TY  - BOOK
AU  - O'Hara,Steven E.
AU  - Ramming,Carisa H.
TI  - Numerical structural analysis
T2  - Sustainable structural systems collection
SN  - 9781606504895
AV  - TA645 .O325 2015
U1  - 624.171 23
PY  - 2015///
CY  - New York, [New York] (222 East 46th Street, New York, NY 10017)
PB  - Momentum Press
KW  - Structural analysis (Engineering)
KW  - Mathematical models
KW  - adjoint matrix
KW  - algebraic equations
KW  - area moment
KW  - beam deflection
KW  - carry- over factor
KW  - castigliano's theorems
KW  - cofactor matrix
KW  - column matrix
KW  - complex conjugate pairs
KW  - complex roots
KW  - conjugate beam
KW  - conjugate pairs
KW  - convergence
KW  - diagonal matrix
KW  - differentiation
KW  - distinct roots
KW  - distribution factor
KW  - eigenvalues
KW  - elastic stiffness
KW  - enke roots
KW  - extrapolation
KW  - flexural stiffness
KW  - geometric stiffness
KW  - homogeneous
KW  - identity matrix
KW  - integer
KW  - integration
KW  - interpolation
KW  - inverse
KW  - joint stiffness factor
KW  - linear algebraic equations
KW  - lower triangular matrix
KW  - matrix
KW  - matrix minor
KW  - member end release
KW  - member relative stiffness factor
KW  - member stiffness factor
KW  - moment-distribution
KW  - non-homogeneous
KW  - non-prismatic members
KW  - partial pivoting
KW  - pivot coefficient
KW  - pivot equation
KW  - polynomials
KW  - principal diagonal
KW  - roots
KW  - rotation
KW  - rotational stiffness
KW  - row matrix
KW  - second-order stiffness
KW  - shear stiffness
KW  - slope-deflection
KW  - sparse matrix
KW  - square matrix
KW  - stiffness matrix
KW  - structural flexibility
KW  - structural stiffness
KW  - symmetric transformation
KW  - torsional stiffness
KW  - transcendental equations
KW  - transformations
KW  - transmission
KW  - transposed matrix
KW  - triangular matrix
KW  - upper triangular matrix
KW  - virtual work
KW  - visual integration
KW  - Electronic books
N1  - Includes bibliographical references and index; 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; Restricted to libraries which purchase an unrestricted PDF download via an IP
N2  - 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 systems involves the knowledge of science, technology, engineering, and math to design and develop efficient and economical buildings and other structures. The link between the basic concepts and application to real world problems is one of the most challenging learning endeavors that structural engineers face. A thorough understanding of the analysis procedures should lead to successful structures
UR  - https://ebookcentral.proquest.com/lib/bcsl-ebooks/detail.action?docID=1899726
ER  -