The Elastical Researches of Barré de Saint-Venant |
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Page 16
... quantities ; then the value of u at the origin being denoted by u value at a point very near the origin would be the u + ( are ) du h + ( du ) . k . du Now dy ( de ) have ( du ) dz 0 is zero since u is an even function of y , so that if ...
... quantities ; then the value of u at the origin being denoted by u value at a point very near the origin would be the u + ( are ) du h + ( du ) . k . du Now dy ( de ) have ( du ) dz 0 is zero since u is an even function of y , so that if ...
Page 24
... quantities which are unsymmetrical in b 1 Saint - Venant puts sinh for cosh in the denominator here by a misprint ( p . 368 , equation 159 ) . sin ( 2n - 1 ) πу 26 cosh πόλ 2c ( 2n - 1 ) πс ) 26 and c . Symmetrical values may be at once ...
... quantities which are unsymmetrical in b 1 Saint - Venant puts sinh for cosh in the denominator here by a misprint ( p . 368 , equation 159 ) . sin ( 2n - 1 ) πу 26 cosh πόλ 2c ( 2n - 1 ) πс ) 26 and c . Symmetrical values may be at once ...
Page 60
... quantities used for the special cases afterwards dealt with . Thus we note : First , the values of the stresses : P 2 xx = p ( a− x ) % , SdF It follows that X2 = 202 Medz = x2 xy = dF dy Pyz +21 ' μ , ωκε . ( 20 ′ ) . P + μg 60 2ωκε 2 ...
... quantities used for the special cases afterwards dealt with . Thus we note : First , the values of the stresses : P 2 xx = p ( a− x ) % , SdF It follows that X2 = 202 Medz = x2 xy = dF dy Pyz +21 ' μ , ωκε . ( 20 ′ ) . P + μg 60 2ωκε 2 ...
Page 61
... quantities of the second order , is shewn to be x ' = σ + F ( y ' , ' ) ....... . ( 21 ) , where the origin is the centroid of the cross - section , the axis of x ' is the tangent there to the elastic line , that of y ' is parallel to y ...
... quantities of the second order , is shewn to be x ' = σ + F ( y ' , ' ) ....... . ( 21 ) , where the origin is the centroid of the cross - section , the axis of x ' is the tangent there to the elastic line , that of y ' is parallel to y ...
Page 68
... quantities which occur in the previous sections . Saint - Venant obtains the following results when For o 21 = 10 : M1 When = 1 12220 星 1 1.25 1.5 2 2.5 3 M2 Pc2 2μ ωκε x67624 84918 90729 94031 96177 97101 98341 98934 99259 It is shewn ...
... quantities which occur in the previous sections . Saint - Venant obtains the following results when For o 21 = 10 : M1 When = 1 12220 星 1 1.25 1.5 2 2.5 3 M2 Pc2 2μ ωκε x67624 84918 90729 94031 96177 97101 98341 98934 99259 It is shewn ...
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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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