# Nonlinear Structural Engineering: With Unique Theories and Methods to Solve Effectively Complex Nonlinear Problems

## Nonlinear Structural Engineering

Demeter G. Fertis

Preference :

The practicing design engineer, who deals with the design of structures and
structural and mechanical components, in general, is often confronted with
nonlinear problems and he/she needs to develop a design procedure that
deals effectively with such types of problems. Flexible members, structures
subjected to blast and earthquake, suspension bridges, aircraft structural
elements, and so on, are only a few examples where understanding of their
nonlinear behavior is extremely important for an adequate and safe design.
Many of our nonlinear structures are composed of beam elements that
can be taken apart from the structure, and their behavior can be studied
by satisfying appropriate boundary conditions. Once we are in a position to
understand completely the behavior of the nonlinear beam problem, we can
then expand our knowledge effectively so that it includes a complete under-
standing of the nonlinear behavior of two-dimensional and three-dimensional
structures and structural components.
In part, the purpose of this book is to concentrate its efforts on the non-
linear static and dynamic analysis of structural beam components that are
widely used in everyday engineering applications. The analysis and design of
the beam component can become very complicated when it is subjected to a
large deformation, or when its material is permitted to be stressed well be-
yond its elastic limit and all the way to failure. The problem becomes even
more complicated when the cross-sectional geometry of the member changes
along its length, or when the modulus of elasticity of its material varies
along its length. Therefore, such beam problems deserve special considera-
tion. The book also includes a reasonable treatment regarding the nonlinear
analysis of inelastic plates, suspension bridges and their failures, multistory
buildings subjected to strong earthquakes, as well as many other interesting
nonlinear problems, such as thick cylinders, inelastic torsion, inelastic vibra-
tions, inelastic analysis of flexible members, and so on.

 Nonlinear Structural Engineering

Content :
• Basic Theories and Principles of Nonlinear Beam Deformations
• Solution Methodologies for Uniform Flexible Beams
• Solution Methodologies for Variable Stiffness Flexible Beams
• Inelastic Analysis of Structural Components
• Vibration Analysis of Flexible Structural Components
• Suspension Bridges, Failures, Plates, and Other Types of Nonlinear Structural Problems
• Appendix A Acceleration Impulse Extrapolation Method
• Appendix B Computer Program Using the AIEM for the Elastoplastic Analysis in Example