The following table shows the stations and ordinates for a mass diagram. The freehaul 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%).
What will be an ideal response?
First, find the moments and overhaul distances about stations 2 + 20 and 8 + 20.
About sta. 2 + 20: [(100/2 + 100 + 20)/100](50) + [(100/2 + 20)/100](75 –
50) + [(20/2)/100](95 – 75) = 104.5 yd3-sta
Overhaul distance: (104.5 yd3-sta) / 95 yd3 = 1.10 sta
About sta. 8 + 20: [(80/2)/100](95 – 85) + [(100/2 + 80)/100](85 – 55) +
[(30/2 + 100 + 80)/100](55) = 150.25 yd3-sta
Overhaul distance: (150.25 yd3-sta) / 90 yd3 = 1.58 sta
The overhaul cost can be calculated as:
Overhaul cost = (1.100 sta + 1.58 sta)(95 yd3)($12/yd3-sta)
= $3055.20
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