## The Elastical Researches of Barré de Saint-Venant |

### From inside the book

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**equations**, the body - shift**equations**and the surface - stress**equations**. On p . 276 Saint - Venant deduces the body - shift**equation**for a planar distribution of elasticity such as he requires for his torsion problem . He takes for ... Page 8

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**equation**( i ) above , we have next to ask what in an aeolotropic body is the distri- bution of limiting stretch ? Saint - Venant having regard to**equation**( i ) assumes it to be ellipsoidal in character ; in other words he takes 5 = 5 ... Page 9

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**equation**may be adopted as if the six limiting strains Sx , Sy , Sz , σyz , ōzx , ̄xy , were all independent , and the values of the slide - limits had to be found by experiment . At any yz y rate**equations**of the form σ = 2 √5 , 5 ... Page 10

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**equations**; the constant values of the trac- tions are in this case given by the surface stress -**equations**. The stress - strain relations then give in terms of the elastic constants and the loads the values of the shift - fluxions ... Page 11

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**equations**of elasticity without body - force or surface - load . " On verra que u ' , v ' , w ' seront les ...**equations**from which to find in terms of the 21 elastic constants the six strains . These are six simple partial differential ...### Other editions - View all

### Common terms and phrases

Ave Maria Lane axes axis beam Boussinesq Cauchy Christ's College CLAY & SONS Clebsch coefficients College Comptes rendus constant contour corps cosh cross-section Crown 8vo cylindrical d'une deduced deflection Demy 8vo deux direction distance edition elasticity élastiques ellipsoidal equations fail-point flexure footnote formulae function given gives Hooke's Law hypothesis isotropy Lamé Leçons de Navier linear elasticity LL.D load longitudinal M₁ manière Maurice Lévy maximum memoir on Torsion molecules Notes obtained plane plastic plate prism problem rari-constant rectangular referred résistance rupture Saint-Venant Saint-Venant remarks Saint-Venant's shear shews shifts sinh slide solution St John's College strain stresses stretch stretch-modulus suppose surface terminal theory theory of elasticity traction Trinity College U₁ University of Cambridge University Press Warehouse V₁ V₂ velocity Venant vibrations volume Εωκε

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