Numerical structural analysis

Content: 1. Roots of algebraic and transcendental equations --
1.1 Equations --
1.2 Polynomials --
1.3 Descartes\' rule --
1.4 Synthetic division --
1.5 Incremental search method --
1.6 Refined incremental search method --
1.7 Bisection method --
1.8 Method of false position or linear interpolation --
1.9 Secant method --
1.10 Newton-Raphson method or Newton\'s tangent --
1.11 Newton\'s second order method --
1.12 Graeffe\'s root squaring method --
1.13 Bairstow\'s method --
References --
2. Solutions of simultaneous linear algebraic equations using matrix algebra --
2.1 Simultaneous equations --
2.2 Matrices --
2.3 Matrix operations --
2.4 Cramer\'s rule --
2.5 Method of adjoints or cofactor method --
2.6 Gaussian elimination method --
2.7 Gauss-Jordan elimination method --
2.8 Improved Gauss-Jordan elimination method --
2.9 Cholesky decomposition method --
2.10 Error equations --
2.11 Matrix inversion method --
2.12 Gauss-Seidel iteration method --
2.13 Eigenvalues by Cramer\'s rule --
2.14 Faddeev-Leverrier method --
2.15 Power method or iteration method --
References --
3. Numerical integration and differentiation --
3.1 Trapezoidal rule --
3.2 Romberg integration --
3.3 Simpson\'s rule --
3.4 Gaussian quadrature --
3.5 Double integration by Simpson\'s one-third rule --
3.6 Double integration by Gaussian quadrature --
3.7 Taylor series polynomial expansion --
3.8 Difference operators by Taylor series expansion --
3.9 Numeric modeling with difference operators --
3.10 Partial differential equation difference operators --
3.11 Numeric modeling with partial difference operators --
References --
4. Matrix structural stiffness --
4.1 Matrix transformations and coordinate systems --
4.2 Rotation matrix --
4.3 Transmission matrix --
4.4 Area moment method --
4.5 Conjugate beam method --
4.6 Virtual work --
4.7 Castigliano\'s theorems --
4.8 Slope-deflection method --
4.9 Moment-distribution method --
4.10 Elastic member stiffness, X-Z system --
4.11 Elastic member stiffness, X-Y system --
4.12 Elastic member stiffness, 3-D system --
4.13 Global joint stiffness --
References --
5. Advanced structural stiffness --
5.1 Member end releases, X-Z system --
5.2 Member end releases, X-Y system --
5.3 Member end releases, 3-D system --
5.4 Non-prismatic members --
5.5 Shear stiffness, X-Z system --
5.6 Shear stiffness, X-Y system --
5.7 Shear stiffness, 3-D system --
5.8 Geometric stiffness, X-Y system --
5.9 Geometric stiffness, X-Z system --
5.10 Geometric stiffness, 3-D system --
5.11 Geometric and shear stiffness --
5.12 Torsion --
5.13 Sub-structuring --
References --
About the authors --
Index.