Influence of imperfections on the maximum strength of biaxially bent columns

1976 ◽  
Vol 3 (2) ◽  
pp. 186-197 ◽  
Author(s):  
Sriramulu Vinnakota
Keyword(s):  
Residual Stresses ◽  
Computer Program ◽  
Design Methods ◽  
Numerical Results ◽  
Maximum Strength ◽  
Simply Supported

The effect of imperfections on the maximum strength of isolated, simply supported biaxially bent steel H-columns is studied with the help of a computer program. The influence of the pattern and intensity of residual stresses is considered first. The effect of the sign and magnitude of initial crookedness is then examined. Finally, the variation of the influence of residual stresses and initial crookedness with slenderness is presented. It is indicated that the numerical results given and the computer program, could be used to check the validity of the existing design methods, after selecting the representative imperfections.

The Bending, Buckling, and Flexural Vibration of Simply Supported Polygonal Plates by Point-Matching

1961 ◽  
Vol 28 (2) ◽  
pp. 288-291 ◽  
Author(s):  
H. D. Conway
Keyword(s):  
Hydrostatic Pressure ◽  
Boundary Conditions ◽  
Flexural Vibration ◽  
Frequency Equation ◽  
Numerical Results ◽  
Special Technique ◽  
Point Matching ◽  
Buckling Loads ◽  
Simply Supported ◽  
Flexural Vibrations

The bending by uniform lateral loading, buckling by two-dimensional hydrostatic pressure, and the flexural vibrations of simply supported polygonal plates are investigated. The method of meeting the boundary conditions at discrete points, together with the Marcus membrane analog [1], is found to be very advantageous. Numerical examples include the calculation of the deflections and moments, and buckling loads of triangular square, and hexagonal plates. A special technique is then given, whereby the boundary conditions are exactly satisfied along one edge, and an example of the buckling of an isosceles, right-angled triangle plate is analyzed. Finally, the frequency equation for the flexural vibrations of simply supported polygonal plates is shown to be the same as that for buckling under hydrostatic pressure, and numerical results can be written by analogy. All numerical results agree well with the exact solutions, where the latter are known.

Deformation of Rectangular Slender Webplates with Boundary Members Flexible in the Webplate Plane

1966 ◽  
Vol 17 (4) ◽  
pp. 371-394 ◽  
Author(s):  
J. Djubek
Keyword(s):  
Linear Problem ◽  
Numerical Results ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Non Linear

SummaryThe paper presents a solution of the non-linear problem of the deformation of slender rectangular plates which are stiffened along their edges by elastically compressible stiffeners flexible in the plane of the plate. The webplate is assumed to be simply-supported along its contour. Numerical results showing the effect of flexural and normal rigidity of stiffeners are given for a square webplate loaded by shear and compression.

Free Vibration of Thin-Walled Open Section Beams With Unconstrained Damping Treatment

1981 ◽  
Vol 48 (1) ◽  
pp. 169-173 ◽  
Author(s):  
S. Narayanan ◽  
J. P. Verma ◽  
A. K. Mallik
Keyword(s):  
Free Vibration ◽  
Cross Section ◽  
Transverse Vibration ◽  
Natural Frequencies ◽  
Vibration Characteristics ◽  
Numerical Results ◽  
Simply Supported ◽  
Clamped Beams ◽  
Thin Walled ◽  
Open Cross Section

Free-vibration characteristics of a thin-walled, open cross-section beam, with unconstrained damping layers at the flanges, are investigated. Both uncoupled transverse vibration and the coupled bending-torsion oscillations, of a beam of a top-hat section, are considered. Numerical results are presented for natural frequencies and modal loss factors of simply supported and clamped-clamped beams.

Analytical Solutions of Stresses in Functionally Graded Circular Hollow Cylinder with Finite Length

2004 ◽  
Vol 261-263 ◽  
pp. 651-656 ◽  
Author(s):  
Z.S. Shao ◽  
L.F. Fan ◽  
Tie Jun Wang
Keyword(s):  
Young’S Modulus ◽  
Hollow Cylinder ◽  
Finite Length ◽  
Analytical Solutions ◽  
Radial Direction ◽  
Young's Modulus ◽  
Functionally Graded ◽  
Numerical Results ◽  
Stress Fields ◽  
Simply Supported

Analytical solutions of stress fields in functionally graded circular hollow cylinder with finite length subjected to axisymmetric pressure loadings on inner and outer surfaces are presented in this paper. The cylinder is simply supported at its two ends. Young's modulus of the material is assumed to vary continuously in radial direction of the cylinder. Moreover, numerical results of stresses in functionally graded circular hollow cylinder are appeared.

An Analytical Solution for Transversely Isotropic Simply Supported Thick Rectangular Plates Using Displacement Potential Functions

2011 ◽  
Vol 46 (2) ◽  
pp. 121-142 ◽  
Author(s):  
M Nematzadeh ◽  
M Eskandari-Ghadi ◽  
B Navayi Neya
Keyword(s):  
Isotropic Material ◽  
Transversely Isotropic ◽  
Numerical Results ◽  
Potential Functions ◽  
Constant Thickness ◽  
Rectangular Plates ◽  
Displacement Potential ◽  
Simply Supported ◽  
Axial Forces ◽  
Internal Forces

Using a complete set of displacement potential functions, the exact solution of three-dimensional elasticity equations of a simply supported rectangular plates with constant thickness consisting of a transversely isotropic linearly elastic material subjected to an arbitrary static load is presented. The governing partial differential equations for the potential functions are solved through the use of the Fourier method, which results in exponential and trigonometric expression along the plate thickness and the other two lengths respectively. The displacements, stresses, and internal forces are determined through the potential functions at any point of the body. To prove the validity of this approach, the analytical solutions developed in this paper are degenerated for the simpler case of plates containing isotropic material and compared with the existing solution. In addition, the numerical results obtained from this study are compared with those reported in other researches for the isotropic material, where excellent agreement is achieved for both thin and thick plates. The results show that increasing the thickness ratios of the plate causes compressive axial forces and central shear forces inside the plate. Finally, the internal forces and displacement components are calculated numerically for several kinds of transversely isotropic materials with different anisotropies and are compared with a finite element (FE) solution obtained from the ANSYS software, where the high accuracy of the present method is demonstrated. The effects of the material anisotropy are clearly revealed in the numerical results presented.

Elasto-Plastic Behavior of Thermoplastic Matrix Roller Chain Link Plates Reinforced With Steel Fibers

2000 ◽  
Author(s):  
Nurettin Arslan ◽  
Erol Sancaktar ◽  
Mehmet Celik
Keyword(s):  
Finite Element ◽  
Residual Stresses ◽  
Computer Program ◽  
Stress Analysis ◽  
Steel Fibers ◽  
Finite Elements Analysis ◽  
Roller Chain ◽  
Thermoplastic Matrix ◽  
Chain Link ◽  
Plastic Stress

Abstract The elastic and elasto-plastic stress analysis of thermoplastic matrix roller chain link plates reinforced with steel fibers is performed by using Finite Elements Analysis (FEA). A two-dimensional finite element computer program is developed for elasto-plastic stress analysis. Isoparametric quadratic element with four nodes is used with Lagrange polynomial as an interpolation function. The results of elastic and elasto-plastic finite element stress analysis by using the computer program prepared, are compared with experimental, (photoelastic) results. The spreads of the plastic zones due to the external load applied on the pin-hole of the plate and variations of the residual stresses are determined in different orientation angles and loads. It is shown that the geometry of the link plates can be designed to decrease the stress concentrations. Furthermore, it is shown that the tensile load limit of the roller chain link plate is extended by the residual stresses.

Buckling of Sandwich Panels with Laminated Face Plates

1972 ◽  
Vol 23 (2) ◽  
pp. 148-160 ◽  
Author(s):  
T R A Pearce ◽  
J P H Webber
Keyword(s):  
Carbon Fibre ◽  
Sandwich Panels ◽  
Numerical Results ◽  
Simply Supported ◽  
Face Plate ◽  
Honeycomb Cores ◽  
Orthotropic Properties ◽  
Overall Buckling

SummaryThe buckling of simply-supported sandwich panels, made up from fibre reinforced laminated face plates and honeycomb cores, is considered when they are subjected to uniform end loading. Numerical results are given for both overall buckling and face plate wrinkling for panels having typical carbon fibre faces with the laminations arranged to give effectively orthotropic properties.

Evolution of the residual stresses and temperature during polymerization of bone cement of an idealized hip implant: numerical results

2006 ◽  
Vol 39 ◽  
pp. S122
Author(s):  
N. Nuño ◽  
M.A. Pérez ◽  
D. Plamondon ◽  
A. Madrala ◽  
J.M. García-Aznar ◽  
...  
Keyword(s):  
Residual Stresses ◽  
Bone Cement ◽  
Numerical Results ◽  
Hip Implant

Further Debate about Visual Design Methods for Pile Foundation

2013 ◽  
Vol 477-478 ◽  
pp. 499-502
Author(s):  
Sheng Feng Zou ◽  
Jing Yu Zhang ◽  
Shi Ji Wang ◽  
Yi Han ◽  
Chuan Wang
Keyword(s):  
Computer Program ◽  
Bearing Capacity ◽  
Pile Foundation ◽  
Design Methods ◽  
Visual Design ◽  
Foundation Design ◽  
End Bearing Capacity ◽  
Capacity Data ◽  
Engineering Practices ◽  
The Way

The computing of end-bearing capacity of pile has vital significances for foundation design while the foundations analysis is usually problematic due to those diverse soils and engineering conditions. Though various CPT-based methods which have already been applied in numerous huge engineering practices are available for the analysis of pile foundation bearing capacity home and abroad, there still seemed lacking legitimate guidance assisting to select these formulations quite effectively. In this paper, five CPT-based design methods are compared in deep, the realization through computer program is also presented, with the capacity data accumulated from pile engineering coming into mind, we are on the way to making designers choose better methods during the designing process.

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