Formulæ for the Calculation of Railroad Excavation and Embankment

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J. Dickson & bro., printers, 1876 - 88 páginas
 

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Página 8 - Sb(mid-widths + ^ end-widths) >• • . — 2Sb2 x no. of vols. } 54 Let us illustrate this formula by applying it to the following extract from a field book, containing columns of stas., centre cuts, left and right heights and dists. of slope-stakes, the road-bed being 18 ft., slope, 1 to 1, dist. apart of stas., 100 ft.: EIGHT.
Página 8 - ... represent width and centre at next station, the area of its cross-section may be expressed by a formula similar to the above : half the sum of these, multiplied by dist., D, between, and divided by 27, gives a near approximate of the volume bet. in cu. yds. B@- Vol. - (we+w'c1 + Sb(w + iu')-4:SI?)T™Add two consecutive volumes of equal length by means of the general formula, w",c", representing the width and centre of third cross-section : Vol. = (we + 2w/c' + w"c" + Sb(w + 2w/ + iv") - SSff)^.
Página 8 - Supposing w', c' to represent width and centre at next .station, the area of its cross-section may be expressed by a formula similar to the above : half the sum of these, multiplied by dist., D, between, and divided by 27, gives a near approximate of the volume bet. in cu. yds.
Página 8 - By continual addition we may get a formula. for the sum of any number of consecutive volumes ; but, letting n denote the number of volumes, we may at ouce indite a general formula for the calculation of any number of volumes consecutive.
Página 23 - COR. sum,— 3827, divided by 324 is —11.81 cu. yds. This added to the approx.

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