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Home My WebLink AboutWPO200500013 Calculations Road Plan and Comps. 2005-07-29 Vertical Curve Computations; Beginning of Vertical Curve BVCx = 2030 ft BVCy = 1100.08 ft gl = -14 .25 g2 = 16.0 K = 15 Length, L, Grade difference, r, and Tangent Vertix, V L = - (gl-g2) *K L = 453 .75 ft L = L/100 r = (g2-gi) /L r = 6.6667 dVx = L- [-r*L*L/ (g2*2) ] / (gl/g2-1) Vx = BVCx+dVx*100 Vx = 2256.8750 Vy = BVCy+dVx*gl Vy = 1067.7503 low point at x = -gl/r BVCx+x*100 = _2243 .7500 y = 0.5*r*x*x+gl*x+BVCy y = 1084.8503 ft Looking at a points on curve xp staP=BVCx+xp xs=xp/100 y=0.5*r*xs*xs+gl*xs+BVCy m=r*xs+gl 0 2030.000 0.000 _1100.080 _-14 .250 xp+20 2050.000 0.200 _1097.363 _-12 .917 xp+50 2100.000 0.700 1091.738 -9.583 xp+50 2150.000 1.200 1087.780 -6.250 xp+50 2200.000 1.700 1085.488 -2 .917 xp+50 2250.000 2 .200 1084 . 863 0.417 xp+50 2300.000 2 .700 1085.905 3 .750 xp+50 2350.000 3 .200 1088.613 7.083 xp+50 2400.000 3 .700 _1092 .988 10.417 xp+50 2450.000 4.200 1099.030 _13 .750 End of Vertical Curve EVCx = (BVCx+L*100) EVCx = _2483 .7500 EVCy = BVCy+0.5*r*L*L+L*gl EVCy = _1104 .0503