1st Edition

# The Finite Strip Method

By Y. K. Cheung, L. G. Tham Copyright 1997
416 Pages
by CRC Press

400 Pages
by CRC Press

Also available as eBook on:

The increase in the popularity and the number of potential applications of the finite strip method has created a demand for a definitive text/reference on the subject. Fulfilling this demand, The Finite Strip Method provides practicing engineers, researchers, and students with a comprehensive introduction and theoretical development, and a complete treatment of current practical applications of the method.

Written by experts who are arguably the world's leading authorities in the field, The Finite Strip Method covers both the classical strip and the newly developed spline strip and computed shape function strip. Applications in structural engineering, with particular focus on practical structures such as slab-beam bridges, box girder bridges, and tall buildings are discussed extensively. Applications in geotechnology are also covered, as are recently formulated applications in nonlinear analysis.

The Finite Strip Method is a unique book, supplying much-needed information by well-known and highly regarded authors.

Introduction
Interpolation Shape Functions
Choice of Interpolation Shape Functions
Available Interpolation Functions for Classical Finite Strips
Longitudinal Functions for Spline Finite Strips
Computed Shape Function Strips
Constant Strain Conditions
Plate Bending Problems
Introduction
Formulation for Thin Plate Bending
Classical Plate Strips
Spline Bending Strips
Computed Shape Function (COMSFUN) Strips
Curved Plate Strips
Skew Plates
Analysis of Moderately Thick Plates
Least Square Formulation of Plate Bending Problems
Plane Stress Analysis
Introduction
Classical Plane Stress Strips
Spline Plane Stress Strips
Computed Shape Function Strip (COMSFUN)
Curved Plane Stress Strips
Examples
Mixed Formulation of Plane Stress Analysis
Vibration and Stability
Matrix Theory of Free Vibration
Derivation of Consistent Mass Matrix of Classical Strips
Derivation of Consistent Mass Matrix of Spline Strip
Examples
Linear Instability and Geometric (Stress) Stiffness Matrix
Vibration Analysis of Moderately Thick Plates
Modelling of Three Dimensional Solids: Finite Prism and Finite Layer Methods
Introduction
Finite Prism Method
Finite Layer Method
Domain Transformation: Treatments for Arbitrarily Shaped Structures
Introduction
Parametric Representation of Arbitrary Plane Curves
Transformation for Arbitrarily Shaped Quadrilateral Plates
Transformation of Arbitrarily Shaped Shells
Transformation for Longitudinally Arbitrarily Curved Box Girders
Applications to Shell Structures and Bridges
Shell Structures
Bridges
Applications to Tall Buildings
General Consideration and Structural Idealization
Strip Elements
Line Elements
Discrete Beam Model
Examples
Applications to Layered Systems in Structural and Geotechnical Engineering
Sandwich and Laminated Plates
Geotechnical Problems
Non-Linear Analysis
Introduction
Solution for Non-Linear System
Material Non-Linearity
Geometric Non-Linearity
Non-Linear Vibration
Transformation Approach: Fourier and Hankel Transforms
Introduction
Plane Strain Analysis