10 double xiCoord[2][2] = { { -sqrt(1 / 3.0), sqrt(1 / 3.0) } ,{ sqrt(1 / 3.0), -sqrt(1 / 3.0) } };
11 double etaCoord[2][2] = { { -sqrt(1 / 3.0), -sqrt(1 / 3.0) } ,{ sqrt(1 / 3.0), sqrt(1 / 3.0) } };
12 double xiCorner[2][2] = { { -1.0, 1.0 },{ 1.0, -1.0 } };
13 double etaCorner[2][2] = { { -1.0, -1.0 } ,{ 1.0, 1.0 } };
14 double weights[2][2] = { { 1, 1 } ,{ 1, 1 } };
15 double xiExtrapolation[2][2] = { { -sqrt(3), sqrt(3) },{ sqrt(3), -sqrt(3) } };
16 double etaExtrapolation[2][2] = { { -sqrt(3), -sqrt(3) } ,{ sqrt(3), sqrt(3) } };
17 double xiCoord3x3[3][3] = { { -sqrt(0.6), sqrt(0.6) , sqrt(0.6) },{ -sqrt(0.6), 0, sqrt(0.6) },{ 0, -sqrt(0.6), 0 } };
18 double etaCoord3x3[3][3] = { { -sqrt(0.6), -sqrt(0.6), sqrt(0.6) },{ sqrt(0.6), -sqrt(0.6), 0 },{ sqrt(0.6), 0, 0 } };
19 double weights3x3[3][3] = { { 25.0 / 81 , 25.0 / 81 , 25.0 / 81 },{ 25.0 / 81 , 40.0 / 81, 40.0 / 81 },{ 40.0 / 81, 40.0 / 81, 64.0 / 81 } };
24 virtual MatrixXd getNMatrix(
double zeta1,
double zeta2) = 0;
25 virtual MatrixXd getN_etaMatrix(
double xi,
double eta) = 0;
26 virtual MatrixXd getN_xiMatrix(
double xi,
double eta) = 0;
27 virtual MatrixXd getJacobi(
double xi,
double eta) = 0;
28 virtual MatrixXd getBMatrix(MatrixXd jacobi,
double xi,
double eta) = 0;
100 void computeTauShear(
double Cx,
double Cy);
112 double xOfZeta(
double xi,
double eta);
122 double yOfZeta(
double xi,
double eta);
228 double getShearFactorContributionX();
229 double getShearFactorContributionY();
double calculateDeltaGIt()
Calculates delta GIt for the element, used to find gloal GIt for torsional analysis.
Definition: QuadraticElement.cpp:282
Contains element data and relevant functions.
Definition: Element.h:12
Class for implementation of quadratic elements.
Definition: QuadraticElement.h:5
void calculateElementLoadShearY()
Calculates the initial load vector for applied shear along y-axis.
Definition: QuadraticElement.cpp:188
void calculateElementLoadShearX()
Calculates the initial load vector for applied shear along x-axis.
Definition: QuadraticElement.cpp:164
void setExtrapolationMatrix()
Creates the matrix used for extrapolating results.
Definition: QuadraticElement.cpp:315
MatrixXd getN1Matrix(double xi, double eta)
Gets the .
Definition: QuadraticElement.cpp:438
double getBendingStiffnessY(double Ax)
Calculates the second moment of area about the y-axis for the element.
Definition: QuadraticElement.cpp:96
void calculateElementLoadTorsion()
Calculates the initial load vector for torsion .
Definition: QuadraticElement.cpp:137
double getBendingStiffnessX(double Ay)
Calculates the second moment of area about the x-axis for the element.
Definition: QuadraticElement.cpp:76
void calculateArea()
Calculates the area of the element.
Definition: QuadraticElement.cpp:34
void calculateTorsionShearCenter()
Calculates the shear center derived from torsional analysis.
Definition: QuadraticElement.cpp:414
double getBendingStiffnessProduct(double Ax, double Ay)
Calculating the product of moment of inertia.
Definition: QuadraticElement.cpp:114
void calculateAreaCentre()
Calculates the area centre of the element.
Definition: QuadraticElement.cpp:51
double yOfZeta(double xi, double eta)
Calculates and returns the the distance in the y-direction between the integration point in the eleme...
Definition: QuadraticElement.cpp:27
void resetElementLoad()
Resets element load to all zeros.
Definition: QuadraticElement.cpp:332
double xOfZeta(double xi, double eta)
Calculates and returns the the distance in the x-direction between the integration point in the eleme...
Definition: QuadraticElement.cpp:17
void checkBMatrix()
Method verifies Used in debugging of the program. Calculates for each node. First component should ...
Definition: QuadraticElement.cpp:340
void computeTauTorsion(double rateOfTwist)
Calculates shear stresses at nodes using initialStrain and elementsDisplacement.
Definition: QuadraticElement.cpp:213
void checkNMatrix()
Method verifies Used in debugging of the program. Checks if /f$ x = {N} {x} for all integration poi...
Definition: QuadraticElement.cpp:400