scholarly journals Elastic flattening of box beams under bending moment (The Brazier effect of rectangular tubes)

2018 ◽  
Vol 84 (858) ◽  
pp. 17-00326-17-00326
Author(s):  
Katsuya FURUSU ◽  
Tatsuyuki AMAGO ◽  
Toshiaki NAKAGAWA ◽  
Tsutomu HAMABE ◽  
Norihisa AOKI
1966 ◽  
Vol 33 (1) ◽  
pp. 75-78 ◽  
Author(s):  
F. P. J. Rimrott

During bending of a slit, thin-walled circular tube two secondary effects are observed to occur simultaneously. One, the so-called Brazier effect, occurs in thin-walled tubes generally when they are subjected to bending, and consists of an ovaling of the cross section. The second effect is a peculiarity of slit tubes only and manifests itself as an overlap of the free edges. The severity of both effects depends upon the location of the slit. The bending moment and the radial and tangential displacements have been determined as function of the curvature for four different slit locations with respect to the neutral axis. The value of the curvature at instability has also been derived. Subsequently an approximate equation has been obtained for the cantilever. The results of experiments on a cantilever are compared with the theoretical predictions.


2015 ◽  
Vol 802 ◽  
pp. 184-189
Author(s):  
Sheng Qiang Ma ◽  
Norazura Muhamad Bunnori ◽  
Kok Keong Choong

An experimental investigation was presented in this paper on reinforced concrete box beams subjected to shear, torsion, and bending moment strengthened by carbon fiber reinforced polymer (CFRP). Eight box beams were cast and separated into two groups according to two different torque-to-shear and torque-to-bending moment ratios. Three box beams from each group strengthened by CFRP in different configurations and one control box beam were tested. The main parameters of this experiment were the different ratios and configurations, including U-jacket layers and U-jacket strips with or without longitudinal strips. The cracking and failure mode, effect of wrapping configuration, torsional capacity, and behavior of the different torque-to-shear and torque-to-bending moment ratios were studied in the paper.


2018 ◽  
Vol 10 (9) ◽  
pp. 3047
Author(s):  
Zhiguang Zhou ◽  
Liuyun Xu ◽  
Chaoxin Sun ◽  
Songtao Xue

Thin-walled section beams have Brazier effect to exhibit a nonlinear response to bending moments, which is a geometric nonlinearity problem and different from eigenvalue problem. This paper is aimed at investigating the Brazier effect in thin-walled angle-section beams subjected to pure bending about its weak axis. The derivation using energy method is presented to predict the maximum bending moment and section deformation. Both numerical analyses and experimental results were used to show the validity of the proposed formula. Numerical results show that the boundary condition can influence the results due to the end effect, and that the influence tends to be negligible when the length of angle beam goes up to 30 times as the length of beam side. When the collapse in experiments is governed by Brazier flattening, the moment vs. curvature curve deviates significantly from the linear beam theory, but coincides well with the proposed formula in consideration of the restraint due to limited span of experimental setup. It can be concluded that the proposed formula shows good agreement with numerical results and experimental results.


Author(s):  
Xavier Lachenal ◽  
Paul M. Weaver ◽  
Alberto Pirrera

A concept for a novel folding wing is presented, which, using the Brazier effect, can snap from a stable, extended position to a folded configuration. A wing typical of size used in an unmanned aircraft vehicle (UAV) is examined, including manufacturing aspects as well as an analytical and a finite element model (FEM) of the structure. The wing is simply made of a glass fiber reinforced plastic (GFRP) skin stiffened by ribs at regular intervals. At the mid-span location, a cut-out is made in the leading and trailing edge in order to allow the pressure and suction sides of the wing to collapse inward when folding occurs (due to Brazier effect). The analytical model draws upon work from Brazier to predict the maximum bending moment the folding section can withstand before buckling. A FEM, using a quasi-static analysis and requiring a contact definition to allow the wing surfaces to meet, reproduces with accuracy the folding pattern seen on the prototype. A bending test of the demonstrator confirmed the validity of the models in terms of bending stiffness, bending snap through and folding radius of curvature.


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.


PCI Journal ◽  
1969 ◽  
Vol 14 (1) ◽  
Author(s):  
Brice F. Bender ◽  
William G. Kriesel
Keyword(s):  

PCI Journal ◽  
2008 ◽  
Vol 53 (4) ◽  
pp. 62-82 ◽  
Author(s):  
Nabil Grace ◽  
Tsuyoshi Enomoto ◽  
Ahmed Abdel-Mohti ◽  
Yahia Tokal ◽  
Sreejith Puravankara

PCI Journal ◽  
2004 ◽  
Vol 49 (1) ◽  
pp. 92-104 ◽  
Author(s):  
Nabil F. Grace ◽  
S. B. Singh ◽  
Mina M. Shinouda ◽  
Sunup S. Mathew

1983 ◽  
Vol 11 (1) ◽  
pp. 3-19
Author(s):  
T. Akasaka ◽  
S. Yamazaki ◽  
K. Asano

Abstract The buckled wave length and the critical in-plane bending moment of laminated long composite strips of cord-reinforced rubber sheets on an elastic foundation is analyzed by Galerkin's method, with consideration of interlaminar shear deformation. An approximate formula for the wave length is given in terms of cord angle, elastic moduli of the constituent rubber and steel cord, and several structural dimensions. The calculated wave length for a 165SR13 automobile tire with steel breakers (belts) was very close to experimental results. An additional study was then conducted on the post-buckling behavior of a laminated biased composite beam on an elastic foundation. This beam is subjected to axial compression. The calculated relationship between the buckled wave rise and the compressive membrane force also agreed well with experimental results.


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