# Advanced Structural Analysis/Printable version

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https://en.wikibooks.org/wiki/Advanced_Structural_Analysis

# Part I - Theory

# Introduction edit

The theory of applied structural analysis is extensive. Clearly it entails a vast amount of mathematics and physics, but it should also put forth some other aspects that cannot always be treated in the same precise manner. Such aspects may be: sound working patterns, the concept of safety, conservative design etc. This part of Advanced Structural Analysis is an ambitious ongoing attempt to thoroughly cover the wide range of topics schematically outlined above.

The topics of this part of the book follow in a rational order of progressing insight into the theory of structural analysis. At the starting point, *Philosophy of Structural Analysis*, we enter a place where nothing is known about solid mechanics except that mechanical structures sometimes fail to work as desired. The discussion is very general, and establishes fundamental view-points that naturally lead towards an exploration of engineering materials.

In *Materials*, basic concepts such as elasticity, plasticity etc. are explained as thoroughly as possible without extensive use of mathematics. Eventually, the discussion reaches a point where a more sophisticated mathematical approach is needed in order to deepen our understanding of the general behavior of solid materials. We then resort to *Continuum Mechanics*.

*Continuum Mechanics* is a powerful mathematical machinery that describes the mechanical behavior of continua, i.e. continuous deformable material volumes. It provides insights that are essential to the theoretical treatment of elasticity, plasticity, fatigue, FEA, etc. and is key in practical structural analysis.

*Residual Stress*, follows next. The chapter explains the concept of residual stress, and outlines common causes and the effects it may have on mechanical structures.

We have now covered the prerequisites of the next chapter, *Failure Modes*. Here the previous sections come together and pave the road to in-depth understanding the different failure modes that may occur in a structure.

**Constraints and Loads..**

We are now ready to discuss *Optimization*. Different optimization methods and goals are covered extensively.

At this point we have acquired a substantial body of theoretical knowledge, and the ability to understand the nuances of structural integrity and functioning. Therefore, it is time to move on to a more formal context where legal documents regulate specifics of how the analysis of engineering products should be conducted. *Normative Documents* covers these regulations, continent by continent, and is a springboard into these matters.

Previous chapters have established a fairly good idea of what questions need to be asked before and during a structural analysis. Now we find out how to get the answers. *Modeling* covers major topics such as analytical methods and FEA.

Equipped with the knowledge of how to perform advanced analysis of engineering products, we need to discuss ways to control the quality of our work. There are many possible sources of error, including: data input errors, modeling assumptions that may be incorrect, numerical problems, software bugs etc. Due to the complexity of most analysis tasks, it is important to have routines and strategies for sifting the errors out of the solution. *Verification and Work Flow* provides suggestions for how to eliminate significant errors from you analysis.

The last chapter, *Analysis Documentation*, of this part of the book outlines important features of the analysis documentation.

# Motivation

# Motivation edit

Advanced Structural Analysis has tremendous potential value to organizations world-wide that depend on reliable and effective structural analysis. One particularly advantageous feature of the material is the fact that it may not be copyrighted. Thus, everyone is free and welcome to copy and edit any segment, and implement it in any context. Consequently, ASA makes it possible to assemble extensive structural analysis directives and handbooks with minimal effort and cost.

Participating in the project will strengthen your competence indeed. But it can also help you verify your skills as you may receive expert feedback on your work.

# Participate

Feel free to participate and accelerate the development of this wikibook! Check out Discussion for some quick start tips and more.

Also, if you feel so inclined, please notify universities and other potential participants about this project.

## Chapters edit

# Layout

# Introduction edit

It is evident that the framework of information laid out by Advanced Structural Analysis is complex and vast. Therefore, the clarity of the book's structure is vital to its writers and readers. Some fundamental guidelines are outlined in the Strategy section whereas the precise architecture is illustrated in the Map section.

# Part I - Theory

# Introduction edit

The theory of applied structural analysis is extensive. Clearly it entails a vast amount of mathematics and physics, but it should also put forth some other aspects that cannot always be treated in the same precise manner. Such aspects may be: sound working patterns, the concept of safety, conservative design etc. This part of Advanced Structural Analysis is an ambitious ongoing attempt to thoroughly cover the wide range of topics schematically outlined above.

The topics of this part of the book follow in a rational order of progressing insight into the theory of structural analysis. At the starting point, *Philosophy of Structural Analysis*, we enter a place where nothing is known about solid mechanics except that mechanical structures sometimes fail to work as desired. The discussion is very general, and establishes fundamental view-points that naturally lead towards an exploration of engineering materials.

In *Materials*, basic concepts such as elasticity, plasticity etc. are explained as thoroughly as possible without extensive use of mathematics. Eventually, the discussion reaches a point where a more sophisticated mathematical approach is needed in order to deepen our understanding of the general behavior of solid materials. We then resort to *Continuum Mechanics*.

*Continuum Mechanics* is a powerful mathematical machinery that describes the mechanical behavior of continua, i.e. continuous deformable material volumes. It provides insights that are essential to the theoretical treatment of elasticity, plasticity, fatigue, FEA, etc. and is key in practical structural analysis.

*Residual Stress*, follows next. The chapter explains the concept of residual stress, and outlines common causes and the effects it may have on mechanical structures.

We have now covered the prerequisites of the next chapter, *Failure Modes*. Here the previous sections come together and pave the road to in-depth understanding the different failure modes that may occur in a structure.

**Constraints and Loads..**

We are now ready to discuss *Optimization*. Different optimization methods and goals are covered extensively.

At this point we have acquired a substantial body of theoretical knowledge, and the ability to understand the nuances of structural integrity and functioning. Therefore, it is time to move on to a more formal context where legal documents regulate specifics of how the analysis of engineering products should be conducted. *Normative Documents* covers these regulations, continent by continent, and is a springboard into these matters.

Previous chapters have established a fairly good idea of what questions need to be asked before and during a structural analysis. Now we find out how to get the answers. *Modeling* covers major topics such as analytical methods and FEA.

Equipped with the knowledge of how to perform advanced analysis of engineering products, we need to discuss ways to control the quality of our work. There are many possible sources of error, including: data input errors, modeling assumptions that may be incorrect, numerical problems, software bugs etc. Due to the complexity of most analysis tasks, it is important to have routines and strategies for sifting the errors out of the solution. *Verification and Work Flow* provides suggestions for how to eliminate significant errors from you analysis.

The last chapter, *Analysis Documentation*, of this part of the book outlines important features of the analysis documentation.

# Part II - Application

This part of the book illustrates how the theoretical background described in Part I can be implemented in practice.

- Rigid Body Mechanics
- Linear Static Analysis
- Linear Static Bifurcation Analysis
- Geometrically Nonlinear Elastic Static Analysis
- Materially Nonlinear Static Analysis
- Geometrically and Materially Nonlinear Static Analysis
- Geometrically Nonlinear Elastic Static Analysis with Imperfections Included
- Geometrically and Materially Nonlinear Static Analysis with imperfections Included
- General Dynamic Analysis
- Thermal Analysis

# References

# Part I - Theory edit

## Introduction edit

## Philosophy of Structural Analysis edit

## General Properties of Materials edit

## Continuum Mechanics edit

## Failure Modes edit

### Introduction edit

### Fatigue edit

- J. Schijve;
*Fatigue of Structures and Materials*; Springer - S. Suresh;
*Fatigue of Materials*; Cambridge

**etc.**

### Plastic Failure edit

### Brittle Failure edit

### Creep edit

### Tribological Mechanisms edit

### Corrosion edit

## Optimization edit

## Modeling edit

# The Contributors

## Peter Norlindh (hpon) edit

MSc in Mechanical Engineering. Initiator of this wikibook.