E-book details

Descriptive Geometry for Engineers

Descriptive Geometry for Engineers

Ewa Duda

Ebook

Descriptive geometry is a necessary part of the engineering drawing practice; it stimulates and develops spatial imagination, the ability to visualize three-dimensional objects and the attention of accuracy of the graphical solutions. In this case, the following script contains a large number of auxiliary drawings showing the mutual position of the discussed figures.
The intention of the author is to make this script suitable for ordinary students who begin to study. It contains many practical examples with solutions shown step by step in order to help learners to practice independently. Every chapter also includes exercises as the practice is invaluable and vital in achieving fluency at drawing, reading and analyzing of engineering drafts.
Presented exercises set the direction in preparation for achieving the engineering knowledge and skills.
This script is not substitution of lectures, the attendance and involvement in course at the university is highly advised.
 
Skrypt zawiera materiał z zakresu geometrii wykreślnej dla Wydziału Instalacji Budowlanych, Hydrologii i Inżynierii Środowiska Politechniki Warszawskiej. Celem skryptu jest ułatwienie samodzielnej pracy studentom rozpoczynającym naukę na kierunkach technicznych. Treści teoretyczne uzupełnione zostały praktycznymi przykładami rozwiązanymi metodą „krok po kroku”, pozwalającą na głębsze zrozumienie omawianych zagadnień. Każdy rozdział zawiera dodatkowo zestaw ćwiczeń, które mogą służyć studentom do sprawdzenia stopnia opanowania umiejętności rozwiązywania problemów praktycznych.

Preface 7

Notation 8

1. ELEMENTARY GEOMETRY 9

1.1. Plane geometry 9

1.2. Space geometry 19

1.3. Geometric constructions 22

2. AXONOMETRIC PROJECTION 30

2.1. Parallel projection 30

2.2. Axonometric projection 32

2.3. Practical problems 36

2.4. Applications in engineering 48

2.5. Exercises 53

3. ORTHOGRAPHIC PROJECTIONS 57

3.1. Orthogonal projection 57

3.2. Monge’s projections 59

3.3. Practical problems 64

3.4. Applications in engineering 79

3.5. Exercises 83

4. COMMON ELEMENTS 85

4.1. Intersection of two lines 85

4.2. Intersection of line and plane 91

4.3. Intersection of two planes 102

4.4. Applications in engineering 108

4.5. Exercises 110

5. SURFACES OF REVOLUTION 113

5.1. Principles 113

5.2. Location of point belonging to surface of revolution 116

5.3. Practical problems 122

5.4. Applications in engineering 137

5.5. Exercises 139

6. SECTIONS OF SURFACES OF REVOLUTION 143

6.1. Cylindrical sections 143

6.2. Conic sections 145

6.3. Sphere section 149

6.4. Conics constructions 149

6.5. Practical problems 153

6.6. Applications in engineering 162

6.7. Exercises 164

7. DEVELOPMENTS 167

7.1. Introduction 167

7.2. Parallel line method 167

7.3. Radial line method 173

7.4. Practical problems 184

7.5. Applications in engineering 188

7.6. Exercises 189

8. INTERPENETRATION 192

8.1. Cutting plane method 192

8.2. Practical problems 196

8.3. Applications in engineering 211

8.4. Exercises 216

Acknowledgments 219

Bibliography 220