The Elastical Researches of Barré de Saint-Venant |
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Page 4
... constant elastician as he has always been - retains the multi - constant formulae , remarking : Mais des doutes ont été élevés sur le principe de 4 [ 4 SAINT - VENANT .
... constant elastician as he has always been - retains the multi - constant formulae , remarking : Mais des doutes ont été élevés sur le principe de 4 [ 4 SAINT - VENANT .
Page 6
... constant controversy : Mais l'isotropie paraît rare . Non - seulement les corps fibreux , tels que bois , les fers ... constants . Substituting in the body - stress equa- dxx dxy dxz X , and expressing the strain in terms of the tion + + ...
... constant controversy : Mais l'isotropie paraît rare . Non - seulement les corps fibreux , tels que bois , les fers ... constants . Substituting in the body - stress equa- dxx dxy dxz X , and expressing the strain in terms of the tion + + ...
Page 10
... constant and the shears zero throughout . This satisfies the body stress - 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 ...
... constant and the shears zero throughout . This satisfies the body stress - 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 ...
Page 11
... constant values throughout the body and at the surface . Then we have six equations from which to find in terms of the 21 elastic constants the six strains . These are six simple partial differential equations which give at once the ...
... constant values throughout the body and at the surface . Then we have six equations from which to find in terms of the 21 elastic constants the six strains . These are six simple partial differential equations which give at once the ...
Page 15
... constant of that equation zero . The second of these relates to the case of a rectangular section ; it is an approximation : the memoir in Liouville's Journal gives the exact solution , but not this approximation . It is however easy to ...
... constant of that equation zero . The second of these relates to the case of a rectangular section ; it is an approximation : the memoir in Liouville's Journal gives the exact solution , but not this approximation . It is however easy to ...
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Common terms and phrases
Ave Maria Ave Maria Lane axes axis beam Boussinesq C. J. CLAY Cambridge University Press 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 distance dx² 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's shear shews shifts sinh slide solution St John's College strain stresses stretch stretch-modulus suppose surface terminal theory traction Trinity College U₁ University of Cambridge University Press Warehouse V₁ V₂ velocity Venant vibrations
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