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A grade of -4.1% grade intersects a grade of +2.8% at Station 11 + 588.00 of elevations 20.80 meters. These two center grade lines are to be connected by a 250-meter vertical parabolic curve. Complete solution please so I can understand step by step.
A. At what station is the cross-drainage pipes be situated?
B. If the overall outside dimensions of the reinforced concrete pipe to be installed is 90 cm, and the top of the culvert is 30 cm below the subgrade, what will be the invert elevation at the center?
C. A descending grade of 6% and an ascending grade of 2% intersect at Sta 12 + 200 km whose elevation is at 14.375 m. The two grades are to be connected by a parabolic curve, 160 m long. Find the elevation of the first quarter point on the curve.
D. A highway engineer must stake a symmetrical vertical curve where an entering grade of +0.80% meets an existing grade of -0.40% at station 10 + 100 which has an elevation of 140.36 m. If the maximum allowable change in grade per 20 m station is -0.20%, what is the length of the vertical curve?
E. A grade line AB having a slope of +5% intersect another grade line BC having a slope of –3% at B. The elevations of points A, B and C are 95 m, 100 m and 97 m respectively. Determine the elevation of the summit of the 100 m parabolic vertical curve to connect the grade lines.
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