The Elastical Researches of Barré de Saint-Venant |
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Page 6
... 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 ...
... 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
... 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 8 = 5 ...
... 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 8 = 5 ...
Page 9
... equation may be adopted as if the six limiting strains 5 , 5 , 52 , σz , ay , were all independent , and the values of the slide - limits σ had to be found by experiment . At any ōz 2007 xy rate equations of the form = 2√3 , s , need ...
... equation may be adopted as if the six limiting strains 5 , 5 , 52 , σz , ay , were all independent , and the values of the slide - limits σ had to be found by experiment . At any ōz 2007 xy rate equations of the form = 2√3 , s , need ...
Page 10
... 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 ...
... 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
... 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 ...
... 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 ...
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Ave Maria Lane axes axis beam Boussinesq Cambridge University Press 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
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