The Elastical Researches of Barré de Saint-Venant |
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Page 4
... relations between stress and strain ( pp . 255-262 ) . It cannot be said that this portion of his work is so satisfactory as the later treatment in Moigno's Statique ( see p . 268 et seq . ) or the full discussion of the generalised ...
... relations between stress and strain ( pp . 255-262 ) . It cannot be said that this portion of his work is so satisfactory as the later treatment in Moigno's Statique ( see p . 268 et seq . ) or the full discussion of the generalised ...
Page 9
... the writers of mathematical text - books , i . e . to connote the elasticity which obeys the generalised Hooke's Law or the linearity of the stress - strain relation . semi - axes . Saint - Venant uses throughout his 5 ] 9 SAINT - VENANT .
... the writers of mathematical text - books , i . e . to connote the elasticity which obeys the generalised Hooke's Law or the linearity of the stress - strain relation . semi - axes . Saint - Venant uses throughout his 5 ] 9 SAINT - VENANT .
Page 10
... relations then give in terms of the elastic constants and the loads the values of the shift - fluxions . We thus arrive at a system of simple linear partial differential equations , whose solu- tion is extremely easy . The complete ...
... relations then give in terms of the elastic constants and the loads the values of the shift - fluxions . We thus arrive at a system of simple linear partial differential equations , whose solu- tion is extremely easy . The complete ...
Page 17
... relation between the planes of flexure and of loading , when the latter plane is not one of inertial symmetry . [ 15. ] The chapter concludes with the deduction of Saint- Venant's all - important discovery that the cross - sections of a ...
... relation between the planes of flexure and of loading , when the latter plane is not one of inertial symmetry . [ 15. ] The chapter concludes with the deduction of Saint- Venant's all - important discovery that the cross - sections of a ...
Page 37
... contour must first be projected by means of the above relation between y , z and y ' , z ' , we may make use of all the previous results and equations . [ 46. ] Thus in the case of the ellipse 43-45 ] 37 SAINT - VENANT .
... contour must first be projected by means of the above relation between y , z and y ' , z ' , we may make use of all the previous results and equations . [ 46. ] Thus in the case of the ellipse 43-45 ] 37 SAINT - VENANT .
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Ave Maria Ave Maria Lane axes axis beam Boussinesq 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 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 traction Trinity College U₁ University of Cambridge University Press Warehouse V₁ V₂ velocity Venant vibrations