A Treatise on HydrostaticsMacmillan and Company, 1894 - 536 pages |
From inside the book
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Page 6
... stress ( shear ) to make it flow while the viscous fluid requires a certain length of time for any shearing stress , however small , to permanently displace the parts to an appreciable extent . ( K. Pearson , The Elastical Researches of ...
... stress ( shear ) to make it flow while the viscous fluid requires a certain length of time for any shearing stress , however small , to permanently displace the parts to an appreciable extent . ( K. Pearson , The Elastical Researches of ...
Page 7
... stress in its interior ; that is , it can be very easily divided along any plane ( given plenty of time , if the fluid is viscous ) . " Corollary . It follows that , when the fluid is at rest , the tangential stress in any plane in its ...
... stress in its interior ; that is , it can be very easily divided along any plane ( given plenty of time , if the fluid is viscous ) . " Corollary . It follows that , when the fluid is at rest , the tangential stress in any plane in its ...
Page 8
... Stress . We have used the word STRESS in the Definition of a Fluid above ; a stress is defined as composed of two equal and opposite balancing forces , acting between two bodies or two parts of the same body . These two forces ...
... Stress . We have used the word STRESS in the Definition of a Fluid above ; a stress is defined as composed of two equal and opposite balancing forces , acting between two bodies or two parts of the same body . These two forces ...
Page 9
... Stress across a dividing plane in a Solid can be resolved into two components , one perpendicular to the plane , of the nature of a tension or pressure , and the other component tangential to the plane ; and it is this tangential stress ...
... Stress across a dividing plane in a Solid can be resolved into two components , one perpendicular to the plane , of the nature of a tension or pressure , and the other component tangential to the plane ; and it is this tangential stress ...
Page 29
... stress across PQ being normal from the definition of a fluid , the plane PQ behaves like a smooth plane , and the top of the wave would begin to slide down PQ , and equilibrium would be destroyed . Thus the waves could not be at rest ...
... stress across PQ being normal from the definition of a fluid , the plane PQ behaves like a smooth plane , and the top of the wave would begin to slide down PQ , and equilibrium would be destroyed . Thus the waves could not be at rest ...
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Common terms and phrases
angle angular velocity atmospheric pressure axis B₂ balloon barometer barometric height Bernoulli's Theorem Boyle's Law catenoid centre of pressure circular cm³ cone cross section cubic curvature curve of buoyancy curve of flotation curve of statical cylinder denotes depth diameter displacement distance diving bell draft dynamical stability ellipse equal pressure equation equilibrium feet filled FLOATING BODY fluid force free surface ft-lb ft-tons ft² ft³ given gravity heel height h horizontal plane hydrometer hydrostatic hyperbola immersed inches inclined lb/ft² lb/in² length mercury metacentric height parabola paraboloid parallel pendulum perpendicular piston plumb line position of equilibrium Prove pump radius rotation ship siphon solid specific gravity sphere spherical suppose surface of buoyancy surfaces of equal tangent temperature tension tetrahedron theorem thrust tons tube upright position V₁ valve velocity vertex vessel volume W₁ water line area weight
Popular passages
Page 51 - Pitcher, that so at least he might be able to get a little of it. But his strength was not sufficient for this. At last seeing some pebbles lie near the place, he cast them one by one into the Pitcher ; and thus, by degrees, raised the water up to the very brim, and satisfied his thirst.
Page 91 - Archimedes stated that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
Page 104 - ... ten imperial standard pounds weight of distilled water weighed in air against brass weights, with the water and the air at the temperature of sixty-two degrees of Fahrenheit's thermometer, and with the barometer at thirty inches.
Page 131 - Bronze contains 91 per cent, of copper, 6 per cent. of zinc, and 3 per cent, of tin. A mass of bell-metal (consisting of copper and tin only) and bronze fused together is found to contain 88 per cent. of copper, 4-875 per cent, of zinc, and 7-125 of tin.
Page 5 - When this continuous alteration of form is only produced by stresses exceeding a certain value, the substance is called a Solid, however soft it may be. When the very smallest stress, if continued long enough, will cause a constantly increasing change of form, the body must be regarded as a Viscous fluid) however hard it may be.
Page 202 - ... horizontal: if 2a be the vertical angle of the cone, and /3 the angle between the plane base and the shortest generating line, shew that cot /3 = cot 4a - } cosec 4a.
Page 101 - The weight in vacuo of the platinum weight (mentioned in the First Schedule to this Act), and by this Act declared to be the imperial standard for determining the imperial standard pound, shall be the legal standard measure of weight, and of measures having reference to weight, and shall be called the imperial standard pound, and shall be the only unit or standard of weight from which all other weights and all measures having reference to weight shall be ascertained.
Page 37 - A hollow cone, whose axis is vertical and base downwards, is filled with equal volumes of two liquids, whose densities are in the ratio of 3 : 1 ; prove that the pressure at a point in the base is (3 - ,/4) times as great as when the vessel is filled with the lighter fluid.
Page 278 - Defence of the Doctrine touching the Spring and Weight of the Air . . . against the Objections of F.
Page 104 - The unit or standard measure of capacity from which all other measures of capacity, as well for liquids as for dry goods, shall be derived, shall be the gallon containing ten imperial standard pounds weight of distilled water weighed in air against brass weights, with the water and the air at the temperature of sixty-two degrees of Fahrenheit's thermometer, and with the barometer at thirty...