public static Dictionary <string, object> TorsionalFunctionValues(string TorsionalFunctionCaseId, double E, double G, double J, double L, double z, double T, double C_w, double t, double alpha)
{
//Default values
double theta = 0;
double theta_1der = 0;
double theta_2der = 0;
double theta_3der = 0;
//Calculation logic:
TorsionalFunctionCase TCase;
bool IsValidStringTorsionCase = Enum.TryParse(TorsionalFunctionCaseId, true, out TCase);
if (IsValidStringTorsionCase == false)
{
throw new Exception("Torsional case is not recognized. Check input string.");
}
TorsionalFunctionFactory tf = new TorsionalFunctionFactory();
ITorsionalFunction function = tf.GetTorsionalFunction(TCase, E, G, J, L, z, T, C_w, t, alpha);
theta = function.Get_theta();
theta_1der = function.Get_theta_1();
theta_2der = function.Get_theta_2();
theta_3der = function.Get_theta_3();
#region For debugging calculate the normalized values as in AISC design Guide
double thetaNorm;
double theta_1derNorm;
double theta_2derNorm;
double theta_3derNorm;
//FOR TESTING CALCULATE THE SECTION PROPS
double a = Math.Sqrt((E * C_w) / (G * J));
double la = L / a;
#region Case 12
thetaNorm = theta * (G * J / t) * 1 / (Math.Pow(a, 2));
theta_1derNorm = theta_1der * (G * J / t) * 2.0 / (a);
theta_2derNorm = theta_2der * G * J / t;
theta_3derNorm = theta_3der * G * J / t * a;
#endregion
#endregion
return(new Dictionary <string, object>
{
{ "theta", theta }
, { "theta_1der", theta_1der }
, { "theta_2der", theta_2der }
, { "theta_3der", theta_3der }
});
}
public void DGExample5_1ReturnsWarpingStressAtMidspan()
{
SetAiscDG9Example5_1Parameters();
z = 0.5 * L;
TorsionalFunctionFactory tf = new TorsionalFunctionFactory();
ITorsionalFunction function = tf.GetTorsionalFunction(TorsionalFunctionCase.Case3, E, G, J, L, z, T_u, C_w, t, alpha);
double theta_2der = function.Get_theta_2();
SectionStressAnalysis st = new SectionStressAnalysis();
double sigma = st.GetNormalStressDueToWarpingOpenSection(E, W_no, theta_2der);
double refValue = 28.0;
double actualTolerance = EvaluateActualTolerance(sigma, refValue);
Assert.LessOrEqual(actualTolerance, tolerance);
}
public void TorsionalFunctionCase7ReturnsThirdDerivativeA02L()
{
SetAiscDG9Example5_5Parameters();
z = 0.2 * L;
TorsionalFunctionFactory tf = new TorsionalFunctionFactory();
//double a_rev = Math.Sqrt(E * C_w / (G * J));
ITorsionalFunction function = tf.GetTorsionalFunction(TorsionalFunctionCase.Case7, E, G, J, L, z, T_u, C_w, t, alpha);
double theta_3der = function.Get_theta_3();
double refValue = 0.5;
double ratio = L / a;
double GraphValuePredicted = theta_3der * G * J / t * 2.0 * Math.Pow(a, 2) / L;
double actualTolerance = EvaluateActualTolerance(GraphValuePredicted, refValue);
Assert.LessOrEqual(actualTolerance, tolerance);
}
public void TorsionalFunctionCase3ReturnsThirdDerivativeAtSupport()
{
//AISC Design Guide 9 Example 5.1
//Case 3, with alpha = 0.5:
SetAiscDG9Example5_1Parameters();
z = 0;
TorsionalFunctionFactory tf = new TorsionalFunctionFactory();
ITorsionalFunction function = tf.GetTorsionalFunction(TorsionalFunctionCase.Case3, E, G, J, L, z, T_u, C_w, t, alpha);
double theta_3der = function.Get_theta_3();
double refValue = 0.22 * (-5.78) * Math.Pow(10, -3.0) / 62.1;
double actualTolerance = EvaluateActualTolerance(theta_3der, refValue);
Assert.LessOrEqual(actualTolerance, tolerance);
}
public void TorsionalFunctionCase3ReturnsFirstDerivativeAtMidspan()
{
//AISC Design Guide 9 Example 5.1
//Case 3, with alpha = 0.5:
SetAiscDG9Example5_1Parameters();
z = L / 2;
TorsionalFunctionFactory tf = new TorsionalFunctionFactory();
ITorsionalFunction function = tf.GetTorsionalFunction(TorsionalFunctionCase.Case3, E, G, J, L, z, T_u, C_w, t, alpha);
double theta_1der = function.Get_theta_1();
double refValue = 0;
double actualTolerance = EvaluateActualTolerance(theta_1der, refValue);
Assert.LessOrEqual(actualTolerance, tolerance);
}
public void TorsionalFunctionCase6ReturnsFirstDerivativeAt02()
{
SetAiscDG9Example5_1Parameters();
z = 0.2 * L;
TorsionalFunctionFactory tf = new TorsionalFunctionFactory();
//double a_rev = Math.Sqrt(E * C_w / (G * J));
ITorsionalFunction function = tf.GetTorsionalFunction(TorsionalFunctionCase.Case6, E, G, J, L, z, T_u, C_w, t, alpha);
double theta_1der = function.Get_theta_1();
double refValue = 0.1;
double ratio = L / a;
double GraphValuePredicted = theta_1der * G * J / T_u;
double actualTolerance = EvaluateActualTolerance(GraphValuePredicted, refValue);
Assert.LessOrEqual(actualTolerance, tolerance);
}
public void TorsionalFunctionCase12ReturnsSecondDerivativeAtSupport()
{
SetAiscDG9Example5_1Parameters();
z = 0.0 * L;
TorsionalFunctionFactory tf = new TorsionalFunctionFactory();
T_u = 0.0;
t = 5.0;
ITorsionalFunction function = tf.GetTorsionalFunction(TorsionalFunctionCase.Case12, E, G, J, L, z, T_u, C_w, t, alpha);
double theta_2der = function.Get_theta_2();
double refValue = 0.84;
double ratio = L / a;
double GraphValuePredicted = theta_2der * G * J / t;
double actualTolerance = EvaluateActualTolerance(GraphValuePredicted, refValue);
Assert.LessOrEqual(actualTolerance, tolerance);
}