Stresses in a Cylindrical Shell Weakened by an Elliptic Hole With Major Axis Perpendicular to Shell Axis

1970 ◽  
Vol 37 (2) ◽  
pp. 539-541 ◽  
Author(s):  
M. V. V. Murthy ◽  
M. N. Bapu Rao
Keyword(s):  
Cylindrical Shell ◽  
Elliptic Hole ◽  
Major Axis ◽  
Shell Axis

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.

Bending of Cord Composite Laminate Cylindrical Shells

2003 ◽  
Vol 70 (3) ◽  
pp. 364-373 ◽  
Author(s):  
A. J. Paris ◽  
G. A. Costello
Keyword(s):  
Cylindrical Shell ◽  
Differential Equations ◽  
Closed Form ◽  
Composite Laminate ◽  
Circular Cylindrical Shell ◽  
Cylindrical Shells ◽  
Axisymmetric Loading ◽  
Shell Axis

A theory for the bending of cord composite laminate cylindrical shells is developed. The extension-twist coupling of the cords is taken into account. The general case of a circular cylindrical shell with cord plies at various angles to the shell axis is considered. The differential equations for the displacements are derived. These equations are solved analytically in closed form for a shell subjected to axisymmetric loading and no in-plane tractions. The results of the current study are compared with the commonly used Gough-Tangorra and Akasaka-Hirano solutions.

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.

Bending of Cord Composite Cylindrical Shells

1999 ◽  
Vol 67 (1) ◽  
pp. 117-127 ◽  
Author(s):  
A. J. Paris ◽  
G. A. Costello
Keyword(s):  
Cylindrical Shell ◽  
Boundary Conditions ◽  
Analytical Method ◽  
Deformation Behavior ◽  
Circular Cylindrical Shell ◽  
Cylindrical Shells ◽  
Middle Surface ◽  
The Matrix ◽  
Shell Axis ◽  
Composite Cylindrical Shells

An analytical method for determining the load-deformation behavior of cord composite cylindrical shells is developed by considering the mechanics of the matrix, the cords, and the shell. To illustrate the method, a circular cylindrical shell with a single ply of uniformly spaced cords parallel to the shell axis is considered. The differential equations for the displacements are derived. These equations are solved analytically in closed form for a shell with the cords on the middle surface and subjected to axisymmetric loading. The deformations are strongly dependent upon the properties of the constituents, including the extension-twist coupling of the cords, and the geometry, boundary conditions, and loading. [S0021-8936(00)02701-X]

Thermal Stresses in Elastic Plates With Elliptic Holes

1974 ◽  
Vol 96 (3) ◽  
pp. 827-832 ◽  
Author(s):  
K. S. Rao ◽  
M. N. Bapu Rao ◽  
T. Ariman
Keyword(s):  
Temperature Distribution ◽  
Thermal Stresses ◽  
Elliptic Hole ◽  
Major Axis ◽  
Free Edge ◽  
Least Square ◽  
Elastic Plates ◽  
Edge Conditions ◽  
Method Of Least Square ◽  
Steady State Heat

The temperature and membrane stress distributions in an elastic square plate with an insulated central elliptic hole are investigated. The temperature varies along coordinates within the plane. The temperature distribution is determined as the solution of the steady state heat conduction equation, then the membrane stresses due to the temperature are analyzed. For both steps, the free edge conditions around the insulated elliptic hole as well as the boundary conditions at the fully restrained outer edges of the plate are satisfied at selected points by the method of least square point matching. The formulation is valid for any arbitrary orientation of the major axis of the elliptic hole. The numerical results for temperature distribution and membrane stresses are presented for two orientations and compared with the corresponding results for a circular hole.

On the stresses around an elliptic hole in a cylindrical shell

1971 ◽  
Vol 12 (1-2) ◽  
pp. 1-20 ◽  
Author(s):  
M. N. B. Rao ◽  
T. Ariman
Keyword(s):  
Cylindrical Shell ◽  
Elliptic Hole
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