Shell Structures Theory and Application – Mitchell Gohnert (EHCS0010)

Shell Structures Theory and Application – Mitchell Gohnert

Contents

1. Introduction

2 Construction Materials and Stress Flow

2.1 Introduction

2.2 The Basic Characteristics of Stresses and Strains

2.3 Economy of Stresses

2.4 The Flawed Nature of Construction Materials

2.5 The Flow of Stress in Flat and Curved Walls

2.6 The Flow of Stress around Openings

2.7 Exercises

3. Cylindrical Shells

3.1 Introduction

3.2 The Membrane Theory of Cylindrical Shells

3.3 Displacement Theory for Membrane Stresses

3.4 Boundary Effects

3.5 Displacement Theory for the Boundary Effects

3.6 Compatibility Equations

3.7 Steps in Solving the Deformations and Stresses in the Shell

3.8 Worked Example

3.9 Exercises

4. Circular Domes

4.1 Introduction

4.2 The Membrane Theory of the Circular Dome

4.3 Displacement Theory

4.4 Boundary Effects

4.5 Displacement Theory of the Boundary Effects

4.6 Compatibility Equations

4.7 Steps in Solving the Deformations and Stresses in the Shell

4.8 Worked Example

4.9 Exercises

5. Derivatives of Dome Theory: The Conoidal, Elliptical, and Conical Domes and the Hyperbolic Shell

5.1 Introduction

5.2 Conical Shells

5.3 Elliptical Dome

5.4 Conoidal Dome

5.5 Hyperbolic Shell

5.6 Example Solutions and a Comparison of the Circular, Conoidal, Elliptical, and Conical Domes

5.7 Exercises

6. The Circular Barrel Vault

6.1 Introduction

6.2 Membrane Theory of the Barrel Vault

6.3 Deformation Theory

6.4 Shallow Shell Theory to Solve for the Boundary Effects

6.5 Edge Beams

6.6 Steps in Solving the Deformations and Stresses in the Shell

6.7 Worked Examples

6.8 Exercises

7. Catenary Arches and Domes

7.1 Introduction

7.2 The Catenary Arch

7.3 The Funicular Arch

7.4 Membrane Theory of Catenary Domes

7.5 Worked Examples

7.6 Exercises

Shell Structures Theory and Application – Mitchell Gohnert