Numerical structural analysis /

As structural engineers move further into the age of digital computation and rely more heavily on computers to solve problems, it remains paramount that they understand the basic mathematics and engineering principles used to design and analyze building structures. The analysis of complex structural...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: O'Hara, Steven E. (Autor), Ramming, Carisa H. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015.
Colección:Momentum Press sustainable structural systems collection.
Temas:
Structural analysis (Engineering) > Mathematical models.
Théorie des constructions > Modèles mathématiques.
TECHNOLOGY & ENGINEERING > Civil > General.
Structural analysis (Engineering) > Mathematical models
adjoint matrix
algebraic equations
area moment
beam deflection
carry- over factor,
castigliano's theorems
cofactor matrix
column matrix
complex conjugate pairs
complex roots
conjugate beam
conjugate pairs
convergence
diagonal matrix
differentiation
distinct roots
distribution factor
eigenvalues
elastic stiffness
enke roots
extrapolation
flexural stiffness
geometric stiffness
homogeneous
identity matrix
integer
integration
interpolation
inverse
joint stiffness factor
linear algebraic equations
lower triangular matrix
matrix
matrix minor
member end release
member relative stiffness factor
member stiffness factor
moment-distribution
non-homogeneous
non-prismatic members
partial pivoting
pivot coefficient
pivot equation
polynomials
principal diagonal
roots
rotation
rotational stiffness
row matrix
second-order stiffness
shear stiffness
slope-deflection
sparse matrix
square matrix
stiffness matrix
structural flexibility
structural stiffness
symmetric transformation
torsional stiffness
transcendental equations
transformations
transmission
transposed matrix
triangular matrix
upper triangular matrix
virtual work
visual integration
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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