/// <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 1: Cross section characteristics
/// </summary>
public void Case1()
{
// geometry definition
Geometry geometry = new Geometry();
geometry.Add(0.0, 0.0);
geometry.Add(0.0, 0.2);
geometry.Add(0.2, 0.2);
geometry.Add(0.2, 0.6);
geometry.Add(0.5, 0.6);
geometry.Add(0.5, 0.3);
geometry.Add(0.8, 0.3);
geometry.Add(0.8, 0.0);
// rebars definition
List <Rebar> rebars = new List <Rebar>();
// rebar area A = d*d*pi/4
rebars.Add(new Rebar(0.05, 0.05, 0.010 * 0.010 * Math.PI / 4.0));
rebars.Add(new Rebar(0.75, 0.05, 0.012 * 0.012 * Math.PI / 4.0));
rebars.Add(new Rebar(0.75, 0.25, 0.020 * 0.020 * Math.PI / 4.0));
rebars.Add(new Rebar(0.45, 0.55, 0.050 * 0.050 * Math.PI / 4.0));
rebars.Add(new Rebar(0.25, 0.55, 0.020 * 0.020 * Math.PI / 4.0));
rebars.Add(new Rebar(0.05, 0.15, 0.015 * 0.015 * Math.PI / 4.0));
// concrete parameters
Concrete concrete = new Concrete();
concrete.ModulusOfElasticity = 30e9;
// steel parameters
Steel steel = new Steel();
steel.ModulusOfElasticity = 200e9;
// solver creation and parameterization
RCSolver solver = RCSolver.CreateNewSolver(geometry);
solver.SetRebars(rebars);
solver.SetConcrete(concrete);
solver.SetSteel(steel);
// result for concrete
double Ac = solver.GetArea(ResultType.Concrete);
Point2D Cc = solver.GetCenterOfInertia(ResultType.Concrete);
double Icx = solver.GetMomentOfInertiaX(ResultType.Concrete);
double Icy = solver.GetMomentOfInertiaY(ResultType.Concrete);
// result for rebars
double As = solver.GetArea(ResultType.Rebars);
Point2D Cs = solver.GetCenterOfInertia(ResultType.Rebars);
double Isx = solver.GetMomentOfInertiaX(ResultType.Rebars);
double Isy = solver.GetMomentOfInertiaY(ResultType.Rebars);
// result for reduced
double Aeff = solver.GetArea(ResultType.Section);
Point2D Ceff = solver.GetCenterOfInertia(ResultType.Section);
double Ieffx = solver.GetMomentOfInertiaX(ResultType.Section);
double Ieffy = solver.GetMomentOfInertiaY(ResultType.Section);
// result presentation
sb.AppendLine();
sb.AppendLine(decoration);
sb.AppendLine("Case 1: Cross section characteristics");
sb.AppendLine(decoration);
sb.AppendLine(FormatOutput("Ac", Ac, 6));
sb.AppendLine(FormatOutput("Ccx", Cc.X, 6));
sb.AppendLine(FormatOutput("Ccy", Cc.Y, 6));
sb.AppendLine(FormatOutput("Icx", Icx, 6));
sb.AppendLine(FormatOutput("Icy", Icy, 6));
sb.AppendLine(FormatOutput("As", As, 6));
sb.AppendLine(FormatOutput("Csx", Cs.X, 6));
sb.AppendLine(FormatOutput("Csy", Cs.Y, 6));
sb.AppendLine(FormatOutput("Isx", Isx, 6));
sb.AppendLine(FormatOutput("Isy", Isy, 6));
sb.AppendLine(FormatOutput("Aeff", Aeff, 6));
sb.AppendLine(FormatOutput("Ceffx", Ceff.X, 6));
sb.AppendLine(FormatOutput("Ceffy", Ceff.Y, 6));
sb.AppendLine(FormatOutput("Ieffx", Ieffx, 6));
sb.AppendLine(FormatOutput("Ieffy", Ieffy, 6));
}
