The Elastical Researches of Barré de Saint-Venant |
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Page xiv
Isaac Todhunter, Adhémar Jean Claude Barré de Saint-Venant Karl Pearson. ERRATA . V Art . 4 ( 8 ) dele reference to Hopkins . Art . 171 ( a ) for neutral line read neutral axis . CHAPTER X. SAINT - VENANT , 1850-1886 . SECTION I.
Isaac Todhunter, Adhémar Jean Claude Barré de Saint-Venant Karl Pearson. ERRATA . V Art . 4 ( 8 ) dele reference to Hopkins . Art . 171 ( a ) for neutral line read neutral axis . CHAPTER X. SAINT - VENANT , 1850-1886 . SECTION I.
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 a through an angle ß , then we easily find : x = xy sin ẞ + zx cos B = xy cos B + sin ...
... 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 a through an angle ß , then we easily find : x = xy sin ẞ + zx cos B = xy cos B + sin ...
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 ...
... 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 ...
Page 9
... axis . Here whence it follows 8x = 8y = 8 % = σyz = 0 , 2 8/5 = √ ( σxy / σxy ) 2 + ( σxa / σaca ) 3 • We have thus ... axes . Saint - Venant uses throughout 5 ] 6 SAINT - VENANT .
... axis . Here whence it follows 8x = 8y = 8 % = σyz = 0 , 2 8/5 = √ ( σxy / σxy ) 2 + ( σxa / σaca ) 3 • We have thus ... axes . Saint - Venant uses throughout 5 ] 6 SAINT - VENANT .
Page 10
... axis of the prism being an axis of elastic symmetry , and ( 2 ) the material being isotropic : see our Art . 1066 * . On p . 293 we have a remark that some writers have doubted the exactness of the above results , considering them only ...
... axis of the prism being an axis of elastic symmetry , and ( 2 ) the material being isotropic : see our Art . 1066 * . On p . 293 we have a remark that some writers have doubted the exactness of the above results , considering them only ...
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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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