How many trips would one rubber-tired Herrywampus have to make to backfill a space with a geometrical volume of 5400 cubic yard? The maximum capacity of the machine is 30 cubic yard (heaped), or 40 tons. The material is to be compacted with a shrinkage of 25% (relative to bank measure) and has a swell factor of 20% (relative to bank measure). The material weighs 3,000 lb/cu yd (bank). Assume that the machine carries its maximum load on each trip. Check by both weight and volume limitations

If analyzed by volume capacity, more trips are needed to fill the space, thus the required trips are 288

Explanation:

a) By volume.

The shrinkage factor is:

The volume at loose is:

If the Herrywampus has a capacity of 30 cubic yard:

b) By weight

The swell factor in terms of percent swell is equal to:

The weight of backfill is:

The Herrywampus has a capacity of 40 ton:

If analyzed by volume capacity, more trips are needed to fill the space, thus the required trips are 288

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