Numerical Experiments on the Determination of Cutoff Frequencies of Waveguides of Arbitrary Cross Section

1980 ◽  
Vol 28 (6) ◽  
pp. 568-572 ◽  
Author(s):  
P.A.A. Laura ◽  
K. Nagaya ◽  
G.S. Sarmiento
Keyword(s):  
Cross Section ◽  
Numerical Experiments ◽  
Arbitrary Cross Section ◽  
Cutoff Frequencies

Graphical-Numerical Solution of Problems of Saint-Venant Torsion and Bending

1953 ◽  
Vol 20 (3) ◽  
pp. 321-326
Author(s):  
B. A. Boley
Keyword(s):  
Cross Section ◽  
Stress Function ◽  
Arbitrary Cross Section ◽  
Successive Approximations ◽  
Shear Stresses ◽  
Shearing Stress ◽  
First Approximation ◽  
Difference Form ◽  
Bending Of Beams

Abstract A simple successive-approximations procedure for the solution of the problems of Saint-Venant torsion and bending of beams of arbitrary cross section is presented. The shear stresses in a cross section of the beam are first calculated from the formulas valid for thin-walled sections, on the basis of an assumed set of lines of shearing stress. From these a first approximation to the stress function of either the torsion or the bending problem is found. The second approximation to the stress function is then obtained from the governing equation of the problem, expressed in finite-difference form; this in turn allows the determination of an improved set of lines of shearing stress, and hence of the shearing stress itself. The procedure can be repeated until the results of two successive steps are sufficiently close. Applications are presented for a beam cross section for which the exact solutions are known, and it is shown that no further difficulties arise in applications to more complicated shapes.

scholarly journals Features for calculating beams with a thin transverse corrugated web plate considering bending-twisting forces

2021 ◽  
Vol 263 ◽  
pp. 03006
Author(s):  
Nikolay Tishkov ◽  
Anatoliy Stepanenko
Keyword(s):  
Cross Section ◽  
Numerical Experiments ◽  
Longitudinal Direction ◽  
Arbitrary Cross Section ◽  
Elastic Rods ◽  
Bending Moments ◽  
Relative Height ◽  
Corrugated Web ◽  
Working Together ◽  
The Web

The article describes the features of the work of beams with a thin transverse corrugated web plate. Exponential fractional regression is presented, which allows one to estimate the relative height of web plate sections working together with flanges, obtained by the authors based on an analysis of numerical experiments. Based on the features of the work, a method is proposed for describing the stress state of an arbitrary cross-section of an I-beam with a thin transverse corrugated web plate (the profile of the corrugations is triangular, trapezoidal, sinusoidal) bent in the plane of the web plate and compressed in the longitudinal direction, using the theory of thin-web platted elastic rods by Professor V.Z. Vlasov. The calculations are given for determining the bending-twisting forces (local bending moments and bimoments arising from the action of the main forces) in an arbitrary cross section.

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