The Elastical Researches of Barré de Saint-Venant |
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Page 5
... axes these shears can be expressed each in terms of a single slide . This problem is not reproduced in Moigno's Statique . Turn the axes of yz round x through an angle ß , then we easily find : x = xy sin ẞ + cos B ) xy = xy cos B + zz ...
... axes these shears can be expressed each in terms of a single slide . This problem is not reproduced in Moigno's Statique . Turn the axes of yz round x through an angle ß , then we easily find : x = xy sin ẞ + cos B ) xy = xy cos B + zz ...
Page 8
... axes of ellipsoidal distribution are chosen as those of co- ordinates . The condition of safety now reduces to the maximum value of s / s being or < 1. By the ordinary max . - min . processes of the Differ- ential Calculus we obtain for ...
... axes of ellipsoidal distribution are chosen as those of co- ordinates . The condition of safety now reduces to the maximum value of s / s being or < 1. By the ordinary max . - min . processes of the Differ- ential Calculus we obtain for ...
Page 9
... 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 . 2 semi - axes . Saint - Venant uses throughout 5 ] 6 SAINT - VENANT .
... 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 . 2 semi - axes . Saint - Venant uses throughout 5 ] 6 SAINT - VENANT .
Page 10
... axes . Saint - Venant uses throughout his memoir a slightly differ- ent form . Let u ,, μ , be slide - coefficients and S1 , S , the shears capable of producing the slides σay and oz ; then the condition of non - rupture par glissement ...
... axes . Saint - Venant uses throughout his memoir a slightly differ- ent form . Let u ,, μ , be slide - coefficients and S1 , S , the shears capable of producing the slides σay and oz ; then the condition of non - rupture par glissement ...
Page 14
... axe des z et un élément sur le plan yz ) en sorte qu'il ne puisse y avoir ni translation ni rotation générale à ajouter aux déplacements provenant de la flexion . ( p . 307. ) He then proceeds as on p . 294 to put the shifts equal to ...
... axe des z et un élément sur le plan yz ) en sorte qu'il ne puisse y avoir ni translation ni rotation générale à ajouter aux déplacements provenant de la flexion . ( p . 307. ) He then proceeds as on p . 294 to put the shifts equal 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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