Earthworks Calculation Along Curved Cl
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© 2006: Ali A. AlBdour. al.bdour(at)yaho.com
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ρ
EARTHWORKS CALCULATION ALONG CURVED CL VOLUME = Ω. ρ. Ф Ω = AVERAGE SECTION SURFACE AREA ρ = RADIUS FROM ROAD CL TO SECTION CENTROID (G) Ф = ANGLE BETWEEN SECTIONS R= ROAD CL RADIUS ρ=R+a a = (a1 + a2 ) / 2 V = Ω . Ф . (R ± a) V= Ω. Ф.R ± Ω. Ф.a V = Ω . 20.0 ± Ω . (20/R) . a V = Ω . 20.0 ( 1 ± (1/R) . a ) V = (AREA1 + AREA 2) . 20 . ( 1 ± 2
a ) R
DATA: CURVE AT PI-13 , RADIUS (R) = 15.0 m STA 2+000 CUT AREA= 661.41 m2, DISTANCE TO CENTROID (a) = 48.964 m STA 2+020 CUT AREA= 887.238 m2, DISTANCE TO CENTROID (a) = 59.142 m STA 2+040 CUT AREA= 37.486 m2, DISTANCE TO CENTROID (a) = -2.764 m VOLUME CALCULATIONS: FROM STA 2+000 TO STA 2+020 V = (661.41 + 887.238) . 20 . ( 1 ± 2 V= 774.324 x 20 x 4.604
0.5 (48.964+59.142) 15
)
V= 71,292.527 m3 FROM STA 2+020 TO STA 2+040 V = (887.238 + 37.486) . 20 . ( 1 ± 2 V= 26,625.270 m3
0.5 (59.142-2.764) 15
)
TOTAL VOLUME = 71,292.527 + 26,625.270 = 97,917.797 m3
?
ρ
EARTHWORKS CALCULATION ALONG CURVED CL VOLUME = Ω. ρ. Ф Ω = AVERAGE SECTION SURFACE AREA ρ = RADIUS FROM ROAD CL TO SECTION CENTROID (G) Ф = ANGLE BETWEEN SECTIONS R= ROAD CL RADIUS ρ=R+a a = (a1 + a2 ) / 2 V = Ω . Ф . (R ± a) V= Ω. Ф.R ± Ω. Ф.a V = Ω . 20.0 ± Ω . (20/R) . a V = Ω . 20.0 ( 1 ± (1/R) . a ) V = (AREA1 + AREA 2) . 20 . ( 1 ± 2
a ) R
DATA: CURVE AT PI-13 , RADIUS (R) = 15.0 m STA 2+000 CUT AREA= 661.41 m2, DISTANCE TO CENTROID (a) = 48.964 m STA 2+020 CUT AREA= 887.238 m2, DISTANCE TO CENTROID (a) = 59.142 m STA 2+040 CUT AREA= 37.486 m2, DISTANCE TO CENTROID (a) = -2.764 m VOLUME CALCULATIONS: FROM STA 2+000 TO STA 2+020 V = (661.41 + 887.238) . 20 . ( 1 ± 2 V= 774.324 x 20 x 4.604
0.5 (48.964+59.142) 15
)
V= 71,292.527 m3 FROM STA 2+020 TO STA 2+040 V = (887.238 + 37.486) . 20 . ( 1 ± 2 V= 26,625.270 m3
0.5 (59.142-2.764) 15
)
TOTAL VOLUME = 71,292.527 + 26,625.270 = 97,917.797 m3
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