0.20, rebarArea));
rebars.Add(new Rebar(0.05, 0.20, rebarArea));
// concrete parameters
Concrete concrete = new Concrete();
concrete.SetStrainStressModelRectangular(20e6, 0.0035, 35e9, 0.8);
// steel parameters
Steel steel = new Steel();
steel.SetModelIdealElastoPlastic(310e6, 0.075, 200e9);
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistance(72.4471E3, -28.9825E3, 2.5743E3);
// result for rebars
SetOfForces forcesRebar = solver.GetInternalForces(ResultType.Rebars);
// result for concrete
SetOfForces forcesConcrete = solver.GetInternalForces(ResultType.Concrete);
Point2D Gcc = solver.GetStressGravityCenter(ResultType.Concrete);
double Acc = solver.GetConcreteStressArea();
// result for RC section
SetOfForces forces = solver.GetInternalForces(ResultType.Section);
double angle = solver.GetNeutralAxisAngle();
double dist = solver.GetNeutralAxisDistance();
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 15a: Calculation of capacity state in asymmetric section for bidirectional bending with axial force ");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("Ns", forcesRebar.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxs", forcesRebar.MomentX, 6));
sb.AppendLine(FormatOutput("Mys", forcesRebar.MomentY, 6));
sb.AppendLine(FormatOutput("Ac", Acc, 6));
sb.AppendLine(FormatOutput("Gcx", Gcc.X, 6));
sb.AppendLine(FormatOutput("Gcy", Gcc.Y, 6));
sb.AppendLine(FormatOutput("Nc", forcesConcrete.AxialForce, 6));
sb.AppendLine(FormatOutput("Mxc", forcesConcrete.MomentX, 6));
sb.AppendLine(FormatOutput("Myc", forcesConcrete.MomentY, 6));
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
sb.AppendLine(FormatOutput("dist", dist, 6));
sb.AppendLine(FormatOutput("angle", angle, 6));
// Case 15b
// concrete parameters (rectangular)
concrete.SetStrainStressModelRectangular(20e6, 0.0035, 35e9, 0.8);
// solver parameterization
solver.SetConcrete(concrete);
//calulation
solver.SolveResistance(72.4471E3, -28.9825E3, 2.5743E3);
// result for RC section
forces = solver.GetInternalForces(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 15b: Calculation of capacity state in asymmetric section for bidirectional bending with axial force (rectangular)");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
// concrete parameters(linear)
concrete.SetStrainStressModelLinear(25e6, 0.0035, 32e9);
// solver parameterization
solver.SetConcrete(concrete);
//calulation
solver.SolveResistance(72.4471E3, -28.9825E3, 2.5743E3);
// result for RC section
forces = solver.GetInternalForces(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 15b: Calculation of capacity state in asymmetric section for bidirectional bending with axial force (linear)");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
// concrete parameters (bilinear)
concrete.SetStrainStressModelBiLinear(25e6, 0.0035, 32e9, 0.0020);
// solver parameterization
solver.SetConcrete(concrete);
//calulation
solver.SolveResistance(72.4471E3, -28.9825E3, 2.5743E3);
// result for RC section
forces = solver.GetInternalForces(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 15b: Calculation of capacity state in asymmetric section for bidirectional bending with axial force (bilinear)");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
// concrete parameters (parabolic-rectangular)
concrete.SetStrainStressModelParabolicRectangular(25e6, 0.0035, 32e9, 0.0020);
// solver parameterization
solver.SetConcrete(concrete);
//calulation
solver.SolveResistance(72.4471E3, -28.9825E3, 2.5743E3);
// result for RC section
forces = solver.GetInternalForces(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 15b: Calculation of capacity state in asymmetric section for bidirectional bending with axial force (parabolic-rectangular)");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
// concrete parameters (power-rectangular)
concrete.SetStrainStressModelPowerRectangular(25e6, 0.0035, 32e9, 0.002, 1.5);
// solver parameterization
solver.SetConcrete(concrete);
//calulation
solver.SolveResistance(72.4471E3, -28.9825E3, 2.5743E3);
// result for RC section
forces = solver.GetInternalForces(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 15b: Calculation of capacity state in asymmetric section for bidirectional bending with axial force (parabolic-rectangular)");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("N", forces.AxialForce, 6));
sb.AppendLine(FormatOutput("Mx", forces.MomentX, 6));
sb.AppendLine(FormatOutput("My", forces.MomentY, 6));
}
