Railroad Curves and Earthwork

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Spon & Chamberlain, 1894 - 194 páginas
 

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Página 67 - Shew that the locus of the middle points of a system of parallel chords of a parabola is a straight line parallel to the axis of the parabola.
Página 128 - A Prismoid is a solid having for its two ends any dissimilar plane figures of the same number of sides, and all the sides of the solid plane figures also." (Quarto Mens., 1770.) This is the oldest and best definition of the Prismoid which we are able to find on record.* Under this definition, for which the General Rule (coinciding with Simpson's) was framed...
Página 146 - ... solid thus generated is equal to the product of the revolving area and the path described by the center of gravity of the plane area during the revolution.
Página 174 - The average length of haul is the distance between the center of gravity of the material as found in excavation and the center of gravity as deposited. It...
Página 174 - NY, 1899, (pp. 174!^9). gives a comprehensive discussion of earthwork haul and of the mass diagram. The following extract, reproduced by permission, from pp. 174-175 of the 1899 edition, indicates the basis of the author's discussion : "When material from excavation is hauled to be placed in embankment, it is customary to pay to the contractor a certain sum for every cubic yard hauled. Oftentimes it is provided that no payment shall be made for material hauled less than a specified distance. In the...
Página 8 - ... within the scope of this book and the reader is referred to the review article by Price (1955).
Página 175 - We may figure the total haul as the sum of (l) total 'haul' of excavation to AB and (2) total 'haul' of embankment from AB. "The total 'haul' of excavation to AB and the total 'haul' of embankment from AB will most conveniently be calculated as the sum of the hauls of the several sections of earthwork. For each section the haul is the product of (i) the solidity S of that section and (2) distance from center of gravity of that section to the plane AB. "When the two end areas are equal, the center...
Página 175 - When excavation is placed in embankment, there may be some difficulty in determining just where any given section of excavation will be placed and where its center of gravity will be in embankment. "In hauling excavation in embankment, there is some plane, as indicated by AB (Fig. 8), to which all excavation must be hauled on its way to be placed in embankment, and (another way of putting it) from which all material placed in embankment must be hauled on its way from excavation. We may figure the...
Página 175 - haul' for each section is the product of the (l) number of cubic yards in that section and (2) distance between the center of gravity in excavation and the center of gravity as deposited. "When excavation is placed in embankment, there may be some difficulty in determining just where any given section of excavation will be placed and where its center of gravity will be in embankment. "In hauling excavation in embankment, there is some plane, as indicated by AB (Fig. 8), to which all excavation must...

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