scholarly journals Side busking of the cantilever beam with narrow rectangular cross section

2019 ◽  
Vol 97 ◽  
pp. 04066
Author(s):  
Serdar Yazyev ◽  
Ivan Zotov ◽  
Dmitriy Vysokovsky ◽  
Batyr Yazyev
Keyword(s):  
Analytical Solution ◽  
Cross Section ◽  
Beam Energy ◽  
Secular Equation ◽  
Rectangular Cross Section ◽  
Critical Force ◽  
Lateral Buckling ◽  
Concentrated Force ◽  
Comparison Of The Results ◽  
The Relationship

The problem of lateral buckling of a cantilever strip with a constant narrow cross section loaded with a concentrated force at the end of the span is considered. In the study of lateral buckling of beam energy method was used. For the case of load application in the center of gravity, the problem is reduced to a generalized secular equation. The relationship between the magnitude of the critical force and the position of the point of application of the load. A comparison of the results obtained by the authors with an analytical solution using infinite series and a numerical iterative method is shown.

scholarly journals Flat bending shape stability of the beams with variable section width

2020 ◽  
Vol 164 ◽  
pp. 02016
Author(s):  
Anastasia Lapina ◽  
Serdar Yazyev ◽  
Anton Chepurnenko ◽  
Irina Dubovitskaya
Keyword(s):  
Trigonometric Series ◽  
Cross Section ◽  
Secular Equation ◽  
Rectangular Cross Section ◽  
Twist Angle ◽  
Shape Stability ◽  
Lateral Buckling ◽  
Concentrated Force ◽  
Angle Function ◽  
Variable Section

The paper proposes a methodology for calculating lateral buckling of beams of variable rectangular cross section based on the energy approach. The technique is considered on the example of a cantilever beam of variable width with two sections under the action of a concentrated force. The twist angle function was set in the form of a trigonometric series. As a result, the problem is reduced to a generalized secular equation.

scholarly journals Use of strain-energy method for calculating rectangular beams in cases of lateral buckling

2019 ◽  
Vol 91 ◽  
pp. 02035
Author(s):  
Aleksandr Ishchenko ◽  
Ivan Zotov
Keyword(s):  
Differential Equation ◽  
Analytical Solution ◽  
Iterative Method ◽  
Cross Section ◽  
Energy Method ◽  
Strain Energy ◽  
Bessel Functions ◽  
Critical Force ◽  
Lateral Buckling ◽  
Strain Energy Method

The paper deals with the lateral buckling problem of a freely supported wooden strip with a constant narrow cross section, loaded with a local force in the middle of the span. A differential equation is given for cases when the force is applied out of the gravity section center. Strain-energy method was used in the study of beam lateral buckling. In the case when the load is applied in the center of gravity, problem comes down to a generalized characteristic equation. The correlation between the magnitude of the critical force and the application point of the load was obtained. The linear approximating function was identified for the indicated dependence. The obtained results are compared with an analytical solution using the Bessel functions and a numerical iterative method.

scholarly journals Calculation of wooden beams on the stability of a flat bending shape enhancement

2018 ◽  
Vol 196 ◽  
pp. 01003 ◽  
Author(s):  
Anton Chepurnenko ◽  
Vera Ulianskaya ◽  
Serdar Yazyev ◽  
Ivan Zotov
Keyword(s):  
Differential Equation ◽  
Cross Section ◽  
Stability Problem ◽  
Secular Equation ◽  
Rectangular Cross Section ◽  
Center Of Gravity ◽  
Critical Force ◽  
Distributed Load ◽  
Matlab Package ◽  
The Stability

Flat bending stability problem of constant rectangular cross section wooden beam, loaded by a distributed load is considered. Differential equation is provided for the cases when load is located not in the center of gravity. The solution of the equation is performed numerically by the method of finite differences. For the case of applying a load at the center of gravity, the problem reduces to a generalized secular equation. In other cases, the iterative algorithm developed by the authors is implemented, in the Matlab package. A relationship between the value of the critical force and the position of the load application point is obtained. A linear approximating function is selected for this dependence.

Rectangular Cross Section Beams Calculation on the Stability of a Flat Bending Shape Taking into Account the Initial Imperfections

2019 ◽  
Vol 974 ◽  
pp. 551-555 ◽  
Author(s):  
I.M. Zotov ◽  
Anastasia P. Lapina ◽  
Anton S. Chepurnenko ◽  
B.M. Yazyev
Keyword(s):  
Cross Section ◽  
Basic Equation ◽  
Applied Load ◽  
Rectangular Cross Section ◽  
Twist Angle ◽  
Stability Loss ◽  
Lateral Buckling ◽  
Initial Imperfections ◽  
Beam Stability ◽  
The Stability

The article presents the derivation of the resolving equation for the calculation of lateral buckling of rectangular beams. When deriving the basic equation, the initial imperfections of the beam are taken into account, which are specified in the form of the eccentricity of the applied load, the initial deflection in the plane of least stiffness and the initial twist angle. The influence of initial imperfections on the process of beam stability loss is investigated.

Secondary Flow and Hydraulic Losses Within Sinuous Conduits of Rectangular Cross Section

1992 ◽  
Vol 114 (4) ◽  
pp. 593-600 ◽  
Author(s):  
Yukimaru Shimizu ◽  
Yoshiki Futaki ◽  
C. Samuel Martin
Keyword(s):  
Aspect Ratio ◽  
Secondary Flow ◽  
Cross Section ◽  
Rectangular Cross Section ◽  
Flow Patterns ◽  
Geometric Configuration ◽  
Hydraulic Losses ◽  
Aspect Ratios ◽  
Wide Range ◽  
The Relationship

This paper describes the relationship between hydraulic losses and secondary flow within sinuous conduits with complicated bends. It has been found that the nature of secondary flow present in the bends is quite sensitive to the geometric configuration of the bend and the actual aspect ratio of the conduit section. Indeed, many different secondary flow patterns have been found to exist as the bend geometry is altered. A wide range of experiments has been conducted for various aspect ratios of a rectangular conduit with different curvatures.

scholarly journals The influence of a column shape cross-section on the punching capacity

2019 ◽  
Author(s):  
Simona Sarvaicova ◽  
Viktor Borzovic ◽  
Tomas Augustin
Keyword(s):  
Cross Section ◽  
Shear Failure ◽  
Shear Crack ◽  
Rectangular Cross Section ◽  
Linear Analysis ◽  
Linear Modeling ◽  
Model Code ◽  
Eurocode 2 ◽  
Non Linear ◽  
Comparison Of The Results

The article deals with non-linear modeling of slab-column connection which represents a fragment of flat slab supported by a column and loaded up to the punching shear failure. The aim of this parametrical study is the analysis of the length of reduced control perimeters in the case of columns with significantly elongated rectangular cross-section. The non-linear analysis was performed in program Atena and calibrated by test results obtained from the laboratory experiments carried out at Slovak University of Technology in Bratislava. The results of non-linear analysis are compared with the values of shear resistance calculated according to the current Eurocode 2 model; fib Model Code 2010 and model proposed for the second generation of Eurocode 2 based on the Critical shear crack theory. The reliability of the models is evaluated by comparison of the results of numerical analyses and previously mentioned design models.

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