The Elastical Researches of Barré de Saint-Venant |
From inside the book
Results 1-5 of 83
Page 11
... cross section , and turn them inside out , we have a state of strain with no applied force . On p . 295 Saint - Venant shows that his results for the prism still hold if the shifts are large , but their fluxions remain small . [ 7. ] A ...
... cross section , and turn them inside out , we have a state of strain with no applied force . On p . 295 Saint - Venant shows that his results for the prism still hold if the shifts are large , but their fluxions remain small . [ 7. ] A ...
Page 13
... cross - section , and the two others intersect in the line of sectional centroids , i.e. in the axis of the prism . He thus makes use of formulae which in his notation apparently involve twelve independent coefficients , but these he at ...
... cross - section , and the two others intersect in the line of sectional centroids , i.e. in the axis of the prism . He thus makes use of formulae which in his notation apparently involve twelve independent coefficients , but these he at ...
Page 15
... cross - section , the question of the buckling action of such load arises . This is a point to which we have referred in our first volume : see Art . 911 * . Saint - Venant does not allude to it . The second generalisation is to the ...
... cross - section , the question of the buckling action of such load arises . This is a point to which we have referred in our first volume : see Art . 911 * . Saint - Venant does not allude to it . The second generalisation is to the ...
Page 16
... cross - sections . Let Oz , Oy be the principal axes at O the centroid of any cross- section of area w ; let K , Ky be the swing - radii about these axes , and , the angles which the load and flexure planes make respectively with the ...
... cross - sections . Let Oz , Oy be the principal axes at O the centroid of any cross- section of area w ; let K , Ky be the swing - radii about these axes , and , the angles which the load and flexure planes make respectively with the ...
Page 17
... cross - sections of a beam under flexure do not remain plane even within the limit of elasticity . There is also an investigation of the change in the cross - sectional contour ( pp . 318-323 ) . We shall return to these points later ...
... cross - sections of a beam under flexure do not remain plane even within the limit of elasticity . There is also an investigation of the change in the cross - sectional contour ( pp . 318-323 ) . We shall return to these points later ...
Other editions - View all
Common terms and phrases
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