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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:
• 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
Layer #
Layer
thickness
Depth to
layer midpoint
Induced
stress
change at
the layer
mid-point
Constrained
Modulus
Average
strain of
layer
Settlement
of layer
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:
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%.
HW #3
CEE 452/598
Foundation Engineering
3.13 Explain the difference between the drained condition and the undrained condition.
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.

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