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SHELL STRUCTURES


 

INTRODUCTION


THE SHELL STRUCTURE IS TYPICALLY FOUND IN NATURE AS WELL AS IN CLASSICAL ARCHITECTURE. ITS EFFICIENCY IS BASED ON ITS CURVATURE (SINGLE OR DOUBLE), WHICH ALLOWS A MULTIPLICITY OF ALTERNATIVE STRESS PATHS AND GIVES THE OPTIMUM FORM FOR TRANSMISSION OF MANY DIFFERENT LOAD TYPES. VARIOUS DIFFERENT TYPES OF STEEL SHELL STRUCTURES HAVE BEEN USED FOR INDUSTRIAL PURPOSES; SINGLY CURVED SHELLS, FOR EXAMPLE, CAN BE FOUND IN OIL STORAGE TANKS, THE CENTRAL PART OF SOME PRESSURE VESSELS, IN STORAGE STRUCTURES SUCH AS SILOS, IN INDUSTRIAL CHIMNEYS AND EVEN IN SMALL STRUCTURES LIKE LIGHTING COLUMNS. THE SINGLE CURVATURE ALLOWS A VERY SIMPLE CONSTRUCTION PROCESS AND IS VERY EFFICIENT IN RESISTING CERTAIN TYPES OF LOADS. IN SOME CASES, IT IS BETTER TO TAKE ADVANTAGE OF DOUBLE CURVATURE. DOUBLE CURVED SHELLS ARE USED TO BUILD SPHERICAL GAS RESERVOIRS, ROOFS.

DISTRIBUTED LOADS DUE TO INTERNAL PRESSURE IN STORAGE TANKS, PRESSURE VESSELS OR SILOS, OR TO EXTERNAL PRESSURE FROM WIND, MARINE CURRENTS AND HYDROSTATIC PRESSURES ARE VERY WELL RESISTED BY THE IN-PLANE BEHAVIOUR OF SHELLS. SHELL STRUCTURES OFTEN NEED TO BE STRENGTHENED IN CERTAIN PROBLEM AREAS BY LOCAL REINFORCEMENT. LOCAL REINFORCEMENT IS ALSO OFTEN REQUIRED AT CONNECTIONS BETWEEN SHELL STRUCTURES, SUCH AS COMMONLY OCCUR IN GENERAL PIPING WORK AND IN THE OFFSHORE INDUSTRY. IN CONTRAST TO LOCAL REINFORCEMENT, GLOBAL REINFORCEMENT IS GENERALLY USED TO IMPROVE THE OVERALL SHELL BEHAVIOUR. IN AXISYMMETRIC SHELLS, THE OBVIOUS LOCATION FOR THE STIFFENERS IS ALONG SELECTED MERIDIANS AND PARALLEL LINES, CREATING IN THIS WAY A TRUE MESH
WHICH REINFORCES THE PURE SHELL STRUCTURE. 

THERE ARE TWO MAIN MECHANISMS BY WHICH A SHELL CAN SUPPORT LOADS. ON THE ONE HAND, THE STRUCTURE CAN REACT WITH ONLY IN-PLANE FORCES, IN WHICH CASE IT IS SAID TO ACT AS A MEMBRANE. IN PRACTICE, HOWEVER, REAL STRUCTURES HAVE LOCAL AREAS WHERE EQUILIBRIUM OR COMPATIBILITY OF DISPLACEMENTS AND DEFORMATIONS IS NOT

POSSIBLE WITHOUT INTRODUCING BENDING. 

LOCAL BEHAVIOUR, HOWEVER, IS OFTEN CRITICAL IN DETERMINING STRUCTURAL ADEQUACY. DIMPLING IN DOMES, OR THE DEVELOPMENT OF THE SO-CALLED YOSHIMURA PATTERNS IN COMPRESSED CYLINDERS, ARE PHENOMENA RELATED TO LOCAL BUCKLING THAT INTRODUCE A NEW LEVEL OF COMPLEXITY INTO THE STUDY OF SHELLS. 

THE THEORETICAL LIMITS OF BIFURCATION OF EQUILIBRIUM THAT CAN BE REACHED USING MATHEMATICAL MODELS ARE UPPER LIMITS TO THE BEHAVIOUR OF ACTUAL STRUCTURES; AS SOON AS ANY INITIAL DISPLACEMENT OR SHAPE IMPERFECTION IS PRESENT, THE CURVE IS SMOOTHED.

SHELL STRUCTURES CAN USUALLY BE UNDERSTOOD AS A SET OF BEAMS, ARCHES AND CATENARIES. MAN-MADE SHELL STRUCTURES AS USED IN VARIOUS BRANCHES. ENGINEERING STRUCTURES AND/OR ARCHITECTURAL WORKS WHOSE STRUCTURE IS DEFINED AS THIN-SHELL STRUCTURES FROM AROUND THE WORLD. FINITE ELEMENT ANALYSES OF BUCKLING OF SHELL STRUCTURES. NUMERICAL ANALYSIS OF SHELL STRUCTURES AND ELEMENTS. INTERNATIONAL ASSOCIATION OF SHELL AND SPATIAL STRUCTURES (IASS). THIN SHELL STRUCTURES ARE UNIQUELY SUITED TO CARRYING DISTRIBUTED LOADS AND FIND WIDE APPLICATION AS ROOF STRUCTURES IN BUILDING. EQUILIBRIUM OF SHELL STRUCTURES (OXFORD ENGINEERING SCIENCE SERIES). DESIGN OF PLATE AND SHELL STRUCTURES. SHELL STRUCTURES ARE WIDELY USED IN CIVIL, MECHANICAL, ARCHITECTURAL, AERONAUTICAL, AND MARINE ENGINEERING.





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