Stresses Around a Rib-Reinforced Elliptic Hole in a Circular Cylindrical Shell Under Tension

1977 ◽  
Vol 99 (1) ◽  
pp. 12-16
Author(s):  
S. I. Chou ◽  
Om P. Chaudhary
Keyword(s):  
Cylindrical Shell ◽  
Stress State ◽  
Stress Concentration ◽  
Cross Section ◽  
Circular Cylindrical Shell ◽  
Elliptic Hole ◽  
Axial Tension ◽  
Bending Stresses ◽  
Curvature Parameter ◽  
Moduli Of Elasticity

The stress state around a rib reinforced elliptic hole in a circular cylindrical shell under axial tension at its ends is determined by perturbation in terms of a curvature parameter and the eccentricity of the elliptic hole. The reinforcing rib is assumed to be rectangular in cross section, and has extensional, flexural and torsional rigidities. Nondimensional membrane stresses and bending stresses around the hole are given for different values of E1/E1 where E1 and E are moduli of elasticity of the rib and the shell respectively. It is shown that the reinforcing rib substantially reduces the stress concentration around the hole.

Stresses Around an Elliptic Hole in a Cylindrical Shell

1969 ◽  
Vol 36 (1) ◽  
pp. 39-46 ◽  
Author(s):  
M. V. V. Murthy
Keyword(s):  
Cylindrical Shell ◽  
Stress Distribution ◽  
Theoretical Analysis ◽  
Circular Cylindrical Shell ◽  
Elliptic Hole ◽  
Major Axis ◽  
Axial Tension ◽  
Method Of Solution ◽  
Bending Stresses ◽  
Curvature Parameter

A theoretical analysis is presented for the membrane and bending stresses around an elliptic hole in a long, thin, circular cylindrical shell with the major axis of the hole parallel to the axis of the shell. The analysis has been carried out for the case of axial tension. The method of solution involves a perturbation in a curvature parameter and the results obtained are valid, if the hole is small in size compared to the shell. Formulas, from which the complete stress distribution at the hole can be calculated, are presented.

Stress Concentration in a Stretched Cylindrical Shell With Two Elliptical Holes

1978 ◽  
Vol 45 (4) ◽  
pp. 839-844 ◽  
Author(s):  
E. B. Hansen
Keyword(s):  
Integral Equation ◽  
Cylindrical Shell ◽  
Stress Concentration ◽  
Circular Cylindrical Shell ◽  
Integral Equation Method ◽  
Equation Method ◽  
Center Line ◽  
Axial Tension ◽  
Bending Stresses ◽  
Elliptical Holes

The circumferential membrane and bending stresses at the edges of two identical elliptical holes in a circular cylindrical shell loaded by axial tension are computed by means of an integral equation method. Pairs of holes of which the center line is along a generator of the shell, along a directrix, or in a direction forming an angle of 45° with the generators are considered. For each of these hole configurations results are presented for a number of hole distances, hole sizes, and axis ratios.

Stress Concentration in a Cylindrical Shell Containing a Circular Hole

1971 ◽  
Vol 93 (4) ◽  
pp. 953-961 ◽  
Author(s):  
N. J. I. Adams
Keyword(s):  
Cylindrical Shell ◽  
Stress Concentration ◽  
Hole Radius ◽  
Axial Tension ◽  
State Of Stress ◽  
Curvature Parameter ◽  
Circular Cutout ◽  
Shell Equations ◽  
Plate Solution ◽  
Limiting Value

The state of stress in a cylindrical shell containing a circular cutout was determined for axial tension, torsion, and internal pressure loading. The solution was obtained for the shallow shell equations by a variational method. The results were expressed in terms of a nondimensional curvature parameter which was a function of shell radius, shell thickness, and hole radius. The function chosen for the solution was such that when the radius of the cylindrical shell approaches infinity, the flat-plate solution was obtained. The results are compared with solutions obtained by more rigorous analytical methods, and with some experimental results. For small values of the curvature parameter, the agreement is good. For higher values of the curvature parameter, the present solutions indicate a limiting value of stress concentration, which is in contrast to previous results.

scholarly journals A note on stress concentration around an elliptic hole in micropolar elasticity

1976 ◽  
Vol 19 (3) ◽  
pp. 289-293 ◽  
Author(s):  
Animesh Basu
Keyword(s):  
Stress Concentration ◽  
Elliptic Hole ◽  
Infinite Plate ◽  
Micropolar Elasticity ◽  
Micropolar Theory ◽  
Axial Tension

AbstractWithin the scope of Eringen's linearised micropolar theory, this note outlines a solution for the stress concentration around an elliptic hole in an infinite plate under axial tension.

Stress Concentration in a Stretched Cylindrical Shell With Two Equal Circular Holes

1975 ◽  
Vol 42 (1) ◽  
pp. 105-109 ◽  
Author(s):  
P. Seide ◽  
A. S. Hafiz
Keyword(s):  
Cylindrical Shell ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Circular Cylindrical Shell ◽  
Algebraic Equations ◽  
Linear Algebraic Equations ◽  
Wide Range ◽  
Circular Holes ◽  
Limiting Case ◽  
Infinite Set

In this investigation, the stress distribution due to uniaxial tension of an infinitely long, thin, circular cylindrical shell with two equal small circular holes located along a generator is obtained. The problem is solved by the superposition of solutions previously obtained for a cylinder with a single circular hole. The satisfaction of boundary conditions on the free surfaces of the holes, together with uniqueness and overall equilibrium conditions, yields an infinite set of linear algebraic equations involving Hankel and Bessel functions of complex argument. The stress distribution along the boundaries of the holes and the interior of the shell is investigated. In particular, the value of the maximum stress is calculated for a wide range of parameters, including the limiting case in which the holes almost touch and the limiting case in which the radius of the cylinder becomes very large. As is the case for a flat plate, the stress-concentration factor is reduced by the presence of another hole.

Non-Circular Cylindrical Shells of Mid-Plane Asymmetric Construction Subjected to an Internal Pressure

1999 ◽  
Author(s):  
Zhaohui Chen ◽  
Jack R. Vinson
Keyword(s):  
Internal Pressure ◽  
Cross Section ◽  
Circular Cylindrical Shell ◽  
Lateral Displacement ◽  
The United States ◽  
Elastic Behavior ◽  
Material System ◽  
Lateral Deflection ◽  
Sandwich Construction ◽  
Bending Stresses

Abstract In future large cargo transport aircraft, such as the Global Range Transport proposed in the New World Vistas program of the United States Air Force, it is likely that the fuselage cross-section will be non-circular. For efficient cargo space, the fuselage cross-section being investigated is that of a rectangle with rounded corners. In order to minimize the resulting bending stresses, sandwich construction is being investigated, and in particular a mid-plane asymmetric construction is being studied to utilize bending-stretching coupling to minimize these bending stresses still further in the sandwich construction. The bending-stretching coupling can be introduced by using sandwich faces of different thickness and/or different materials and/or different fiber orientation of the composite material. The Theorem of Minimum Potential Energy is employed to investigate the subject problem. In this study, the lateral deflection that is assumed, a separable solution, employs the results of previous investigations: for the axial function, the lateral deflection of the analytical solution for a circular cylindrical shell with various boundary conditions subjected to an internal pressure is used; for the circumferential component of the lateral displacement, the series solution used previously by the authors for a ring solution of the same circumferential shape and loading is used. The magnitude and location of the maximum stresses in each face for each material system is then determined, and the maximum deflection is also found. Thus, the mechanics of the elastic behavior of this elastic thin walled shell subjected to this loading is adequately described. Some example problems are discussed, and various material systems and geometries are compared.

The Flexure of a Uniformly Pressurized, Circular, Cylindrical Shell

1958 ◽  
Vol 25 (4) ◽  
pp. 453-458
Author(s):  
J. D. Wood
Keyword(s):  
Cylindrical Shell ◽  
Potential Energy ◽  
Cross Section ◽  
Circular Cylindrical Shell ◽  
Minimum Potential Energy ◽  
Minimum Potential ◽  
The Cross ◽  
The Moment

Abstract This paper presents the moment-curvature relationship and the components of displacement in the cross section of a uniformly pressurized, long, closed, circular, cylindrical shell. The shell is loaded in one of its principal planes by two equal and opposite terminal couples: First, the shell undergoes small initial displacements. These are formed by superimposing pressurization displacements upon Saint Venant displacements. Second, from this deformed position the shell is perturbed into a system of additional small displacements. A Rayleigh-Ritz technique is used to find the latter displacements from the theorem of minimum potential energy. The point at which the moment-curvature relationship becomes nonlinear is shown by several curves in this paper.

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