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.

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.

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.

Excitation of an Elastic Cylindrical Shell by a Transient Acoustic Wave

1969 ◽  
Vol 36 (3) ◽  
pp. 459-469 ◽  
Author(s):  
T. L. Geers
Keyword(s):  
Cylindrical Shell ◽  
Acoustic Wave ◽  
Circular Cylindrical Shell ◽  
Elastic Cylindrical Shell ◽  
Sandwich Shell ◽  
Governing Equations ◽  
Fluid Medium ◽  
Method Of Solution ◽  
Plane Step ◽  
Strain Responses

An infinite, elastic, circular cylindrical shell submerged in an infinite fluid medium is engulfed by a transverse, transient acoustic wave. The governing equations for modal shell response are reduced through the application of a new method of solution to two simultaneous equations in time; these equations are particularly amenable to solution by machine computation. Numerical results are presented for the first six modes of a uniform sandwich shell submerged in water and excited by a plane step-wave. These results are then used to evaluate the accuracy of a number of approximations which have been employed previously to treat this and similar problems. The results are also used to compute displacement, velocity, and flexural strain responses at certain points in the sandwich shell.

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.

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.

Stresses in a Cylindrical Shell Due to Nozzle or Pipe Connection

1945 ◽  
Vol 12 (2) ◽  
pp. A107-A112
Author(s):  
G. J. Schoessow ◽  
L. F. Kooistra
Keyword(s):  
Cylindrical Shell ◽  
Axial Compression ◽  
Strain Gage ◽  
Cylindrical Shells ◽  
Bending Moments ◽  
Compression Loading ◽  
Axial Tension ◽  
Transverse Bending ◽  
Bending Stresses ◽  
Tension Loading

Abstract Results are reported of a strain-gage test conducted on a 54-in-diam cylindrical shell to which was attached two 12-in-diam pipes. The pipes were subjected to direct axial-tension loading, direct axial-compression loading, and transverse bending moments. This construction simulates the conditions which exist in boiler drums, pressure piping, hydraulic penstocks, etc., where pipe connections are subject to forces and moments that develop strains in the shell to which the pipes are attached. Moderate loading applied to the pipes resulted in 20,000-psi bending stresses in the shell. These stresses are of a magnitude that demands the respect and attention of the designers. By publication of these data, the authors hope to stimulate interest in further experimental and analytical investigations of the problem, which eventually will establish a basis for predicting the magnitude of stresses in cylindrical shells. Such data are not now available.

Stress State Around an Elliptic Hole in a Conical Shell Under Tension

1973 ◽  
Vol 95 (1) ◽  
pp. 201-207 ◽  
Author(s):  
S. I. Chou
Keyword(s):  
Stress State ◽  
Conical Shell ◽  
Elliptic Hole ◽  
Cone Angle ◽  
Major Axis ◽  
Membrane Stress ◽  
Arbitrary Angle ◽  
Crack Problems ◽  
Curvature Parameter ◽  
Square Root Singularity

Membrane stress state around an elliptic hole in a conical shell under tension is determined by perturbation in terms of a nondimensional cone angle ε and a nondimensional curvature parameter β. Stress state around the hole in terms of the eccentricity of the elliptic hole whose major axis makes an arbitrary angle with the axis of the shell is given. For a crack making an arbitrary angle with the axis of the shell, stress state in the vicinity of the crack tip is given and shows the inverse square root singularity peculiar to crack problems.

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