scholarly journals Stress calculation method of bending multilayer structural element when bending moment acts in the planes that do not coincident with principal planes

2021 ◽  
Vol 47 ◽  
Author(s):  
Vytautas Kleiza ◽  
Jonas Kleiza

This paper presents stress calculationmethod of bending multilayer structural element when bending moment acts in the planes that do not coincident with principal planes, and cross section is symmetric or asymmetric. Carrying the computation of occurring stress values in multilayer beam layers it is necessary to identify coordinates of cross-section stiffness centre, direction of principal axes, and coordinates of specific points regarding principal axes. Having this information and equation which is valid for stress calculation of bending multilayer beams it is possible to identify normal stress values at any point of the beam cross section under skew bending. It is deduced that stress values and the nature of their changes are influenced by the shape of beam cross-section, its asymmetry degree, and the direction of appliedmoment.

2008 ◽  
Vol 6 (1) ◽  
pp. 75-88 ◽  
Author(s):  
Marina Mijalkovic ◽  
Marina Trajkovic ◽  
Bojan Milosevic

The problem of the determination of limit bearing capacity of beam cross section under pure bending, eccentric tension, pure shear, as well as combined stress is considered in this paper. The influence functions of the bending moment and axial force, as well as the bending moment, axial and shear force on the cross section limit bearing capacity in case of rectangular and I beam cross section are derived.


2014 ◽  
Vol 672-674 ◽  
pp. 1894-1898
Author(s):  
Xin Feng Wu ◽  
Jian Ying Xu ◽  
Jing Xin Hao ◽  
Rui Liao ◽  
Zhu Zhong

In order to describe the bending property of sandwich beam with wood skin and binderless bamboo chips core, the effect of construction parameters and material type on bending normal stress and moment was analyzed systematically. It is shown that maximum bending normal stress of sandwich construction is bigger than homogeneous single layer beam with same cross section if the skin has higher modulus than the core. The bending moment can be taken almost by skin layer if the core modulus is much smaller than skin materials and core thickness should also be smaller to special point than total cross section. As for wood-bamboo sandwich composite, the core resistance to bending moment should be considered. The results can provide basic theory for design optimization of sandwich construction.


2013 ◽  
Vol 405-408 ◽  
pp. 993-996
Author(s):  
Su Juan Dai ◽  
Bao Chen Zhu ◽  
Qing Chen

This paper introduces the characteristics and practicability of the honeycomb beam and analyses the mechanical behavior. Based on the vierendeel truss theory, the normal stress calculation method of the rectangular hole honeycomb beam is discussed, and the calculation formula is deduced. Finally using the derived formula, the paper calculates the normal stress of the rectangular hole honeycomb beams with different parameters, and analyses the influence of the opening rate and the hole spacing on the strength of honeycomb beam by comparing the same section of solid web beam, thus, provides reference for design of steel honeycomb beam.


Author(s):  
Mingyi Cai ◽  
Jianfei Yu ◽  
Xinmin Jiang

In this paper, according to the design requirements of a steel structural project, based on the principle of structural mechanics of thin-walled bar, the non-right angle H-section, which is subjected to bending moment and shear force, is taken as the object of study, the formulas of bending normal stress and shear stress are deduced. On this basis, the distribution of bending stress and shear stress and the location of dangerous stress are analyzed, the calculation method of section strength is discussed, and the FEA software ABAQUS is used to verify the above. 


2005 ◽  
Vol 10 (2) ◽  
pp. 151-160 ◽  
Author(s):  
J. Kala ◽  
Z. Kala

Authors of article analysed influence of variability of yield strength over cross-section of hot rolled steel member to its load-carrying capacity. In calculation models, the yield strength is usually taken as constant. But yield strength of a steel hot-rolled beam is generally a random quantity. Not only the whole beam but also its parts have slightly different material characteristics. According to the results of more accurate measurements, the statistical characteristics of the material taken from various cross-section points (e.g. from a web and a flange) are, however, more or less different. This variation is described by one dimensional random field. The load-carrying capacity of the beam IPE300 under bending moment at its ends with the lateral buckling influence included is analysed, nondimensional slenderness according to EC3 is λ¯ = 0.6. For this relatively low slender beam the influence of the yield strength on the load-carrying capacity is large. Also the influence of all the other imperfections as accurately as possible, the load-carrying capacity was determined by geometrically and materially nonlinear solution of very accurate FEM model by the ANSYS programme.


Materials ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3438
Author(s):  
Michał Szczecina ◽  
Andrzej Winnicki

This paper discusses a choice of the most rational reinforcement details for frame corners subjected to opening bending moment. Frame corners formed from elements of both the same and different cross section heights are considered. The case of corners formed of elements of different cross section is not considered in Eurocode 2 and is very rarely described in handbooks. Several reinforcement details with both the same and different cross section heights are presented. The authors introduce a new reinforcement detail for the different cross section heights. The considered details are comprised of the primary reinforcement in the form of straight bars and loops and the additional reinforcement in the form of diagonal bars or stirrups or a combination of both diagonal stirrups and bars. Two methods of static analysis, strut-and-tie method (S&T) and finite element method (FEM), are used in the research. FEM calculations are performed with Abaqus software using the Concrete Damaged Plasticity model (CDP) for concrete and the classical metal plasticity model for reinforcing steel. The crucial CDP parameters, relaxation time and dilatation angle, were calibrated in numerical tests in Abaqus. The analysis of results from the S&T and FE methods allowed for the determination of the most rational reinforcement details.


2019 ◽  
Vol 15 (2) ◽  
pp. 523-536
Author(s):  
Jinliang Liu ◽  
Yanmin Jia ◽  
Guanhua Zhang ◽  
Jiawei Wang

Purpose The calculation of the crack width is necessary for the design of prestressed concrete (PC) members. The purpose of this paper is to develop a numerical model based on the bond-slip theory to calculate the crack width in PC beams. Design/methodology/approach Stress calculation method for common reinforcement after beam crack has occurred depends on the difference in the bonding performance between prestressed reinforcement and common reinforcement. A numerical calculation model for determining the crack width in PC beams is developed based on the bond-slip theory, and verified using experimental data. The calculation values obtained by the proposed numerical model and code formulas are compared, and the applicability of the numerical model is evaluated. Findings The theoretical analysis and experimental results verified that the crack width of PC members calculated based on the bond-slip theory in this study is reasonable. Furthermore, the stress calculation method for the common reinforcement is verified. Compared with the model calculation results obtained in this study, the results obtained from code formulas are more conservative. Originality/value The numerical calculation model for crack width proposed in this study can be used by engineers as a reference for calculating the crack width in PC beams to ensure the durability of the PC member.


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