/// <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));
}
/// <structural_toolkit_2015>
/// <summary>
/// Calculate the moment of inertia for cracking section.
/// </summary>
/// <param name="inNMM">The acting forces.</param>
/// <returns>Returns moment of inertia for cracking section.</returns>
public double InertiaOfCrackingSection(InternalForcesContainer inNMM)
{
double momentOfInertiaCrackingConcreteSection = 0.0;
SafetyFactor(inNMM);
SetOfForces solverNMM = solver.GetInternalForces(Autodesk.CodeChecking.Concrete.ResultType.Section);
double neutralAxisDist = solver.GetNeutralAxisDistance();
double stressArea = solver.GetConcreteStressArea();
double comprHeight = 0.5 * totalHeight + neutralAxisDist;
Steel steel = solver.GetSteel();
Autodesk.CodeChecking.Concrete.Concrete concrete = solver.GetConcrete();
double n = steel.ModulusOfElasticity / concrete.ModulusOfElasticity;
switch (crossSectionType)
{
case SectionShapeType.RectangularBar:
{
momentOfInertiaCrackingConcreteSection = comprHeight * comprHeight * stressArea / 3.0; // bh^3/12 + b*h*(0.5*h)^2, b*h=stressArea
}
break;
default:
throw new Exception("InertiaOfCrackingSection. Unhandled cross section type. Only rectangular cross-section can be used on this path. 3th party implementation is necessary.");
}
foreach (Rebar bar in solver.GetRebars())
{
momentOfInertiaCrackingConcreteSection += n * bar.Area * Math.Pow((bar.Y + neutralAxisDist), 2);
}
return(momentOfInertiaCrackingConcreteSection);
}
/// <summary>
/// Case 9: Calculation of internal forces in symmetric section for given state of strain with inclined neutral axis
/// </summary>
public void Case9()
{
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.0, 0.6);
geometry.Add(0.3, 0.6);
geometry.Add(0.3, 0.0);
// 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.SetStrainStressModelBiLinear(25e6, 0.003, 28e9, 0.002);
// steel parameters
Steel steel = new Steel();
steel.SetModelIdealElastoPlastic(550e6, 0.1, 200e9);
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveForces(ResultType.Section, 0.0025, -0.00383423, 0.34906585);
// 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);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 9: Calculation of internal forces in symmetric section for given state of strain with inclined neutral axis ");
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>
/// Calculate the moment of inertia for cracking section.
/// </summary>
/// <param name="inNMM">The acting forces.</param>
/// <returns>Returns moment of inertia for cracking section.</returns>
public double InertiaOfCrackingSection(InternalForcesContainer inNMM)
{
double momentOfInertiaCrackingConcreteSection = 0.0;
solver.SolveResistance(inNMM.ForceFx, inNMM.MomentMy, 0.0);
SetOfForces solverNMM = solver.GetInternalForces(Autodesk.CodeChecking.Concrete.ResultType.Section);
double neutralAxisDist = solver.GetNeutralAxisDistance();
double centerOfInertiaY = solverGeometry.CenterOfInertia.Y;
double stressArea = solver.GetConcreteStressArea();
double comprHeight = -neutralAxisDist;
Steel steel = solver.GetSteel();
Autodesk.CodeChecking.Concrete.Concrete concrete = solver.GetConcrete();
double bottomWidth = solverGeometry.Point(1).X - solverGeometry.Point(0).X;
double n = steel.ModulusOfElasticity / concrete.ModulusOfElasticity;
momentOfInertiaCrackingConcreteSection = comprHeight * comprHeight * comprHeight * bottomWidth / 3.0; // bh^3/12 + b*h*(0.5*h)^2
momentOfInertiaCrackingConcreteSection += n * (solver.GetMomentOfInertiaX(Autodesk.CodeChecking.Concrete.ResultType.Rebars) + Math.Abs(neutralAxisDist) * solver.GetArea(Autodesk.CodeChecking.Concrete.ResultType.Rebars));
switch (crossSectionType)
{
case SectionShapeType.RectangularBar:
break;
case SectionShapeType.T:
{
bool bottomMoreCompression = inNMM.MomentMy >= 0.0;
double TotalWidth = solverGeometry.Point(4).X - solverGeometry.Point(5).X;
if (bottomMoreCompression)
{
double WithoutSlabHeight = solverGeometry.Point(2).Y - solverGeometry.Point(1).Y;
if (comprHeight > WithoutSlabHeight)
{
double partT = (comprHeight - WithoutSlabHeight);
momentOfInertiaCrackingConcreteSection += Math.Pow(comprHeight - 0.5 * partT, 2) * (TotalWidth - bottomWidth);
momentOfInertiaCrackingConcreteSection += (TotalWidth - bottomWidth) * partT * partT * partT / 12.0;
}
}
else
{
double SlabHeight = solverGeometry.Point(4).Y - solverGeometry.Point(3).Y;
SlabHeight = Math.Min(SlabHeight, comprHeight);
momentOfInertiaCrackingConcreteSection += Math.Pow(comprHeight - 0.5 * SlabHeight, 2) * (TotalWidth - bottomWidth);
momentOfInertiaCrackingConcreteSection += (TotalWidth - bottomWidth) * SlabHeight * SlabHeight * SlabHeight / 12.0;
}
}
break;
default:
throw new Exception("InertiaOfCrackingSection. Unhandled cross section type. Only R and T cross-sections can be used on this path.");
}
return(momentOfInertiaCrackingConcreteSection);
}
/// <summary>
/// Case 4: Calculation of internal forces for given state of strain in the section and bilinear model of concrete
/// Case 4a, Case 4b and Case 4c - common geometry, concrete and steel parameters different rebars and calculation
/// </summary>
public void Case4()
{
// Case 4a:
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.0, 0.6);
geometry.Add(0.3, 0.6);
geometry.Add(0.3, 0.0);
// rebars definition
List <Rebar> rebars = new List <Rebar>();
double 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 concrete = new Concrete();
concrete.SetStrainStressModelBiLinear(30e6, 0.0035, 32e9, 0.002);
// steel parameters
Steel steel = new Steel();
steel.SetModelIdealElastoPlastic(400e6, 0.1, 205e9);
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveForces(ResultType.Section, 0.0035, 0.0005);
// 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);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 4a: Calculation of internal forces for given state of strain in the section and bilinear model of concrete ");
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));
output.Text = output.Text + sb.AppendLine();
//
// Case 4b
rebars.Clear();
rebarArea = 0.032 * 0.032 * 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));
solver.SetRebars(rebars);
//calulation
solver.SolveForces(ResultType.Section, 0.0035, -0.02936558);
// 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 4b: Calculation of internal forces for given state of strain in the section and bilinear model of concrete ");
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));
output.Text = output.Text + sb.AppendLine();
//
// Case 4c
rebars.Clear();
rebarArea = 0.032 * 0.032 * Math.PI / 4.0;
rebars.Add(new Rebar(0.05, 0.05, rebarArea));
rebars.Add(new Rebar(0.25, 0.05, rebarArea));
solver.SetRebars(rebars);
//calulation
solver.SolveForces(ResultType.Section, 0.0015, -0.002);
// 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 4c: Calculation of internal forces for given state of strain in the section and bilinear model of concrete ");
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));
output.Text = output.Text + sb.AppendLine();
}
/// <summary>
/// Case 16: Calculation of capacity state in symmetric section for fixed axial force
/// </summary>
public void Case16()
{
// Case 16a
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.0, 0.6);
geometry.Add(0.3, 0.6);
geometry.Add(0.3, 0.0);
// rebars definition
List <Rebar> rebars = new List <Rebar>();
double rebarArea = 0.040 * 0.040 * Math.PI / 4.0;
rebars.Add(new Rebar(0.03, 0.03, rebarArea));
rebars.Add(new Rebar(0.03, 0.57, rebarArea));
rebars.Add(new Rebar(0.27, 0.57, rebarArea));
rebars.Add(new Rebar(0.27, 0.03, rebarArea));
// concrete parameters
Concrete concrete = new Concrete();
concrete.SetStrainStressModelRectangular(17.12e6, 0.0035, 32e9, 0.8);
// steel parameters
Steel steel = new Steel();
steel.SetModelIdealElastoPlastic(310e6, 0.025, 200e9);
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistanceM(678E3, Axis.x, false);
// 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 16a: Calculation of capacity state in symmetric section for fixed 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 16b
// geometry definition
geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.0, 0.3);
geometry.Add(0.6, 0.3);
geometry.Add(0.6, 0.0);
// rebars definition
rebars.Clear();
rebarArea = 0.036 * 0.036 * Math.PI / 4.0;
rebars.Add(new Rebar(0.09, 0.06, rebarArea));
rebars.Add(new Rebar(0.09, 0.12, rebarArea));
rebars.Add(new Rebar(0.09, 0.18, rebarArea));
rebars.Add(new Rebar(0.09, 0.24, rebarArea));
rebars.Add(new Rebar(0.51, 0.06, rebarArea));
rebars.Add(new Rebar(0.51, 0.12, rebarArea));
rebars.Add(new Rebar(0.51, 0.18, rebarArea));
rebars.Add(new Rebar(0.51, 0.24, rebarArea));
// steel parameters
steel = new Steel();
steel.DesignStrength = 420e6;
steel.HardeningFactor = 1.0;
steel.ModulusOfElasticity = 200e9;
steel.StrainUltimateLimit = 0.025;
// solver creation and parameterization
solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistanceM(1700E3, Axis.y, true);
// 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);
angle = solver.GetNeutralAxisAngle();
dist = solver.GetNeutralAxisDistance();
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 16b: Calculation of capacity state in symmetric section for fixed 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 10: Calculation of capacity state in symmetric section for bending moment Mx
/// </summary>
public void Case10()
{
// Case 10a
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.0, 0.6);
geometry.Add(0.3, 0.6);
geometry.Add(0.3, 0.0);
// 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(0.25, 0.05, rebarArea));
// concrete parameters
Concrete concrete = new Concrete();
concrete.SetStrainStressModelRectangular(20e6, 0.0035, 30e9, 0.9);
// 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.SolveResistanceM(0, Axis.x, false);
// 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 10a: Calculation of internal forces in symmetric section for given state of strain with inclined neutral axis");
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 10b
// rebars definition
rebarArea = 0.032 * 0.032 * Math.PI / 4.0;
rebars.Clear();
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.SetStrainStressModelParabolicRectangular(30e6, 0.0035, 32e9, 0.0020);
// steel parameters
steel.DesignStrength = 400e6;
steel.StrainUltimateLimit = 0.1;
// solver parameterization
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveResistanceM(0, Axis.x, false);
// 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 10b: Calculation of internal forces in symmetric section for given state of strain with inclined neutral axis ");
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 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 7 Calculation of internal forces for given state of strain in the section and inclined branch model of steel
/// </summary>
public void Case7()
{
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.0, 0.6);
geometry.Add(0.3, 0.6);
geometry.Add(0.3, 0.0);
// rebars definition
List <Rebar> rebars = new List <Rebar>();
rebars.Add(new Rebar(0.05, 0.05, 0.032 * 0.032 * Math.PI / 4.0));
rebars.Add(new Rebar(0.15, 0.05, 0.032 * 0.032 * Math.PI / 4.0));
rebars.Add(new Rebar(0.25, 0.05, 0.032 * 0.032 * Math.PI / 4.0));
rebars.Add(new Rebar(0.05, 0.15, 0.020 * 0.020 * Math.PI / 4.0));
rebars.Add(new Rebar(0.25, 0.15, 0.020 * 0.020 * Math.PI / 4.0));
rebars.Add(new Rebar(0.05, 0.55, 0.012 * 0.012 * Math.PI / 4.0));
rebars.Add(new Rebar(0.25, 0.55, 0.012 * 0.012 * Math.PI / 4.0));
// concrete parameters
Concrete concrete = new Concrete();
concrete.SetStrainStressModelLinear(20e6, 0.0035, 30e9);
// steel parameters
Steel steel = new Steel();
steel.SetModelWithHardening(500e6, 0.075, 200e9, 1.05);
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
//calulation
solver.SolveForces(ResultType.Section, 0.0035, -0.0070);
// 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);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 7 Calculation of internal forces for given state of strain in the section and inclined branch model of steel ");
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));
}