A symmetrical sag curve passes through a point whose elevation is 45.67 m at a distance of 78 m from the PVC. The elevation of the PVC at station 5+045 is 49.58 m. The grade of the back tangent is -3.5% and the length of curve is 200 m. a. Compute the grade of the forward tangent. b. Where is the lowest point of the curve located from the PVC? If a 1.2-m diameter culvert is placed at the lowest point of the curve with its top buried 0.50 m below the ground, what is the elevation of the invert of the culvert? C.

The following table shows the stations and ordinates for a mass diagram. The free-haul distance is 600 ft. Overhaul cost is $12 per station yard. (a) Use the method of moments to compute the additional cost that must be paid to the contractor. (b) Sketch the ground profile if the finished grade of this roadway section is level (0 percent).