CM $2113$ Fall $2024$

Fundamental of Earthmoving

Please calculate the water content percentage for the soil of which the wet weight is $125$ lbs $,$

and the dry weight is $95$ lbs $.$

A contractor is excavating fill material from a borrow site to be used to construct a compacted

fill foundation for a parking garage. She has determined that $5,000$ compacted cubic yards of soil

are required to complete the structural fill. The in situ density of the fill material is $110$ pounds

per cubic foot, the loose density is $88$ pounds per cubic foot, and the compacted density is $125$

pounds per cubic foot.

a$.$ What is the percent swell for the fill material?

b$.$ What is the percent shrinkage for the fill material?

c$.$ How many loose cubic yards must be hauled in trucks from the borrow site to construct the

fill?

d$.$ How many bank cubic yards must be excavated and loaded on the trucks to construct the

fill?

A contractor is planning to use a Caterpillar $5080$ excavator to remove the soil for the

construction of the foundation of a new hotel. He has determined from the project plans that

$3,000$ bank cubic yards must be excavated and that $817$ compacted cubic yards will be required

to backfill the completed foundation. The contractor plans to stockpile the soil needed for backfill

on$-$site and haul the excess soil off$-$site using Caterpillar $769$ C trucks that have a heaped capacity

of $30$ loose cubic yards. The contractor had the soil tested and determined that the bank density

is $2,800$ pounds per cubic yard, the loose density is $2,295$ pounds per cubic yard, and the

compacted density is $3,256$ pounds per cubic yard.

a$.$ What is the percent swell for the soil?

b$.$ What is the percent shrinkage for the soil after being compacted?

c$.$ How many bank cubic yards should be stockpiled to be used for the backfill operation?

d$.$ How many truckloads of excess material should be hauled off$-$site if the trucks are fully

loaded to their heaped capacity?

Moister Content $(\%)=\frac{(\text{W}\text{e}\text{t}\text{U}\text{n}\text{i}\text{t}\text{W}\text{e}\text{i}\text{g}\text{h}\text{t}-\text{D}\text{r}\text{y}\text{U}\text{n}\text{i}\text{t}\text{W}\text{e}\text{i}\text{g}\text{h}\text{t})**100\%}{\text{D}\text{r}\text{y}\text{U}\text{n}\text{i}\text{t}\text{W}\text{e}\text{i}\text{g}\text{h}\text{t}}$

Percent Shrinkage $=\frac{(D_C-D_B)(100\%)}{D_C}or\frac{(V_B-V_C)(100\%)}{V_B}$

Percent Swell $=\frac{(D_B-D_L)(100\%)}{D_L}or\frac{(V_L-V_B)(100\%)}{V_B}$

$V_B=\frac{V_L(100\%)}{100\%+\text{P}\text{e}\text{r}\text{c}\text{e}\text{n}\text{t}\text{S}\text{w}\text{e}\text{l}\text{l}}$

$V_B=\frac{V_C(100\%)}{100\%-\text{P}\text{e}\text{r}\text{c}\text{e}\text{n}\text{t}\text{S}\text{h}\text{r}\text{i}\text{n}\text{k}\text{a}\text{g}\text{e}}$

$V_L=\frac{V_C(100\%+\text{P}\text{e}\text{r}\text{c}\text{e}\text{n}\text{t}\text{S}\text{w}\text{e}\text{l}\text{l})}{100\%-\text{P}\text{e}\text{r}\text{c}\text{e}\text{n}\text{t}\text{S}\text{h}\text{r}\text{i}\text{n}\text{k}\text{a}\text{g}\text{e}}$

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