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Materials - Mechanics | Structural Shell Analysis - Understanding and Application

Structural Shell Analysis

Understanding and Application

Blaauwendraad, Johan, Hoefakker, Jeroen H.

2014, XV, 300 p. 148 illus.

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  • Clear derivation of differential equations
  • Worked out solutions for realistic cases occurring in civil engineering
  • Variety of shell types

The mathematical description of the properties of a shell is much more elaborate than those of beam and plate structures. Therefore many engineers and architects are unacquainted with aspects of shell behaviour and design, and are not familiar with sufficiently reliable shell theories for the different shell types as derived in the middle of the 20th century. Rather than contributing to theory development, this university textbook focuses on architectural and civil engineering schools. Of course, practising professionals will profit from it as well.

The book deals with thin elastic shells, in particular with cylindrical, conical and spherical types, and with elliptic and hyperbolic paraboloids. The focus is on roofs, chimneys, pressure vessels and storage tanks. Special attention is paid to edge bending disturbance zones, which is indispensable knowledge in FE meshing. A substantial part of the book results from research efforts in the mid 20th century at Delft University of Technology. As such, it is a valuable addition to the body of shell research literature of continuing importance.

This work can be used for university courses. It also shows professionals how to perform manual calculations of the main force flow in shell structures, and provides guidance for structural engineers estimating stresses and deformations.

Content Level » Upper undergraduate

Keywords » axisymmetric loading - circular cylindrical shells - membrane behaviour - shell analysis - thin shells

Related subjects » Civil Engineering - Computational Intelligence and Complexity - Engineering - Mechanical Engineering - Mechanics

Table of contents 


1. Introduction to shells

Part I Membrane Theory and Edge Disturbances 

2. Membrane theory for shells with principal curvatures

3. Membrane theory for shells of arbitrary curvatures

4. Application of membrane theory to circular cylindrical shells

5. Edge disturbance in circular cylindrical shell under axisymmetric load

Part II Roof Structures

6. Donnell bending theory for shallow shells

7. Circular cylindrical roof

8. Hyperbolic and elliptic paraboloid roofs

Part III Chimneys and Storage Tanks

9. Morley bending theory for circular cylindrical shells

10. Semi-Membrane Concept theory for circular cylindrical shells

11. Analysis by circular cylindrical super elements

12. Chimneys

13. Storage tanks

Part IV Cones and Spheres

14. Membrane behaviour of shells of revolution under axisymmetric loading

15. Edge disturbance in shells of revolution due to axisymmetric loading

Part V Capita Selecta

16. Introduction to buckling

17. FEA for shells of irregular shape



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