Determination of the flexural rigidity of a beam from limited boundary measurements

2006 ◽  
Vol 20 (1-2) ◽  
pp. 17-34 ◽  
Author(s):  
Daniel Lesnic
Keyword(s):  
Flexural Rigidity ◽  
Boundary Measurements

Determination of point wave sources by boundary measurements

2001 ◽  
Vol 17 (4) ◽  
pp. 1127-1139 ◽  
Author(s):  
A El Badia ◽  
T Ha-Duong
Keyword(s):  
Boundary Measurements

scholarly journals Large Deflection Model for Multiple, Inline, Interacting Cantilever Beams

2020 ◽  
Vol 88 (4) ◽  
Author(s):  
Austin Bebee ◽  
Christopher J. Stubbs ◽  
Daniel J. Robertson
Keyword(s):  
Mathematical Model ◽  
Flexural Rigidity ◽  
Cantilever Beams ◽  
Model Concept ◽  
Math Model ◽  
Rigid Body Model ◽  
High Throughput Phenotyping ◽  
Stalk Lodging ◽  
The Mathematical Model

Abstract Numerous natural and synthetic systems can be modeled as clusters of interacting cantilever beams. However, a closed-form mathematical model capable of representing the mechanics of multiple interacting cantilever beams undergoing large deflections has yet to be presented. In this work, a pioneering mathematical model of the force–deflection response of multiple, inline, interacting (i.e., contacting) cantilever beams is presented. The math model enables the determination of the force–deflection response of a system of interacting cantilever beams and is predicated upon the “Pseudo Rigid Body Model” concept. The model was validated through data triangulation experiments which included both physical and computational studies. An analysis of the mathematical model indicates it is most accurate with deflections less than 50 deg. In the future, the model may be used in high throughput phenotyping applications for investigating stalk lodging and estimating the flexural rigidity of crop stems. The model can also be used to gain intuition and aid in the design of synthetic systems composed of multiple cantilever beams.

Nonlinear Bending of a Stress Corrosion Specimen

1966 ◽  
Vol 88 (1) ◽  
pp. 31-36
Author(s):  
Paul E. Wilson ◽  
Edward E. Spier
Keyword(s):  
Stress Corrosion ◽  
Flexural Rigidity ◽  
Axial Loads ◽  
Postbuckling Behavior ◽  
Nonlinear Bending ◽  
Corrosion Studies ◽  
Plate Strip ◽  
Stress States ◽  
Center Section

This paper presents an analysis of the postbuckling behavior of an initially straight plate strip of variable flexural rigidity whose ends are subjected to opposing “axial” loads. Bending action takes place only in the center section of the strip, since the symmetric end portions are considered to be rigid. Pertinent postbuckling load-deflection curves are deduced by using the nonlinear bending theory of a plate strip, and the maximum stress is obtained as a function of the half-distance between the loaded ends. Numerical results are presented in nondimensional form, and the theoretical solution is shown to compare favorably with a major portion of the experimental stress and deflection data. Information given here has an important and direct application to the determination of bending stress states in the lateral faces of a wide class of tensile test coupons used in stress corrosion studies.

Analytical modeling of masonry load-bearing walls

2003 ◽  
Vol 30 (5) ◽  
pp. 795-806 ◽  
Author(s):  
Yi Liu ◽  
J L Dawe
Keyword(s):  
Flexural Rigidity ◽  
Computer Application ◽  
Masonry Walls ◽  
Load Bearing ◽  
Analytical Technique ◽  
Reinforced Masonry ◽  
Material Stiffness ◽  
The Moment ◽  
Magnification Effect

An analytical technique was developed and encoded for computer application to study the behaviour of concrete masonry load-bearing walls under various loading conditions. Both geometrical and material nonlinearities to account for the moment magnification effect and the degradation of material stiffness are included in the development. Effects of vertical reinforcing steel, masonry tensile cracking, and compressive crushing are included directly in the moment–curvature relationship, which is used in the determination of element stiffnesses at successive load increments. A parametric study was conducted following verification of the analytical model by comparing results with experimental test data. Effective flexural rigidity (EIeff) values at failure were obtained analytically and compared with values suggested in the Canadian masonry code CSA-S304.1-M94. It was concluded that CSA-S304.1-M94 tends to underestimate EIeff values for reinforced walls and thus leads to a conservative design over a range of parameters. Based on approximately 500 computer model tests, a lower bound bilinear limit for the effective rigidity of reinforced masonry walls was established. This limit is believed to provide an accurate and realistic estimate of EIeff.Key words: walls, load bearing, masonry, analytical, nonlinear, rigidity, stress–strain, moment–curvature.

Bending Athwart a Parallel-Stiffened Plate

1967 ◽  
Vol 34 (2) ◽  
pp. 278-282 ◽  
Author(s):  
N. J. Huffington
Keyword(s):  
Flexural Rigidity ◽  
Bending Moment ◽  
Plane Elasticity ◽  
Stiffened Plate ◽  
Theoretical Predictions ◽  
The Finite Difference Method ◽  
Approximate Procedure ◽  
Explicit Relation ◽  
Poisson Contraction

Consideration is given to the problem of predicting the flexural rigidity of plates reinforced by parallel, equally spaced stiffeners for the direction (in the plane of the plate) normal to the stiffener orientation, as well as the stresses induced by a bending moment acting in this direction. The determination of this lateral flexural rigidity is formulated in terms of a problem in plane elasticity which may be solved by the finite-difference method for specific cases. Results obtained by this method are compared with those obtained by a simpler approximate procedure. An explicit relation is derived for the flexural rigidity associated with Poisson contraction. Experimental results are introduced and compared with theoretical predictions.

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