Summary
The new method of design is based on the recognition of the existence of the individual limit of elasticity of a structure. The rate of change of deformation is a good indicator of elastic behavior. The new criterion for design is a coefficient of elastic stability chosen at the point of rapid increase of deformation. The new property of a structure, e.g. geometrical stiffness, is introduced in order to reflect the effect of geometry on deformation correctly. The new equation for deformation-force-geometrical stiffness describes these relations. The derived equation of elastic stability describes the elastic force-geometrical stiffness relationship. The equations describing geometrical stiffness make it possible to compare similar structures after testing one representative structure.
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Abbreviations
- σ:
-
unit stress
- ε:
-
unit strain
- E :
-
modulus of elasticity
- N :
-
tensile force
- A :
-
area of cross-section
- L :
-
length
- I :
-
moment of inertia
- Z :
-
section modulus
- M m :
-
arithmetic mean value of elastic moment
- e :
-
total deformation in tension
- D :
-
deformation as a general notion
- C s :
-
coefficient of elastic stability
- K :
-
coefficient of specifics of the design
- P :
-
bending force
- σ my :
-
elastic limit of material
- σ gy :
-
elastic limit depending on geometry
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Ratner, L.W. Method of optimization of structures. Exp Tech 23, 26–30 (1999). https://doi.org/10.1111/j.1747-1567.1999.tb01551.x
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DOI: https://doi.org/10.1111/j.1747-1567.1999.tb01551.x