The Elastical Researches of Barré de Saint-Venant |
From inside the book
Results 1-5 of 23
Page 13
... approximation in practice as , say , Coulomb's solution of the torsion of a circular cylinder . It cannot be too often repeated that the distributions of tractive and shearing loads , such as occur in theory , are not attainable in ...
... approximation in practice as , say , Coulomb's solution of the torsion of a circular cylinder . It cannot be too often repeated that the distributions of tractive and shearing loads , such as occur in theory , are not attainable in ...
Page 15
... approximation . It is however easy to supply the steps which lead to the approximation . In equation ( 91 ) of the memoir in Liouville's Journal the exact value of F ( y , z ) is given depending on F , ( y , z ) which is determined by ...
... approximation . It is however easy to supply the steps which lead to the approximation . In equation ( 91 ) of the memoir in Liouville's Journal the exact value of F ( y , z ) is given depending on F , ( y , z ) which is determined by ...
Page 23
... approximation u = — 63+ Tyz , Saint - Venant's expression b2 c2 for the shift parallel to the axis in the case of an ellipse . This really is only an approximation when b and c are very unequal . It makes the greatest slides take place ...
... approximation u = — 63+ Tyz , Saint - Venant's expression b2 c2 for the shift parallel to the axis in the case of an ellipse . This really is only an approximation when b and c are very unequal . It makes the greatest slides take place ...
Page 25
... approximation to u u = - TZY . These results agree with Cauchy's M = when c / b is very small . 16 b3c3 b2 - c2 = 3 μT b2 + c2 and u = b2 + c2 Tyz 2 Saint - Venant in a footnote deduces Cauchy's results , but at the same time brings out ...
... approximation to u u = - TZY . These results agree with Cauchy's M = when c / b is very small . 16 b3c3 b2 - c2 = 3 μT b2 + c2 and u = b2 + c2 Tyz 2 Saint - Venant in a footnote deduces Cauchy's results , but at the same time brings out ...
Page 44
... approximation , Saint - Venant supposes to be zero ; but - 8/5 , and — 82/5 , without being equal to differ but une certaine moyenne slightly , and he then takes them equal to 7 , Sx 6 Sx - entre ces deux rapports . ' Thus he replaces ...
... approximation , Saint - Venant supposes to be zero ; but - 8/5 , and — 82/5 , without being equal to differ but une certaine moyenne slightly , and he then takes them equal to 7 , Sx 6 Sx - entre ces deux rapports . ' Thus he replaces ...
Other editions - View all
Common terms and phrases
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
Popular passages
Page 4 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L.
Page 4 - THE POINTED PRAYER BOOK, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches. Royal 24mo.
Page 9 - Aristotle's Psychology, in Greek and English, with Introduction and Notes, by EDWIN WALLACE, MA, late Fellow of Worcester College, Oxford.
Page 16 - Gains and Rules of Ulpian. (New Edition.} Translated and Annotated, by JT ABDY, LL.D., late Regius Professor of Laws, and BRYAN WALKER, MA, LL.D., Law Lecturer of St John's College. Crown Octavo, i6>. The Institutes of Justinian, translated with Notes by JT ABDY, LL.D., and BRYAN WALKER, MA, LLD., St John's College, Cambridge.
Page 2 - By FHA SCRIVENER, MA, DCL, LL.D., Prebendary of Exeter and Vicar of Hendon. Crown 8vo.
Page 26 - MILONE, with a Translation of Asconius' Introduction, Marginal Analysis and English Notes. Edited by the Rev. JOHN SMYTH PURTON, BD, late President and Tutor of St Catharine's College.
Page 8 - THE HISTORY OF ALEXANDER THE GREAT, being the Syriac version of the Pseudo-Callisthenes. Edited from Five Manuscripts, with an English Translation and Notes, by EAW BUDGE, MA, Christ's College.
Page 25 - BEDA'S ECCLESIASTICAL HISTORY, BOOKS III., IV., the Text from the very ancient MS. in the Cambridge University Library, collated with six other MSS. Edited, with a life from the German of EBERT, and with Notes, &c. by JEB MAYOR, MA, Professor of Latin, and JR LUMBY, DD, Norrisian Professor of Divinity.
Page 12 - Mathematical and Physical Papers. By Sir W. THOMSON, LL.D., DCL, FRS, Professor of Natural Philosophy in the University of Glasgow. Collected from different Scientific Periodicals from May, 1841, to the present time.
Page 14 - FREDERICK M°CoY, FGS One vol., Royal 410. Plates, £i. is. A CATALOGUE OF THE COLLECTION OF CAMBRIAN AND SILURIAN FOSSILS contained in the Geological Museum of the University of Cambridge, by JW SALTER, FGS With a Portrait of PROFESSOR SEDGWICK.