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METHOD OF COMPENSATING DISTANCE BETWEEN
“STATIONS OF GROSS SECTIONS
TAKEN ON CURVES
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In the oross sections at the left, and in the above plan, points x, x,,
Xoeeese, and pointad, 4, cece, respectively, indicate the location of the
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senters of gravity of the end areas with reapect to centerline.
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The compensated distance between adjacent sections ia to the distance between
their stations as the radius at the average oehter of gravity is to the center
line radius.
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Tf the roadbed rune out of, or into, cut or fill between section » the compensated distance to or from the end or beginning, respectively, of out or fill,
is to the centerline distance as the radius to the center of gravity of the edjacent section ia to the centerline radius. The centerline distance may
be
graphically determined thus; .firet, plot from the oross sections a profile
through the zaro point of out or fill; second, soale distanoe fron adjacent
seotion to grade point on profile. Computations for sections shown,
Daag 2806038+ 92:5, 1005 whonse Dz.c 28.60 x 0.95 = 26,8.
,
92.5 +88.0
Day #26 6003 511005 whence D. y 725 * 0.9026 = 2206.
Dg-gtl6 (scaled)::8:100; whence Dy, = 16x 0.88
= 18,2.
Dg_gthT.6 (scaled)::112.5;100; whenoe a = 17,6 x 1.118 = 19.6.
Do._ 115.5 (scaled)::110.5;100; whence Do. = 15.6 x 1.105 = 14.9.
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Computation;
by proportion the center of gravity et
62+ 668.71 B.C. is found to be approximitely 6 feet
to the left of the centerline.
Therefore
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110.6+ 105.0
Deeg 1187s “—_—F—~—
—"4 100; whence De_ee © eT] x 1.0778 = 20.2.
Dex z
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for aurved portion of earthwork and add to it the tangent distance
to obtain
compensated distance. Proportion between the aenters
of gravity et the tangent
and ourve sections for the oenter gravity at the
B.C. or E.C. and apply the
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When « B.C. or an E.C. lies between adjacent sections,
compensate distance
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COMPENSATION: FOR: CURVATURE — CUBIC YARDAGE CALCULATIONS |
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