Effect of a Concentric Reinforcing Ring on Stiffness and Strength of a Circular Plate

1948 ◽  
Vol 15 (1) ◽  
pp. 25-29
Author(s):  
W. A. Nash
Keyword(s):  
Tangential Stress ◽  
Circular Plate ◽  
Radial Stress ◽  
Normal Pressure ◽  
Pressure Vessels ◽  
Maximum Tangential Stress ◽  
Vertical Deflection ◽  
Concentric Ring ◽  
Thin Walled

Abstract In this study of a fixed-edge circular plate subjected to uniform normal pressure (such as is commonly used on ends of thin-walled cylindrical pressure vessels), it is shown that the maximum vertical deflection, the maximum radial stress, and the maximum tangential stress may all be reduced by reinforcing the plate with a concentric ring.

Optimum Support Position for Flat Plate Subjected to Pressure

1961 ◽  
Vol 65 (612) ◽  
pp. 832-834 ◽  
Author(s):  
R. Kitching
Keyword(s):  
Flat Plate ◽  
Circular Plate ◽  
Normal Pressure ◽  
Constant Thickness ◽  
Bending Stress ◽  
Plate Material ◽  
Concentric Ring ◽  
Simply Supported ◽  
Ring Radius ◽  
Supporting Ring

When a circular plate of constant thickness is simply supported on a concentric ring and is subjected to a uniform normal pressure, there is a radius for the supporting ring giving optimum bending stress conditions in the plate. Assuming the plate deflections are small, it is concluded that the required supporting ring radius varies between 70·1 and 73·0 per cent of the outside radius of the plate, depending on the value of Poisson's Ratio for the plate material.

scholarly journals A New Unified Solution for Deep Tunnels in Water-Rich Areas considering Pore Water Pressure

Geofluids ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Hao Fan ◽  
Lianguo Wang ◽  
Shuai Wang ◽  
Chongyang Jiang
Keyword(s):  
Principal Stress ◽  
Tangential Stress ◽  
Pore Water ◽  
Radial Stress ◽  
Pore Water Pressure ◽  
Water Pressure ◽  
Surface Displacement ◽  
Intermediate Principal Stress ◽  
Maximum Tangential Stress ◽  
Coulomb Criterion

Pore water pressure has an important influence on the stresses and deformation of the surrounding rock of deep tunnels in water-rich areas. In this study, a mechanical model for deep tunnels subjected to a nonuniform stress field in water-rich areas is developed. Considering the pore water pressure, a new unified solution for the stresses, postpeak zone radii, and surface displacement is derived based on a strain-softening model and the Mogi-Coulomb criterion. Through a case study, the effects of pore water pressure, intermediate principal stress, and residual cohesion on the stress distribution, postpeak zone radii, and surface displacement are also discussed. Results show that the tangential stresses are always larger than the radial stress. The radial stress presents a gradually increasing trend, while the tangential stress presents a trend of first increasing and then decreasing, and the maximum tangential stress appears at the interface between the elastic and plastic zones. As the pore water pressure increases, the postpeak zone radii and surface displacement increase. Because of the neglect of the intermediate principal stress in the Mohr-Coulomb criterion, the postpeak zone radii, surface displacement, and maximum tangential stress solved by the Mohr-Coulomb criterion are all larger than those solved by the Mogi-Coulomb criterion. Tunnels surrounded by rock masses with a higher residual cohesion experience lower postpeak zone radii and surface displacement. Data presented in this study provide an important theoretical basis for supporting the tunnels in water-rich areas.

The Buckling of a Circular Plate With a Concentric Circular Hot-Spot

1960 ◽  
Vol 64 (590) ◽  
pp. 105-106 ◽  
Author(s):  
K. I. McKenzie
Keyword(s):  
Critical Temperature ◽  
Circular Plate ◽  
Radial Stress ◽  
Hot Spot ◽  
Clamped Plate ◽  
Inverse Square Law ◽  
Cold Part

If a circular plate has a concentric circular hot area, there is a critical temperature for this area at which the plate buckles. This temperature is calculated in this note for the case of a clamped plate supported in such a way that the radial stress in the cold part obeys the inverse square law.

Stress Relaxation in Press-Fitted Joints

1976 ◽  
Vol 98 (1) ◽  
pp. 137-140 ◽  
Author(s):  
R. P. Goel
Keyword(s):  
Steady State ◽  
Stress Relaxation ◽  
Circular Plate ◽  
Contact Force ◽  
Radial Stress ◽  
Printed Circuit Boards ◽  
Stress Component ◽  
Circuit Boards ◽  
Printed Circuit ◽  
Relaxation Characteristics

When contact pins, wire wrap posts, etc., are press fitted into printed circuit boards, the contact force at the interface of a post and plate relaxes with time. Much of the relaxation of the contact force occurs immediately after the connection has been made. Theoretical estimates on the reduction in contact force until a steady state (a steady state is assumed to be reached when the stress rates become 1 percent of their initial values) is reached are presented. Since most of the relaxation of the radial stress component occurs in the vicinity of the hole, the effect of adjacent joints on the relaxation characteristics of a joint are neglected. And, therefore, only an idealized geometry of a thin circular plate with a single press-fitted hole is considered.

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