Inelastic nonuniform torsion of bars of doubly symmetric cross section by BEM

2011 ◽  
Vol 89 (23-24) ◽  
pp. 2388-2401 ◽  
Author(s):  
E.J. Sapountzakis ◽  
V.J. Tsipiras
Keyword(s):  
Cross Section ◽  
Nonuniform Torsion

Nonuniform torsion of bars of variable cross section

2004 ◽  
Vol 82 (9-10) ◽  
pp. 703-715 ◽  
Author(s):  
E.J. Sapountzakis ◽  
V.G. Mokos
Keyword(s):  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Nonuniform Torsion

The Effects of Web Deformation on the Torsion of I-Beams

1944 ◽  
Vol 11 (1) ◽  
pp. A35-A40
Author(s):  
J. N. Goodier ◽  
M. V. Barton
Keyword(s):  
Cross Section ◽  
Numerical Examples ◽  
End Conditions ◽  
Bending Stresses ◽  
Nonuniform Torsion ◽  
Stress And Deformation ◽  
The Web

Abstract An analysis of the I-beam in nonuniform torsion, as for instance, when a built-in end or section of symmetry is prevented from warping, is made which includes not only the bending of the flanges in their own planes (as considered previously by Timoshenko) but also a deformation of the web cross section. This extends the theory to thinner webs and permits the satisfaction of more general end conditions. Numerical examples worked out for three sections, differing in web thickness only, show that the stress and deformation are significantly modified by the web flexibility when the web is sufficiently thin, and that there are then bending stresses in the web which may be larger than the bending stresses in the flanges. Only the unbuckled state of the web is considered.

An Approximate Nonuniform Bending Theory and Its Application to the Swept-Plate Problem

1955 ◽  
Vol 22 (3) ◽  
pp. 383-388
Author(s):  
H. J. Plass
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Calculus Of Variations ◽  
Cross Section ◽  
Close Agreement ◽  
Rectangular Cross Section ◽  
Experimental Results ◽  
Nonuniform Torsion

Abstract Differential equations and boundary conditions are derived, by means of the calculus of variations, for cylindrical bars in nonuniform bending. The resulting equations are used, together with similar nonuniform torsion equations, to obtain deflections and stresses in swept cantilever plates of uniform rectangular cross section. Comparisons are made with experimental results for plates with four different sweep angles. The theory predicts deflections quite close to those found experimentally. Stresses computed from the equations, however, are not in as close agreement. It is also noticed that the theory is less accurate for large sweep angles than for small ones.

XUV Absorption Spectra of Carbon Ions

1988 ◽  
Vol 102 ◽  
pp. 71-73
Author(s):  
E. Jannitti ◽  
P. Nicolosi ◽  
G. Tondello
Keyword(s):  
Absorption Spectra ◽  
Cross Section ◽  
Theoretical Calculations ◽  
Photoionization Cross Section ◽  
Carbon Ions

AbstractThe photoabsorption spectra of the carbon ions have been obtained by using two laser-produced plasmas. The photoionization cross-section of the CV has been absolutely measured and the value at threshold, σ=(4.7±0.5) × 10−19cm2, as well as its behaviour at higher energies agrees quite well with the theoretical calculations.

Elastic Scattering in Electron Microscopy

1973 ◽  
Vol 31 ◽  
pp. 252-253
Author(s):  
J. Langmore ◽  
M. Isaacson ◽  
J. Wall ◽  
A. V. Crewe
Keyword(s):  
Electron Microscopy ◽  
Elastic Scattering ◽  
Cross Section ◽  
Quantum Noise ◽  
Dark Field ◽  
Elastic Cross Section ◽  
Biological Molecules ◽  
Dark Field Microscopy ◽  
Field Systems ◽  
Effects Of Radiation

High resolution dark field microscopy is becoming an important tool for the investigation of unstained and specifically stained biological molecules. Of primary consideration to the microscopist is the interpretation of image Intensities and the effects of radiation damage to the specimen. Ignoring inelastic scattering, the image intensity is directly related to the collected elastic scattering cross section, σɳ, which is the product of the total elastic cross section, σ and the eficiency of the microscope system at imaging these electrons, η. The number of potentially bond damaging events resulting from the beam exposure required to reduce the effect of quantum noise in the image to a given level is proportional to 1/η. We wish to compare η in three dark field systems.

A New Approach to the Demonstration of Oxidase-Localization Using Tannic Acid Or Catechin

1973 ◽  
Vol 31 ◽  
pp. 698-699
Author(s):  
V. Mizuhira ◽  
Y. Futaesaku
Keyword(s):  
Cross Section ◽  
Tannic Acid ◽  
Elastic Fiber ◽  
The Other ◽  
New Approach ◽  
Tissue Block ◽  
Active Reaction ◽  
The Cross

Previously we reported that tannic acid is a very effective fixative for proteins including polypeptides. Especially, in the cross section of microtubules, thirteen submits in A-tubule and eleven in B-tubule could be observed very clearly. An elastic fiber could be demonstrated very clearly, as an electron opaque, homogeneous fiber. However, tannic acid did not penetrate into the deep portion of the tissue-block. So we tried Catechin. This shows almost the same chemical natures as that of proteins, as tannic acid. Moreover, we thought that catechin should have two active-reaction sites, one is phenol,and the other is catechole. Catechole site should react with osmium, to make Os- black. Phenol-site should react with peroxidase existing perhydroxide.

Electron Irradiation Effects in Polyoxymethylene Crystals Grown Inside Trioxane Crystals

1971 ◽  
Vol 29 ◽  
pp. 78-79
Author(s):  
J. P. Colson ◽  
D. H. Reneker
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Detailed Examination ◽  
The Other ◽  
Electron Micrograph ◽  
Irradiation Effects ◽  
Threefold Axis ◽  
Typical Sample ◽  
Polymer Crystals ◽  
Chain Axis

Polyoxymethylene (POM) crystals grow inside trioxane crystals which have been irradiated and heated to a temperature slightly below their melting point. Figure 1 shows a low magnification electron micrograph of a group of such POM crystals. Detailed examination at higher magnification showed that three distinct types of POM crystals grew in a typical sample. The three types of POM crystals were distinguished by the direction that the polymer chain axis in each crystal made with respect to the threefold axis of the trioxane crystal. These polyoxymethylene crystals were described previously.At low magnifications the three types of polymer crystals appeared as slender rods. One type had a hexagonal cross section and the other two types had rectangular cross sections, that is, they were ribbonlike.

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