An Exact Theory for Curved Beams with Any Thin-Walled Open Sections

2002 ◽  
Vol 5 (4) ◽  
pp. 195-209 ◽  
Author(s):  
Genshu Tong ◽  
Qiang Xu
Keyword(s):  
Shear Stress ◽  
Normal Stress ◽  
Theoretical Development ◽  
Longitudinal Displacement ◽  
Curved Beams ◽  
Biaxial Bending ◽  
Practical Applications ◽  
Exact Theory ◽  
Thin Walled ◽  
Detailed Derivation

Currently available theories for thin-walled curved beams lack rigorous theoretical development. This paper provides a detailed derivation of an exact theory for biaxial bending and torsion of thin-walled circularly curved beams with any open profile. The derivation is based on two well-accepted assumptions in the theory of thin-walled members. Exact expressions for longitudinal displacement, longitudinal normal stress and shear stress and their resultants are presented. Simplified theories are also given for practical applications.

scholarly journals Stress and Strength Analysis of Non-Right Angle H-section Beam

2018 ◽  
Author(s):  
Mingyi Cai ◽  
Jianfei Yu ◽  
Xinmin Jiang
Keyword(s):  
Shear Stress ◽  
Normal Stress ◽  
Calculation Method ◽  
Shear Force ◽  
Bending Moment ◽  
Strength Analysis ◽  
Bending Stress ◽  
Design Requirements ◽  
Thin Walled ◽  
Object Of Study

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. 

Pretwisted Curved Beams of Thin-Walled Open Section

1972 ◽  
Vol 39 (3) ◽  
pp. 779-785 ◽  
Author(s):  
A. I. Soler
Keyword(s):  
Numerical Technique ◽  
Equations Of Motion ◽  
Highway Bridges ◽  
Major Effect ◽  
Curved Beams ◽  
Open Section ◽  
Straight Beam ◽  
Thin Walled ◽  
Bending Modes ◽  
Axes Of Symmetry

Equations of motion are derived for coupled extension, flexure, and torsion of pretwisted curved bars of thin-walled, open section. The derivation is based on energy principles and includes inertia terms. The major effect of initial pretwist is to allow coupling of all possible beam deformation modes; however, if the bar is straight and has two axes of symmetry, pretwist causes coupling only between the two bending modes, and between extension and torsion. The governing equations are presented in first-order form, and a numerical technique is suggested for the case of space varying pretwist. It is suggested that these equations may form the basis for a simplified study of the effect of superelevation on the static and dynamic response of curved highway bridges. Finally, a simple straight beam with uniform pretwist is studied to compare effects of pretwist and restrained torsion in a thin-walled beam of open section.

scholarly journals Theoretical Development of Thermal Buckling Phenomenon of Thin-Walled Plate due to Moving Heat Source.

1999 ◽  
Vol 42 (4) ◽  
pp. 499-506 ◽  
Author(s):  
Ryusuke KAWAMURA ◽  
Yoshinobu TANIGAWA ◽  
Hideki WATANABE ◽  
Katsuyuki YAMASAKI
Keyword(s):  
Heat Source ◽  
Thermal Buckling ◽  
Theoretical Development ◽  
Moving Heat Source ◽  
Thin Walled

Effect of Shear Surface Boundaries on Stress for Shearing Flow of Dry Metal Powders—An Experimental Study

1987 ◽  
Vol 109 (2) ◽  
pp. 232-237 ◽  
Author(s):  
K. Craig ◽  
R. H. Buckholz ◽  
G. Domoto
Keyword(s):  
Shear Stress ◽  
Shear Rate ◽  
Normal Stress ◽  
Particle Diameter ◽  
Surface Boundary ◽  
Metal Powders ◽  
Shear Surface ◽  
Shear Cell ◽  
Shearing Flow ◽  
Solids Content

This paper studies the rapid simple shearing flow of dry cohesionless metal powders contained between parallel rotating plates. In this study, an annular shear cell test apparatus was used; the dry metal powders are rapidly sheared by rotating one of the shear surfaces while the other shear surface remains fixed. Such a flow geometry is of interest to tribologists working in the area of dry or powder lubrication. The shear stress and normal stress on the stationary surface are measured as a function of the following parameters: shear surface boundary material and roughness, the shear-cell gap thickness, the shear-rate and the fractional solids content. Both the fractional solids content and the gap thickness are kept at prescribed values during stress measurements. In this experiment the metal powder tested is different from the shear transmission surface material; the effect on the measured normal and shear stress data are reported. The results show the dependence of the normal stress and the shear stress on the shear-rate, particle density and particle diameter. Likewise, a significant stress dependence on both the fractional solids content and the shear-cell gap thickness was observed.

Stress in Bonded Adherends for Single Lap Joints

1996 ◽  
Vol 12 (03) ◽  
pp. 167-171
Author(s):  
G. Bezine ◽  
A. Roy ◽  
A. Vinet
Keyword(s):  
Finite Element ◽  
Shear Stress ◽  
Numerical Model ◽  
Stress Distribution ◽  
Normal Stress ◽  
Lap Joints ◽  
Axial Loads ◽  
Normal Stress Distribution ◽  
Single Lap Joints ◽  
Element Technique

A finite-element technique is used to predict the shear stress and normal stress distribution in adherends for polycarbonate/polycarbonate single lap joints subjected to axial loads. Numerical and photoelastic results are compared so that a validation of the numerical model is obtained. The influences on stresses of the overlap length and the shape of the adherends are studied.

Sign in / Sign up

Export Citation Format

Share Document