A conical shell subjected to uniform internal pressure is analysed by the finite element displacement method. The end conditions considered are clamped-clamped (CC), small end clamped-big end free (CF), and small end free-and big end clamped (FC). The semi cone angles considered are (α=) 30, 45 and 60°. It is shown that by properly varying the thickness the deflections and stresses can be brought down considerably. The results are presented in the form of graphs and tables. © 1991.

B. S K Sundarasivarao

Natrajan Ganesan

Graphic methods

Mathematical Techniques--Finite Element Method

MECHANICAL VARIABLES MEASUREMENT--DISTANCE

PRESSURE EFFECTS--STRESSES

Structural Design--Loads

AXISYMMETRIC LOADING

CONICAL SHELLS

INTERNAL PRESSURE

VARYING THICKNESSES

DOMES AND SHELLS

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Deformation of varying thickness of conical shells subjected to axisymmetric loading with various end conditions

Engineering Fracture Mechanics

Orthotropic cylindrical shells with discontinuity in thickness and subjected to asymmetric loading have been analyzed. A higher-order finite element based on thick shell theory is used for the analysis. The material used is a glass/epoxy composite with 0 ° and 90 ° fiber orientation with respect to the axial direction of the cylinder. The loadings considered are a line load along the length of the cylinder and a point load at the mid-section. Numerical results are presented for various end conditions and step-ratios in the thickness. The weight of the shell is kept constant for various step-ratios. It has been shown that a 90 ° fiber orientation gives smaller deformations and stresses for asymmetric loading than a 0 ° fiber orientation. The variation in the thickness reduces the maximum stresses up to a certain step-ratio for various end conditions presented in this paper. © 1994.

Composite Structures

Deformation of orthotropic cylindrical shells with discontinuity in thickness subjected to asymmetric loading

Orthotropic cylindrical shells with discontinuity in the thickness and subjected to axisymmetric loading have been analysed. A higher order finite element based on the thick shell theory is used for the analysis. The material used is a glass/epoxy composite with 0° and 90° fibre orientation with respect to the axial direction of the cylinder. The loadings considered are uniform internal pressure and circular ring load at the mid-section. Numerical results are presented for various end conditions and step-ratios in the thickness. The weight of the shell is kept constant for various step-ratios. It has been shown that 90° fibre orientation gives less deformation and stress for axisymmetric loading than 0° fibre orientation. The variation in the thickness reduces the maximum stresses for some cases of loading and end conditions presented in this paper. © 1994.

Computers and Structures

Deformation of orthotropic cylindrical shells with discontinuity in thickness subjected to axisymmetric loading

The effects of discontinuity in thickness on the stresses and deformations of cylindrical shells under axisymmetric loading have been analysed. Love's first approximation thin-shell theory is used to solve the problem. The loadings considered are uniform internal pressure and circular ring load at the mid-section. The effects of these loads for various end conditions and step ratios in the thickness have been analysed, and the results are presented in the form of tables and graphs. The weight of the shell is kept constant for various step ratios. © 1993.

Deformation of cylindrical shells with discontinuity in thickness subjected to axisymmetric loading

Cylindrical shells with discontinuity in the thickness and that are subjected to axisymmetric loading have been analysed. Two types of finite elements are used: the first is based on thin shell theory and the second on thick shell theory. The loadings considered are a uniform internal pressure and a circular ring load at the mid-section. The effect of these loads for various end conditions and various step-ratios in the thickness have been analysed. Numerical results are presented and compared for both the theories. It has been shown that the transverse normal stress acting along the thickness direction is not negligible compared to other stresses at places of discontinuity either in the thickness or in the loading. The weight of the shell is kept constant for various step-ratios. © 1993.

Journal	Engineering Fracture Mechanics
ISSN	00137944
Open Access	No