Soil Deformation and Strength.Using word or excel to create a spreadsheet to standardize the calculations procedures.CEE 452/598

Foundation Engineering

HW #3

HW#3 Soil Deformation and Strength

General requirement:

• Use Word or equivalent word processor to prepare your answers

• For problems 3.9 and 3.10, develop a spreadsheet for calculations. Upload the spreadsheets to Canvas as well.

3.9. A 3 m × 3 m footing is to be built on the surface of a 15 m thick layer of unsaturated sand.

The sand is underlain by a very dense gravel layer. The water table is at a great depth. The sand

is relative uniform and in situ testing indicates it has a constrained modulus of 10 MPa. The footing load is 200 kN. Compute the settlement under the center of the footing.

Requirements:

• Divide the soil layer to 8 layers, with thickness of 2 m for the first 7 layers and a thickness of 1 m for the 8th layer.

• Use Polous’ solution to calculate induced stress

• Use a spreadsheet to standardize the calculation procedures. Suggested columns of

the spreadsheet include:

Layer #

Layer

thickness

Depth to

layer midpoint

Induced

stress

change at

the layer

mid-point

Constrained

Modulus

Average

strain of

layer

Settlement

of layer

• Use Word or equivalent word processor to prepare your answers; upload both word

and spreadsheet files to Canvas.

CEE 452/598

Foundation Engineering

HW #3

3.10 A 3-foot square footing carries a sustained load of 10 k. It is placed on the surface of a 30foot thick saturated overconsolidated clay underlain by dense sand. Based on laboratory tests, the

clay can be adequately modeled using the e-log-p method. The laboratory tests provide the

following compressibility information for the clay:

The groundwater table is located at the ground surface. Compute the settlement of the

footing.

Requirement:

• Limit your calculations of settlement to the first 6 ft (2xB) of clay. Divide this clay

layer into 3 sublayers uniformly (2ft each).

• Use Polous’ solution to calculate induced stress

• Use a spreadsheet for calculation. Suggested columns include:

• Use Word or equivalent word processor to prepare your answers; upload both word

and spreadsheet files to Canvas.

CEE 452/598

Foundation Engineering

3.12. Estimate the effective friction angle of the following soils:

a. Silty sand with dry unit weight of 100 lb/ft3 .

b. Poorly-graded gravel with relative density of 70%.

c. Very dense well-graded sand.

• Use Word or equivalent word processor to prepare your answers

HW #3

CEE 452/598

Foundation Engineering

3.13 Explain the difference between the drained condition and the undrained condition.

• Use Word or equivalent word processor to prepare your answers

HW #3

CEE 452/598

Foundation Engineering

HW #3

3.14 A soil has cʹ = 5 kPa and φʹ = 32°. The effective stress at a point in the soil is 125 kPa.

Compute the shear strength normal to this stress at this point.

• Use Word or equivalent word processor to prepare your answers

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