The Elastical Researches of Barré de Saint-Venant |
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Page 8
... assumes it to be ellipsoidal in character ; in other words he takes 5 = 5 % cos3a + 51 cos2 ß + 51⁄2 cos3y , where § , S , S2 are three constants to be determined by experiment , and the axes of ellipsoidal distribution are chosen as ...
... assumes it to be ellipsoidal in character ; in other words he takes 5 = 5 % cos3a + 51 cos2 ß + 51⁄2 cos3y , where § , S , S2 are three constants to be determined by experiment , and the axes of ellipsoidal distribution are chosen as ...
Page 10
... assumes that the tractions are 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 ...
... assumes that the tractions are 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 ...
Page 14
... assumes the longitudinal shifts and the lateral loading , hence he deduces the transverse shifts and the terminal loading . The values of the longitudinal shifts were doubtless suggested by the Bernoulli- Eulerian solution of the ...
... assumes the longitudinal shifts and the lateral loading , hence he deduces the transverse shifts and the terminal loading . The values of the longitudinal shifts were doubtless suggested by the Bernoulli- Eulerian solution of the ...
Page 15
... ) . dx G'go + G'P - 2 EI { ( K – 2e ) y2 + ( E − ƒK ) then in order that this may vanish when y = 0 and z = c we must have 9 % = Pc2 ( E - ƒK ) 2 Eel Then Saint - Venant assumes that faz dw P ; 12 ] 15 SAINT - VENANT .
... ) . dx G'go + G'P - 2 EI { ( K – 2e ) y2 + ( E − ƒK ) then in order that this may vanish when y = 0 and z = c we must have 9 % = Pc2 ( E - ƒK ) 2 Eel Then Saint - Venant assumes that faz dw P ; 12 ] 15 SAINT - VENANT .
Page 16
... assumes that faz dw P ; and this leads to the value of K which he uses in this case : see p . 312 line 3 from the foot . 13. On P. 311 Saint - Venant says that F = 0 , and dF / dz = 0 , when y = 0 and z = = 0. Suppose that h and k ...
... assumes that faz dw P ; and this leads to the value of K which he uses in this case : see p . 312 line 3 from the foot . 13. On P. 311 Saint - Venant says that F = 0 , and dF / dz = 0 , when y = 0 and z = = 0. Suppose that h and k ...
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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