scholarly journals Analysis of Rectangular and Circular Cross-section Power Hardening Elements Under Pure Bending

2013 ◽  
Vol 2 (6) ◽  
pp. 84-89 ◽  
Author(s):  
Sergejus Rimovskis ◽  
Arturas Sabaliauskas
Keyword(s):  
Cross Section ◽  
Circular Cross Section ◽  
Pure Bending

Part V.

1938 ◽  
Vol 42 (328) ◽  
pp. 343-346
Keyword(s):  
Cross Section ◽  
Carrying Capacity ◽  
Local Buckling ◽  
Circular Cross Section ◽  
Load Carrying Capacity ◽  
Pure Bending ◽  
Longitudinal Stiffeners ◽  
Load Carrying

In the present paper two forms of instability of monocoque structures in pure bending have been discussed in extenso, viz., the flattening and the local buckling. For ease of calculation it is assumed that the structure is cylindrical, of circular cross section and consisting of a great number of evenly spaced uniform longitudinal stiffeners, denoted stringers and of several evenly spaced uniform transverse stiffeners, called rings. The applicability of the results obtained to practical fuselages of non-circular cross section and the effect of different neglections have been dealt with in §§15 and 20.I.—Preliminary to the discussion of the above problems, the results obtained by different authors concerning both the load carrying capacity of panels after buckling and the failure of stringers have been collected in Part I.

Pure Bending of an Incomplete Torus

1953 ◽  
Vol 20 (2) ◽  
pp. 215-226
Author(s):  
M. A. Sadowsky ◽  
E. Sternberg
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Stress Function ◽  
Circular Cross Section ◽  
Approximate Solutions ◽  
Function Approach ◽  
Initial Stresses ◽  
Pure Bending ◽  
Present Solution ◽  
In Series

Abstract An exact solution in series form is presented for the stresses and displacements in an incomplete torus of circular center line and circular cross section under conditions of pure bending. The solution is preceded by a formal treatment of the case in which the shape of the cross section is arbitrary. This more general problem is reduced to one of axisymmetry, which is in turn attacked by a modification of the stress-function approach of Timpe to rotationally symmetric problems in elasticity theory. The modified stress-function approach, which may be of interest beyond the present application, is referred to general orthogonal axisymmetric co-ordinates, and the solution of the specific problem considered here is based on the use of toroidal co-ordinates. The normal stresses acting on the circular cross sections of the torus are evaluated numerically in an illustrative example and are compared with the results of previous approximate solutions of the same problem. The adaptation of the present solution to the determination of the initial stresses in a complete torus from which a wedge-shaped portion has been removed is indicated.

SAF file: It's really three dimensional file

2018 ◽  
Vol 14 (1) ◽  
pp. 1
Author(s):  
Prof. Dr. Jamal Aziz Mehdi
Keyword(s):  
Cross Section ◽  
Root Canal ◽  
Three Dimensional ◽  
Circular Cross Section ◽  
Circular Motion ◽  
Root Canal Treatment ◽  
Metal Core ◽  
Rotating Blade

The biological objectives of root canal treatment have not changed over the recentdecades, but the methods to attain these goals have been greatly modified. Theintroduction of NiTi rotary files represents a major leap in the development ofendodontic instruments, with a wide variety of sophisticated instruments presentlyavailable (1, 2).Whatever their modification or improvement, all of these instruments have onething in common: they consist of a metal core with some type of rotating blade thatmachines the canal with a circular motion using flutes to carry the dentin chips anddebris coronally. Consequently, all rotary NiTi files will machine the root canal to acylindrical bore with a circular cross-section if the clinician applies them in a strictboring manner

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