Descript 
1 online resource (xix, 277 pages) : illustrations 

text rdacontent 

computer rdamedia 

online resource rdacarrier 
Series 
Sustainable structural systems collection 

Sustainable structural systems collection

Note 
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 NewtonRaphson 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 GaussJordan elimination method  2.8 Improved GaussJordan elimination method  2.9 Cholesky decomposition method  2.10 Error equations  2.11 Matrix inversion method  2.12 GaussSeidel iteration method  2.13 Eigenvalues by Cramer's rule  2.14 FaddeevLeverrier 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 onethird 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 Slopedeflection method  4.9 Momentdistribution method  4.10 Elastic member stiffness, XZ system  4.11 Elastic member stiffness, XY system  4.12 Elastic member stiffness, 3D system  4.13 Global joint stiffness  References  

5. Advanced structural stiffness  5.1 Member end releases, XZ system  5.2 Member end releases, XY system  5.3 Member end releases, 3D system  5.4 Nonprismatic members  5.5 Shear stiffness, XZ system  5.6 Shear stiffness, XY system  5.7 Shear stiffness, 3D system  5.8 Geometric stiffness, XY system  5.9 Geometric stiffness, XZ system  5.10 Geometric stiffness, 3D system  5.11 Geometric and shear stiffness  5.12 Torsion  5.13 Substructuring  References  

About the authors  Index 

Restricted to libraries which purchase an unrestricted PDF download via an IP 

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 

Title from PDF title page (viewed on January 10, 2015) 

Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries 
Link 
Print version: 9781606504888

Subject 
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


momentdistribution


nonhomogeneous


nonprismatic members


partial pivoting


pivot coefficient


pivot equation


polynomials


principal diagonal


roots


rotation


rotational stiffness


row matrix


secondorder stiffness


shear stiffness


slopedeflection


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


Electronic books

Alt Author 
Ramming, Carisa H., author

