000841647 000__ 07453cam\a2201345\i\4500 000841647 001__ 841647 000841647 005__ 20210515151937.0 000841647 006__ m\\\\\o\\d\\\\\\\\ 000841647 007__ cr\cn\nnnunnun 000841647 008__ 150110s2015\\\\nyua\\\foab\\\001\0\eng\d 000841647 020__ $$a9781606504895$$q(electronic book) 000841647 020__ $$z9781606504888$$qprint 000841647 0247_ $$z10.5643/9781606504895$$2doi 000841647 035__ $$a(OCoLC)900011556 000841647 035__ $$a(CaBNvSL)swl00404578 000841647 035__ $$a(MiAaPQ)EBC1899726 000841647 035__ $$a(Au-PeEL)EBL1899726 000841647 035__ $$a(CaPaEBR)ebr11001852 000841647 035__ $$a(CaONFJC)MIL682023 000841647 035__ $$a(OCoLC)898755103 000841647 040__ $$aMiAaPQ$$beng$$erda$$epn$$cMiAaPQ$$dMiAaPQ 000841647 050_4 $$aTA645$$b.O325 2015 000841647 0820_ $$a624.171$$223 000841647 1001_ $$aO'Hara, Steven E.,$$eauthor. 000841647 24510 $$aNumerical structural analysis /$$cSteven E. O'Hara, Carisa H. Ramming. 000841647 264_1 $$aNew York, [New York] (222 East 46th Street, New York, NY 10017) :$$bMomentum Press,$$c2015. 000841647 300__ $$a1 online resource (xix, 277 pages) :$$billustrations. 000841647 336__ $$atext$$2rdacontent 000841647 337__ $$acomputer$$2rdamedia 000841647 338__ $$aonline resource$$2rdacarrier 000841647 4901_ $$aSustainable structural systems collection 000841647 504__ $$aIncludes bibliographical references and index. 000841647 5050_ $$a1. Roots of algebraic and transcendental equations -- 1.1 Equations -- 1.2 Polynomials -- 1.3 Descartes' rule -- 1.4 Synthetic division -- 1.5 Incremental search method -- 1.6 Refined incremental search method -- 1.7 Bisection method -- 1.8 Method of false position or linear interpolation -- 1.9 Secant method -- 1.10 Newton-Raphson method or Newton's tangent -- 1.11 Newton's second order method -- 1.12 Graeffe's root squaring method -- 1.13 Bairstow's method -- References -- 000841647 5058_ $$a2. 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 -- 000841647 5058_ $$a3. Numerical integration and differentiation -- 3.1 Trapezoidal rule -- 3.2 Romberg integration -- 3.3 Simpson's rule -- 3.4 Gaussian quadrature -- 3.5 Double integration by Simpson's one-third rule -- 3.6 Double integration by Gaussian quadrature -- 3.7 Taylor series polynomial expansion -- 3.8 Difference operators by Taylor series expansion -- 3.9 Numeric modeling with difference operators -- 3.10 Partial differential equation difference operators -- 3.11 Numeric modeling with partial difference operators -- References -- 000841647 5058_ $$a4. 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 -- 000841647 5058_ $$a5. Advanced structural stiffness -- 5.1 Member end releases, X-Z system -- 5.2 Member end releases, X-Y system -- 5.3 Member end releases, 3-D system -- 5.4 Non-prismatic members -- 5.5 Shear stiffness, X-Z system -- 5.6 Shear stiffness, X-Y system -- 5.7 Shear stiffness, 3-D system -- 5.8 Geometric stiffness, X-Y system -- 5.9 Geometric stiffness, X-Z system -- 5.10 Geometric stiffness, 3-D system -- 5.11 Geometric and shear stiffness -- 5.12 Torsion -- 5.13 Sub-structuring -- References -- 000841647 5058_ $$aAbout the authors -- Index. 000841647 506__ $$aAccess limited to authorized users. 000841647 5203_ $$aAs 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. 000841647 588__ $$aTitle from PDF title page (viewed on January 10, 2015). 000841647 650_0 $$aStructural analysis (Engineering)$$xMathematical models. 000841647 653__ $$aadjoint matrix 000841647 653__ $$aalgebraic equations 000841647 653__ $$aarea moment 000841647 653__ $$abeam deflection 000841647 653__ $$acarry- over factor, 000841647 653__ $$acastigliano's theorems 000841647 653__ $$acofactor matrix 000841647 653__ $$acolumn matrix 000841647 653__ $$acomplex conjugate pairs 000841647 653__ $$acomplex roots 000841647 653__ $$aconjugate beam 000841647 653__ $$aconjugate pairs 000841647 653__ $$aconvergence 000841647 653__ $$adiagonal matrix 000841647 653__ $$adifferentiation 000841647 653__ $$adistinct roots 000841647 653__ $$adistribution factor 000841647 653__ $$aeigenvalues 000841647 653__ $$aelastic stiffness 000841647 653__ $$aenke roots 000841647 653__ $$aextrapolation 000841647 653__ $$aflexural stiffness 000841647 653__ $$ageometric stiffness 000841647 653__ $$ahomogeneous 000841647 653__ $$aidentity matrix 000841647 653__ $$ainteger 000841647 653__ $$aintegration 000841647 653__ $$ainterpolation 000841647 653__ $$ainverse 000841647 653__ $$ajoint stiffness factor 000841647 653__ $$alinear algebraic equations 000841647 653__ $$alower triangular matrix 000841647 653__ $$amatrix 000841647 653__ $$amatrix minor 000841647 653__ $$amember end release 000841647 653__ $$amember relative stiffness factor 000841647 653__ $$amember stiffness factor 000841647 653__ $$amoment-distribution 000841647 653__ $$anon-homogeneous 000841647 653__ $$anon-prismatic members 000841647 653__ $$apartial pivoting 000841647 653__ $$apivot coefficient 000841647 653__ $$apivot equation 000841647 653__ $$apolynomials 000841647 653__ $$aprincipal diagonal 000841647 653__ $$aroots 000841647 653__ $$arotation 000841647 653__ $$arotational stiffness 000841647 653__ $$arow matrix 000841647 653__ $$asecond-order stiffness 000841647 653__ $$ashear stiffness 000841647 653__ $$aslope-deflection 000841647 653__ $$asparse matrix 000841647 653__ $$asquare matrix 000841647 653__ $$astiffness matrix 000841647 653__ $$astructural flexibility 000841647 653__ $$astructural stiffness 000841647 653__ $$asymmetric transformation 000841647 653__ $$atorsional stiffness 000841647 653__ $$atranscendental equations 000841647 653__ $$atransformations 000841647 653__ $$atransmission 000841647 653__ $$atransposed matrix 000841647 653__ $$atriangular matrix 000841647 653__ $$aupper triangular matrix 000841647 653__ $$avirtual work 000841647 653__ $$avisual integration 000841647 7001_ $$aRamming, Carisa H.,$$eauthor. 000841647 77608 $$iPrint version:$$z9781606504888 000841647 830_0 $$aSustainable structural systems collection. 000841647 852__ $$bebk 000841647 85640 $$3ProQuest Ebook Central Academic Complete$$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=1899726$$zOnline Access 000841647 909CO $$ooai:library.usi.edu:841647$$pGLOBAL_SET 000841647 980__ $$aEBOOK 000841647 980__ $$aBIB 000841647 982__ $$aEbook 000841647 983__ $$aOnline