A History of the Theory of Elasticity and of the Strength of Materials: From Galilei to the Present Time, المجلد 1University Press, 1886 - 924 من الصفحات |
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الصفحة 17
... shews us the evil as well as the good which the Cartesian ideas brought to science . It is startling to find the French Academy awarding their prize to an essay of this type , almost in the age of the Bernoullis and Euler . Finally it ...
... shews us the evil as well as the good which the Cartesian ideas brought to science . It is startling to find the French Academy awarding their prize to an essay of this type , almost in the age of the Bernoullis and Euler . Finally it ...
الصفحة 36
... shews that the elastic curve then becomes a circle . Saint - Venant alludes to this in the Comptes Rendus , Vol . XIX . page 184 , where he remarks : Déjà M. Wantzel , dans une communication faite le 29 juin à la Société Philomatique ...
... shews that the elastic curve then becomes a circle . Saint - Venant alludes to this in the Comptes Rendus , Vol . XIX . page 184 , where he remarks : Déjà M. Wantzel , dans une communication faite le 29 juin à la Société Philomatique ...
الصفحة 41
... shews that the minimum force is slightly reduced by taking the weight of the beam into consideration . 69. Euler , 1764. De motu vibratorio fili flexilis , corpusculis quotcunque onusti . This is published in the Novi Commentarii ...
... shews that the minimum force is slightly reduced by taking the weight of the beam into consideration . 69. Euler , 1764. De motu vibratorio fili flexilis , corpusculis quotcunque onusti . This is published in the Novi Commentarii ...
الصفحة 44
... shews that there will be no flexure , so long as the superincumbent weight is less than π . Ek2 / a2 , where Ek ' is the ' moment of stiffness ' and a is the height of the column . He also notes , § 10 , that if a horizontal force dis ...
... shews that there will be no flexure , so long as the superincumbent weight is less than π . Ek2 / a2 , where Ek ' is the ' moment of stiffness ' and a is the height of the column . He also notes , § 10 , that if a horizontal force dis ...
الصفحة 47
... shews that for some value of v less than the one calculated ( Euler finds this limit of v = 1 of 266 in § 32 of the second memoir ) , the series above given for v ought to vanish . This mechanical result seems to be contradicted by the ...
... shews that for some value of v less than the one calculated ( Euler finds this limit of v = 1 of 266 in § 32 of the second memoir ) , the series above given for v ought to vanish . This mechanical result seems to be contradicted by the ...
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after-strain angles axes axis beam Bernoulli body calculated Calculus of Variations Cauchy Cauchy's coefficients cohesion compression considered constant corps solides curve cylindrical d'une deduced deflection denote deux dilatation direction dx dy dy dz Eaton Hodgkinson elastic limit elastica élastiques entitled équations equilibrium Euler experimental experiments expression fait flexure force formulae function given Hodgkinson Hooke's Law hypothesis integrals investigation iron isotropy James Bernoulli l'élasticité l'équilibre Lagerhjelm Lagrange Lamé lamina Leçons mathématiques Mécanique memoir method molecular molecules motion mouvement Navier neutral line obtained occupies pages paper plane plate Poisson pression prism problem qu'il ratio refers remarks rupture Saint-Venant Savart shews strain strength Strength of Materials stress stretch stretch-modulus suppose surface temperature theoretical theory of elasticity torsion traction tractive load transverse velocity vibrations volume Wertheim wire
مقاطع مشهورة
الصفحة 12 - Now the smallest Particles of Matter may cohere by the strongest Attractions, and compose bigger Particles of weaker Virtue; and many of these may cohere and compose bigger Particles whose Virtue is still weaker, and so on for divers Successions, until the Progression end in the biggest Particles on which the Operations in Chymistry, and the Colours of natural Bodies depend, and which by cohering compose Bodies of a sensible Magnitude.
الصفحة 923 - Press. 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.
الصفحة 11 - The parts of all homogeneal hard bodies, which fully touch one another, stick together very strongly. And for explaining how this may be, some have invented hooked atoms, which is begging the question...
الصفحة 596 - ... ses particules nagent en quelque sorte au milieu d'un fluide. Si ce fluide n'est pas la cause unique de tous les faits observables, il doit au moins les modifier, les propager, compliquer leurs lois. Il n'est donc plus possible d'arriver à une explication rationnelle et complote des phénomènes de la nature physique, sans faire intervenir cet agent, dont la présence est inévitable.
الصفحة 11 - For it is well known that bodies act one upon another by the attractions of gravity, magnetism, and electricity; and these instances show the tenor and course of nature, and make it not improbable but that there may be more attractive powers than these. For Nature is very consonant and conformable to herself.
الصفحة 12 - And thus Nature will be very conformable to her self and very simple, performing all the great Motions of the heavenly Bodies by the Attraction of Gravity which intercedes those Bodies, and almost all the small ones of their Particles by some other attractive and repelling Powers which intercede the Particles.
الصفحة 13 - Fermentation, and the Cohesion of Bodies. These Principles I consider not as occult Qualities, supposed to result from the specifick Forms of Things, but as general Laws of Nature by which the Things themselves are formed; their Truth appearing to us by Phenomena, though their Causes be not yet discovered. For these are manifest qualities and their Causes only are occult.
الصفحة 80 - The modulus of the elasticity of any substance is a column of the same substance, capable of producing a pressure on its base which is to the weight causing a certain degree of compression, as the length of the substance is to the diminution of its length.
الصفحة 12 - And how such very hard Particles which are only laid together and touch only in a few Points, can stick together, and that so firmly as they do, without the assistance of something which causes them to be attracted or press'd towards one another, is very difficult to conceive.
الصفحة 515 - From what has been stated above, deduced from experiments made with great care, it is evident that the maxim of loading bodies within the elastic limit, has no foundation in nature...