A Calculation Method of High-Pier's Effective Length Factor Considering the Dead Weight

2013 ◽  
Vol 361-363 ◽  
pp. 1278-1283
Author(s):  
Peng Liu ◽  
Rui Zhi Wang ◽  
Fei Zheng ◽  
Qiong He
Keyword(s):  
Boundary Conditions ◽  
Calculation Method ◽  
Critical Force ◽  
Effective Length ◽  
Ideal Boundary ◽  
Dead Weight ◽  
Numerical Examples ◽  
First Order ◽  
Effective Length Factor ◽  
High Pier

Nowadays, uncertainty regarding the calculation method of effective length factor of high-pier has brought many inconveniences to the design of bridge. To solve the problem, this paper demonstrates the calculation method of effective length factor on the basis of Eulers formula considering both the influence of high-pier s dead weight and non-ideal boundary conditions on the critical force of first-order buckling. The influence of piers dead weight on effective length factor in the construction and finished stage are evaluated by numerical examples. Results show that: the effective length factor becomes smaller considering dead weight both in construction and finished stage. Moreover, high-piers dead weight causes more influence in the construction stage than finished stage which should be considered seriously in the design and construction.

Parameter Analysis on High-Pier's Effective Length Factor of Fabricated Beam Bridge

2013 ◽  
Vol 361-363 ◽  
pp. 1272-1277
Author(s):  
Peng Liu ◽  
Yong Jun Li ◽  
Fei Zheng ◽  
Jie Rui
Keyword(s):  
Critical Force ◽  
Parameter Analysis ◽  
Effective Length ◽  
Ideal Boundary ◽  
Dead Weight ◽  
First Order ◽  
Effective Length Factor ◽  
High Pier ◽  
The Stability ◽  
Beam Bridge

This paper illustrates the calculation method of effective length factor of the high-pier of fabricated beam bridge on the basis of Eulers formula by obtaining the critical force of first-order buckling according to the stability analysis. Engineering example is applied to calculate the effective length factor in the construction stage of fabricated beam bridge. Further, parameter analysis is used to study the variation of effective length factor and the influence of dead weight, non-ideal boundary conditions, the height and the radius of high-pier on it is evaluated. Results show that: there are many influencing factors acting on the effective length factor which cannot simply be represented by a fixed value and the calculation of the effective length factor should depend on the specific conditions of high-piers.

Energy Method for the Calculation of High-Pier's Effective Length Factor at the Finished Stage

2013 ◽  
Vol 361-363 ◽  
pp. 1115-1118
Author(s):  
Peng Liu ◽  
Jie Rui ◽  
Bo Lei ◽  
Fei Zheng
Keyword(s):  
Boundary Conditions ◽  
Energy Method ◽  
Good Accuracy ◽  
Shape Function ◽  
Great Influence ◽  
Effective Length ◽  
Ideal Boundary ◽  
Effective Length Factor ◽  
High Pier ◽  
The One

This paper establishes the shape function of high-pier with non-ideal boundary conditions in the top and uses the energy method to calculate its critical load. Then its effective length factor is achieved by using Euler's formula. Further, the FEM and energy method are respect used to calculate the effective length factor of the engineering example and comparative analysis is carried on. Results show that: The non-ideal boundary conditions have great influence on the effective length factor and should be considered in the calculation. The result from the formula of energy method is nearly the same as the one from the FEM which demonstrates this method is of good accuracy to calculate the effective length factor of high-pier. In addition, it is also of great convenience in the design of high-piers.

Layered Geometric Nonlinear Shallow Shells for Variable Form Investigation

2014 ◽  
Vol 988 ◽  
pp. 359-362 ◽  
Author(s):  
Leonid U. Stupishin ◽  
Aleksander G. Kolesnikov
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Calculation Method ◽  
Middle Surface ◽  
Critical Force ◽  
Force Coefficient ◽  
Program Complex ◽  
Shallow Shells ◽  
Variable Form ◽  
Geometric Nonlinear

Layered shallow shells based on rectangular plan variation form are considered. Middle surface of shells depends on the high of supporting arches, the boundary conditions, and the thickness. Form of shall variation on the critical force coefficient and stress of shell are investigate with the help of Bubnov-Galerkin method. The calculation method has done in the Maple program complex.

scholarly journals Elliptic complexes of first-order cone operators: ideal boundary conditions

2018 ◽  
Vol 291 (11-12) ◽  
pp. 1815-1850
Author(s):  
Thomas Krainer ◽  
Gerardo A. Mendoza
Keyword(s):  
Boundary Conditions ◽  
Ideal Boundary ◽  
First Order ◽  
Elliptic Complexes

Geometric Nonlinear Orthotropic Shallow Shells Investigation

2014 ◽  
Vol 501-504 ◽  
pp. 766-769 ◽  
Author(s):  
Leonid U. Stupishin ◽  
Aleksander G. Kolesnikov
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Calculation Method ◽  
Middle Surface ◽  
Critical Force ◽  
Force Coefficient ◽  
Program Complex ◽  
Shallow Shells ◽  
Geometric Nonlinear

Orthotropic shallow shells based on rectangular plan variation form are considered. Middle surface of shells depends on the high of supporting arches, the boundary conditions, and the thickness. Form of shall variation on the critical force coefficient and stress of shell are investigate with the help of Bubnov-Galerkin method. The calculation method has done in the Maple program complex.

Geometric Nonlinear Shallow Shells for Variable Thickness Investigation

2014 ◽  
Vol 919-921 ◽  
pp. 144-147 ◽  
Author(s):  
Leonid U. Stupishin ◽  
Alexander G. Kolesnikov
Keyword(s):  
Boundary Conditions ◽  
Galerkin Method ◽  
Variable Thickness ◽  
Calculation Method ◽  
Middle Surface ◽  
Critical Force ◽  
Force Coefficient ◽  
Program Complex ◽  
Shallow Shells ◽  
Variable Form

Shallow shells with variable thickness based on rectangular plan are considered. Middle surface of shells has variable form and depends on the high of supporting arches, the boundary conditions, and the thickness. Critical force coefficient and stresses of variable form shells are investigated by Bubnov-Galerkin method. The calculation method has done by the Maple program complex.

Experimental Investigation of Buckling Length of CFS Lipped Channel Beams under Restrained Boundary Conditions

2014 ◽  
Vol 984-985 ◽  
pp. 140-153
Author(s):  
R. Kandasamy ◽  
R. Thenmozhi
Keyword(s):  
Experimental Investigation ◽  
Boundary Conditions ◽  
Effective Length ◽  
Effective Length Factor ◽  
Buckling Length ◽  
Hot Rolled ◽  
Range Of Values ◽  
Code Provisions

Effective length factor of CFS lipped channel beams subjected to flexure are given in AS/NSZ 4600, Euro code Part 1.3 and BS 5950, Part V taking into account their buckling phenomena. The coefficients are given for boundary conditions considering the effect of torsion and warping restraint. The effect of torsion and warping restraints is treated by defining the range of values for the coefficients. Lateral torsion buckling of the CFS beams greatly influences the effective length factors. 16 CFS lipped channel beams have been taken for the study with depth of 100mm, flange width 50mm and lip size varies from 10mm to 20mm.Experimental investigation has been carried out to verify the coefficients for the defined boundary conditions. The influence of flange width and lip size on the buckling length has been investigated. The results are compared with the Indian code provisions for hot rolled beams.

scholarly journals On a nonlinear system of Riemann-Liouville fractional differential equations with semi-coupled integro-multipoint boundary conditions

2021 ◽  
Vol 19 (1) ◽  
pp. 760-772
Author(s):  
Ahmed Alsaedi ◽  
Bashir Ahmad ◽  
Badrah Alghamdi ◽  
Sotiris K. Ntouyas
Keyword(s):  
Nonlinear System ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Numerical Examples ◽  
Multipoint Boundary ◽  
Multipoint Boundary Conditions ◽  
Fractional Differential

Abstract We study a nonlinear system of Riemann-Liouville fractional differential equations equipped with nonseparated semi-coupled integro-multipoint boundary conditions. We make use of the tools of the fixed-point theory to obtain the desired results, which are well-supported with numerical examples.

scholarly journals Lidstone–Euler Second-Type Boundary Value Problems: Theoretical and Computational Tools

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Francesco Aldo Costabile ◽  
Maria Italia Gualtieri ◽  
Anna Napoli
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Interpolation Problem ◽  
Boundary Value ◽  
Computational Tools ◽  
Numerical Examples ◽  
Odd Order ◽  
Uniqueness Of The Solution ◽  
Type Boundary

AbstractGeneral nonlinear high odd-order differential equations with Lidstone–Euler boundary conditions of second type are treated both theoretically and computationally. First, the associated interpolation problem is considered. Then, a theorem of existence and uniqueness of the solution to the Lidstone–Euler second-type boundary value problem is given. Finally, for a numerical solution, two different approaches are illustrated and some numerical examples are included to demonstrate the validity and applicability of the proposed algorithms.

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