• E_Book Elements of Matrix and Stability Analysis of Structures

E_Book Elements of Matrix and Stability Analysis of Structures

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Book Detail
Publication Year 1998
ISBN-13 978-81-7409-316-5
ASIN 81-7409-316-8
Language English
Edition 7th
Pages 1412
Preface Para1 The text consists of two subject matters, viz., Matrix Analysis of Structures and the Theory of Structural Stability, its principles and applications. Advent of computer paved way for the discovery of two novel methods, namely, Matrix Analysis and Finite Element Method. Because of these two methods, the conventional Slope Deflection, Moment Distribution, Column Analogy, Elastic Center, Kani's Method, Naylor's method, etc., will either go into desuetude or will be taught to a limited extent in the curriculum. In this text, the Matrix Analysis is dealt within an exhaustive manner serving as a prelude to comprehend and appreciate the more powerful FEM in the postgraduate course. Almost all structures include in them compression elements. In beams, part of the section is under compression. When the components are slender and thin, they have a tendency for buckling due to compression.In this text many novel formulations have been included to determine the critical loads of non-prismatic columns, square, rectangular and circular plates, elastic frames, rings, etc. These approximate theories are simple in concept, easy to work with and efficacious. Because of this fact, old and rigorous approximate procedures will be dispensed with in future. The subject matter advanced in this text may provide an effective background to develop new theories related to neural networks, genetic algorithm, biomechanics,
Table of Contents
Table of Contents Part-I *Statical Indeterminacy *Degree of freedom *Solution of equations *Sign convention *Energy method for establishing stiffness matrices *Equivalent joint loads *Computation of reactions Part-II *Basic concepts of matrix analysis of structures *Deflections of determinate structures *Statically indeterminate system *Stress due to lack of fit and temperature *Displacement method of analysis *Direct stiffness method *Frames with sloping members *Grid analysis *Stiffness matrix through potential energy *Unstable elements *Conventional Rayleigh-Ritz Method (CRRM-1908) *Improved Rayleigh-Ritz Method (RRM-1994) *Additional information on Rayleigh-Ritz Method *Central deflection of simply supported beams *Central deflection of fixed beams *Special problems Part-III *Introduction *The Euler columns *Simple stability problems *Generation of shape functions *Double integration method *Single integration method(1997) *Centre of gravity method *Method of weighted moment of inertia *Lower bound solution for non-prismatic Euler columns *Upper bound solution for Euler columns *Work method for Euler columns *Moment integration concept *Method of successive approximation *Timoshenko's energy method *Applications of potential energy concepts columns (1998) *Stodola's method *Questions and answers in Structural engineering *Auxiliary stability functions *Distinct stability functions *Solved exercises *Intuitive Problems *Model Question Paper & Its Solution *Appendices *References