Plane section recurrences in the Pascal pyramid

2020 ◽  
Vol 50 (5) ◽  
pp. 1561-1566
Author(s):  
Hacène Belbachir ◽  
Abdelghani Mehdaoui
Keyword(s):  
Plane Section

scholarly journals The fixed-effects analysis of the relation between SDAS and carbides for the airfoil blade traces

2017 ◽  
Vol 62 (1) ◽  
pp. 235-239 ◽  
Author(s):  
J. Pietraszek ◽  
A. Szczotok ◽  
N. Radek
Keyword(s):  
Image Analysis ◽  
Fixed Effects ◽  
Turbine Blades ◽  
General Linear Model ◽  
Fixed Effect Model ◽  
Primary Objective ◽  
Plane Section ◽  
Effect Model ◽  
Section Area ◽  
The Mean

Abstract The primary objective was to test a usefulness of the specific fixed-effect model for the analysis of quantitative relationships gathered from the image analysis of the material microstructures. The dataset was obtained from the investigation of turbine blades made from superalloy IN713C. The analysis based on the general linear model resulted in informative plots revealing mutual relationships between secondary dendrite arm spacing and the mean plane section area of carbides in the material. Directions for further research also were obtained.

On a Particular Plane Section of the Torus

1965 ◽  
Vol 38 (3) ◽  
pp. 161-161
Author(s):  
Joseph D. E. Konhauser
Keyword(s):  
Plane Section

scholarly journals Photoelastic Analysis of Three-Dimensional Stress Systems using Scattered Light

1940 ◽  
Vol 44 (349) ◽  
pp. 74-88 ◽  
Author(s):  
R. Weller ◽  
J. K. Bussey
Keyword(s):  
Elementary Theory ◽  
Scattered Light ◽  
Three Dimensional ◽  
Plane Section ◽  
Stress System ◽  
Principal Stresses ◽  
State Of Stress ◽  
Polarised Light ◽  
Photoelastic Analysis ◽  
Good Agreement

SummaryA method has been developed for making photoelastic analyses of threedimensional stress systems by utilising the polarisation phenomena associated with the scattering of light. By this method, the maximum shear and the directions of the three principal stresses at any point within a model can be determined, and the two principal stresses at a free-bounding surface can be separately evaluated. Polarised light is projected into the model through a slit so that it illuminates a plane section. The light is continuously analysed along its path by scattering and the state of stress in the illuminated section is obtained. By means of a series of such sections, the entire stress field may be explored. The method was used to analyse the stress system of a simple beam in bending. The results were found to be in good agreement with those expected from elementary theory.

Multi-Scale Elastoplastic Dynamic Analysis of Steel Frame Welded Connections under Strong Earthquake Excitation

2014 ◽  
Vol 501-504 ◽  
pp. 1604-1608 ◽  
Author(s):  
Er Nian Zhao ◽  
Wei Lian Qu
Keyword(s):  
Dynamic Analysis ◽  
Strong Earthquake ◽  
Steel Frame ◽  
Plane Section ◽  
Scale Model ◽  
Determination Method ◽  
Contrastive Analysis ◽  
Earthquake Excitation ◽  
Multi Scale ◽  
Flat Section

Multi-scale elastoplastic dynamic analysis of the welded connections is conducted under the strong earthquake excitation based on a steel frame engineering case. Two types of multi-scale model are built for the contrastive analysis, and the plastic deformation of the connection section is extracted to investigate the application of the plane-section assumption. The results indicate that elastic-plastic status makes the column and beam sections not meet the flat section assumption. Finally, the determination method of the refined modeling zone is studied based on the application of the plane-section assumption.

Buckling Analysis on Pechiko Field of Fixed Offshore Platform in Makassar Strait

2015 ◽  
Vol 776 ◽  
pp. 313-318
Author(s):  
Muhammad Zubair Muis Alie ◽  
Y.R. Palentek ◽  
D.G. Sesa
Keyword(s):  
3D Model ◽  
Compressive Load ◽  
Fe Analysis ◽  
Buckling Analysis ◽  
Plane Section ◽  
Offshore Platform ◽  
Element Analysis ◽  
Axial Compressive Load ◽  
Fixed Offshore Platform ◽  
Good Agreement

One of the most important criterion in the design of fixed offshore platform is to have strength from applied loads which is acting perpendicular to jacket leg section such as axial compression.The axial compressive load acts vertically downward to jacket legs and the deformation on the jacket legs in horizontal direction due to this load is called buckling. In the present study, buckling analysis on pechiko field of fixed offshore platform is performed using Finite Element Analysis (FEA). The fixed jacket platform namely tripod and tetrapod are taken as the object of the analysis. Only the axial compressive load is used in the analysis and the boundary conditions are assumed to be fixed both tripod and tetrapod at the bottom seabed. As a fundamental case, buckling analysis is carried out in plane-section (2D analysis), then the result obtained by FE analysis is compared with the analytical solution.It is found that the result obtained by FE analysis for the critical buckling load is in good agreement with the analytical solution, and the applicability of FE analysis is further used to investigate the deformation of 3D model.

The determination of the orientation of section planes of meteoritic irons

1942 ◽  
Vol 26 (176) ◽  
pp. 141-166 ◽  
Author(s):  
Max H. Hey
Keyword(s):  
Direct Method ◽  
Plane Section ◽  
General Plane ◽  
Meteoritic Iron ◽  
Crystallographic Axes

The Widmanstetter figures on a general plane section of a meteoritic iron of the octahedrite class consist of kamacite bands running in four directions, the traces of the four planes of the octahedron, while tessellated octahedrites show three more sets of bands, the traces of the cube planes. The angles which these bands make with one another give data which are in principle sufficient to define the crystallographic axes of the iron, but in practice there does not appear to be any simple direct method of effecting this definition. In the following, two simpler cases are first discussed, followed by a method for the general case somewhat shorter than any published method I am aware of, and by methods for orientation from the Neumann lines and from inclusions.

Flexural Performance of Glued Laminated Bamboo Beams

2010 ◽  
Vol 168-170 ◽  
pp. 1700-1703 ◽  
Author(s):  
Yang Wei ◽  
Shen Xue Jiang ◽  
Qing Fang Lv ◽  
Qi Sheng Zhang ◽  
Li Bin Wang ◽  
...  
Keyword(s):  
Strain Distribution ◽  
Large Scale ◽  
Failure Modes ◽  
Plane Section ◽  
Cross Sectional ◽  
Flexural Performance ◽  
Design Load ◽  
Laminated Bamboo ◽  
Buckling Failure ◽  
Wooden Structures

Bamboo structures have a good performance like wooden structures. The flexural performance of glued laminated bamboo beams for bamboo structures were studied through ten large-scale beams tested. The study investigated the failure modes of bamboo beams, flexural capacity, cross-sectional stiffness and strain distribution. In test, four kinds of typical failure modes of bamboo beams include brittle fracture of the bottom fiber, compressive buckling failure at the top of the bamboo strips layers, stratified fracture and oblique tear of the bottom fiber. The control condition of the design load was the cross-sectional stiffness rather than the flexural strength according to the experimental results. The flexural elastic modulus of 10GPa is suggested to check deformation of bamboo beams in the design. The plane-section assumption of cross-sectional strain distribution along the height is verified for bamboo beams.

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