A Treatise on HydrostaticsMacmillan and Company, 1894 - 536 pages |
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Page 27
... parallel to AB on each side of AB a short distance apart ; and consider the equilibrium of the prism of the fluid stratum cut out by these vertical planes . The fluid pressures being normal to the faces of the prism , and the weight ...
... parallel to AB on each side of AB a short distance apart ; and consider the equilibrium of the prism of the fluid stratum cut out by these vertical planes . The fluid pressures being normal to the faces of the prism , and the weight ...
Page 42
... parallel to the plane BC , P sin 0 W cos 0 , or P = W cot 0 . = We notice that if 0 = 45 ° , then P = W , so that the thrust P on the wall is given by the weight of the isosceles prism ABC . Now if AB = h , the depth of the water in ...
... parallel to the plane BC , P sin 0 W cos 0 , or P = W cot 0 . = We notice that if 0 = 45 ° , then P = W , so that the thrust P on the wall is given by the weight of the isosceles prism ABC . Now if AB = h , the depth of the water in ...
Page 43
... parallel earthwork dam , forming a wall sloping at an angle a sup- pose ; to determine the thrust on this sloping wall DE . Again draw through the foot of this wall E a plane EF in any direction ; but let us for simplicity choose the ...
... parallel earthwork dam , forming a wall sloping at an angle a sup- pose ; to determine the thrust on this sloping wall DE . Again draw through the foot of this wall E a plane EF in any direction ; but let us for simplicity choose the ...
Page 46
... instance , in a glacier . * 31 . Surcharged Retaining Walls . Suppose the substance is retained by a parallel vertical wall DE , of less height than the level AC , and that the RETAINING WALLS AND REVETMENTS . 47 surface is sloped down.
... instance , in a glacier . * 31 . Surcharged Retaining Walls . Suppose the substance is retained by a parallel vertical wall DE , of less height than the level AC , and that the RETAINING WALLS AND REVETMENTS . 47 surface is sloped down.
Page 48
... parallel to the talus DF , Q = wla2cos2e , the same as for liquid of density w cos2 . But this implies that the wall DE is surcharged to an infinite height ; but if surcharged to a finite height b , then when the plane of cleavage EN ...
... parallel to the talus DF , Q = wla2cos2e , the same as for liquid of density w cos2 . But this implies that the wall DE is surcharged to an infinite height ; but if surcharged to a finite height b , then when the plane of cleavage EN ...
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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...