Glossary entry (derived from question below)
Polish term or phrase:
przypadek osiowy
English translation:
uniaxial case
Added to glossary by
Frank Szmulowicz, Ph. D.
Sep 7, 2019 14:39
4 yrs ago
Polish term
przypadek osiowy
Polish to English
Science
Science (general)
general mechanics
Course Description: Mechanical Engineering
Prawo Hooke'a dla rozciągania - przypadek osiowy.
Prawo Hooke'a dla rozciągania - przypadek osiowy.
Proposed translations
(English)
3 +1 | uniaxial case | Frank Szmulowicz, Ph. D. |
Change log
Sep 7, 2019 14:39: changed "Kudoz queue" from "In queue" to "Public"
Sep 9, 2019 15:23: Frank Szmulowicz, Ph. D. Created KOG entry
Proposed translations
+1
6 mins
Selected
uniaxial case
Propozycja.
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Note added at 3 hrs (2019-09-07 17:49:16 GMT)
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In Chapter 1 the deformation of a bar has been characterized by the strain and the displacement. We will now generalize these kinematic quantities to the plane and the spatial cases. For this purpose, we introduce the displacement vector and the strain tensor, the latter describing length and angle changes. In addition, we will extend the already known Hooke’s law from the uniaxial case to the two and three-dimensional cases. Finally, we will discuss the so-called strength hypotheses in order to assess the exertion of the material under multiaxial stress. The students shall learn how to calculate the stresses from the strains or displacements and vice versa.
https://link.springer.com/chapter/10.1007/978-3-642-12886-8_...
cccccccccc
According to Chapter 1, stresses and strains are connected by Hooke's law. In the uniaxial case (bar) it takes the form σ = E ε where E is Young's modulus
https://books.google.com/books?id=2fxQDwAAQBAJ&pg=PA86&lpg=P...
ccccccccccccccccccccccccccccccccc
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Note added at 3 hrs (2019-09-07 17:51:13 GMT)
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GENERALIZED HOOKE'S LAW In Section 3.1 we studied the “uniaxial” case only, i.e., the strain in the direction of the acting stress ti I. We shall now extend to the general case of spatial (triaxial)...
https://books.google.com/books?id=oEsvBQAAQBAJ&pg=PA43&lpg=P...
--------------------------------------------------
Note added at 3 hrs (2019-09-07 17:49:16 GMT)
--------------------------------------------------
In Chapter 1 the deformation of a bar has been characterized by the strain and the displacement. We will now generalize these kinematic quantities to the plane and the spatial cases. For this purpose, we introduce the displacement vector and the strain tensor, the latter describing length and angle changes. In addition, we will extend the already known Hooke’s law from the uniaxial case to the two and three-dimensional cases. Finally, we will discuss the so-called strength hypotheses in order to assess the exertion of the material under multiaxial stress. The students shall learn how to calculate the stresses from the strains or displacements and vice versa.
https://link.springer.com/chapter/10.1007/978-3-642-12886-8_...
cccccccccc
According to Chapter 1, stresses and strains are connected by Hooke's law. In the uniaxial case (bar) it takes the form σ = E ε where E is Young's modulus
https://books.google.com/books?id=2fxQDwAAQBAJ&pg=PA86&lpg=P...
ccccccccccccccccccccccccccccccccc
--------------------------------------------------
Note added at 3 hrs (2019-09-07 17:51:13 GMT)
--------------------------------------------------
GENERALIZED HOOKE'S LAW In Section 3.1 we studied the “uniaxial” case only, i.e., the strain in the direction of the acting stress ti I. We shall now extend to the general case of spatial (triaxial)...
https://books.google.com/books?id=oEsvBQAAQBAJ&pg=PA43&lpg=P...
4 KudoZ points awarded for this answer.
Comment: "Thank you, Frank."
Discussion