Abstract
This investigation was undertaken to study the similitude of models for reinforced concrete beams by photoelasticity. All previous attempts of model analysis have not maintained the correct modular ratio of reinforcing rod to the beam material. The material problem of obtaining the necessary rods was solved. The material exploratory investigation revealed suitable reinforcing plastics that have opened a wide range of model analyses for reinforced concrete. The models fabricated provided a study in correlation of models and prototype. A sample of the stresses obtained with a photoelastic interferometer is given to demonstrate the practical application of the model analysis.
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Abbreviations
- a :
-
shear-span length
- A c :
-
interferometer compressive constant
- A s :
-
area of reinforcing rod
- A t :
-
interferometer tensile constant
- b :
-
breadth of model
- B c :
-
interferometer compressive constant
- B t :
-
interferometer tensile constant
- d :
-
depth of model to center of reinforcing rod
- E :
-
modulus of elasticity
- f :
-
material fringe value
- l :
-
span length of model
- L :
-
total length of model
- n :
-
modular ratio of reinforcing rod to beam material
- p :
-
percentage ratio of the area of reinforcing rod to the cross-sectional area of the beam
- σL :
-
principal stress to the left of a vertical line
- σr :
-
principal stress to the right of a vertical line
- σu :
-
ultimate stress
- σ x :
-
normal stress parallel tox axis
- σ y :
-
normal stress parallel toy axis
- τ xy :
-
shearing stress onxz oryz plane
- ϑ L :
-
left angle of rotation from vertical axis to principal stress
- ϑ R :
-
right angle of rotation from vertical axis to principal stress
References
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Adams, S.F. Photoelastic concrete similutide with CR-39 reinforced with epoxy and glass. Experimental Mechanics 6, 54–57 (1966). https://doi.org/10.1007/BF02327114
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DOI: https://doi.org/10.1007/BF02327114