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Experimental analysis of plates using the method of model curing

A new experimental method of plate analysis is described which uses a reflecting layer in the middle plane while the permanent strains are obtained by curing the model material

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Abstract

The method of model curing is applicable to the analysis of plates. When the polymerization process is complete and model is unloaded, the deflection and the birefringence remain permanent. The stereometric method is used for evaluation of bending and torsion moments, and photoelastic method is used as a control method. The example given of the method of curing is a square plate supported at three points and loaded by a concentrated load.

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Abbreviations

B :

distance of the curvature-meter legs,L

D :

constant of plate,FL

E :

modulus of elasticity

F :

force,F

f :

rise measure on the curvature meter,L

(m x );f(m y );f(m xy ):

values read on moment meters,L

h :

depth of plate,L

k :

constant of optical sensitivity,F/L

m 1,m 2 :

principal bending moments,F

m x ,m y :

x, y components of bending moment,F

m xy :

torsional moment,F

m k :

optical constant of plate,F

M x ,M y :

auxiliary moments,F

q :

distributed load,F/L 2

r, s :

coordinate axes forming the angle 45 deg with thex andy axes,L

x, y :

Cartesian coordinates,L

α:

angle of principal bending moment

1/ρ r ; 1/ρ s :

r, s components of curvature, 1/L

1/ρ x ; 1/ρ y :

x, y component of curvature, 1/L

μ:

Poisson's ratio

References

  1. Bednár, J., “Poušitie upravenej Poissonovej rovnice na výpočet súčtu hlavnych momentov pri fotoelasticimetrickom riešenídosák,” Sborník vedeckých prác Stavebnej fakulty, Bratislava (1962).

  2. Schwieger, J., and Haberland, G. “Spannungoptische Utersuchung einer Kragplatte,” Zeitschrift für angewandte mathematik und mechanik (1959).

  3. Bednár, J., “Modelové meranie napätosti bodove podopretých spojitých dosiek,” Inženýrske stavby č.4 (1965).

  4. Franz, and Teepe, “Untersuchungen am Schalen modellen aus Kunstoff,” Proc. (1961 Delf Symposium).

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Authors and Affiliations

  1. Slovak Technical University, Bratislava, Czechoslovakia

    Jozef Bednar

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  1. Jozef Bednar
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Bednar, J. Experimental analysis of plates using the method of model curing. Experimental Mechanics 7, 85–90 (1967). https://doi.org/10.1007/BF02326712

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  • DOI: https://doi.org/10.1007/BF02326712

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