public static void GelenkBalkenSystem()
{
Console.WriteLine("Beam with hinge");
// introduce Symbols
var a = new Symbol("a");
var F = new Symbol("F");
var Ax = new Symbol("A_x");
var Ay = new Symbol("A_y");
var Ma = new Symbol("M_a");
var By = new Symbol("B_y");
var Gx = new Symbol("G_x");
var Gy = new Symbol("G_y");
var M = new Symbol("M");
// relevant points
var A = new Point(0, 0);
var B = new Point(a, 0);
var C = new Point(a / 2, 0);
var D = new Point(3 * a / 4, 0);
// support reactions
var F_A = new Force(A, Ax, Ay);
var M_A = new Moment(Ma);
var F_G = new Force(C, Gx, Gy);
var F_B = new Force(B, 0, By);
// external forces and moments
var F_Ext = new Force(D, 0, -F);
// full system
var ReactionForcesFull = new Force[] { F_A, F_B };
var ExternalForcesFull = new Force[] { F_Ext };
var ReactionMomentsFull = new Moment[] { M_A };
var ExternalMomentsFull = new Moment[0];
var FullSystem = new Subsystem2D(ReactionForcesFull, ReactionMomentsFull, ExternalForcesFull, ExternalMomentsFull);
var BalanceEquationsFull = (FullSystem.AssembleEquations(A));
Console.WriteLine("Gesamtsystem");
FullSystem.PrintEquations(A);
Console.WriteLine("Using Latex output:");
FullSystem.PrintEquationsLatex(A);
// right Subsystem
var ReactionForcesRight = new Force[] { F_G, F_B };
var ExternalForcesRight = new Force[] { F_Ext };
var ReactionMomentsRight = new Moment[0];
var ExternalMomentsRight = new Moment[0];
var RightSystem = new Subsystem2D(ReactionForcesRight, ReactionMomentsRight, ExternalForcesRight, ExternalMomentsRight);
Console.WriteLine("Rechtes Teilsystem");
var BalanceEquationsRight = (RightSystem.AssembleEquations(C));
RightSystem.PrintEquations(C);
// everything together
var Unknowns = new Symbol[] { Ax, Ay, Ma, By, Gx, Gy };
var Exercise = new ReactionForceExercise2D(new Subsystem2D[] { FullSystem, RightSystem }, Unknowns);
Console.WriteLine("Everything together to calculate solution:");
var Sol = Exercise.SolveBalanceEquations();
Exercise.PrintSolution();
}
public ReactionForceExercise2D(Force[] _ReactionForces, Moment[] _ReactionMoments, Force[] _ExternalForces, Moment[] _ExternalMoments, Symbol[] _AllUnknowns)
{
Subsystems = new Subsystem2D[] { new Subsystem2D(_ReactionForces, _ReactionMoments, _ExternalForces, _ExternalMoments) };
AllUnknowns = _AllUnknowns;
}
