This 3-hour course presents a step-by-step solution to a comprehensive range of 1-d consolidation problems for civil engineering students and professionals.
It covers the gap that exists in mainstream curricula that lack sufficient coverage of solved examples due to time limitations.
I have carefully selected the course problems so that they match those that you may come across in your assignments or exams. The course is also applicable to real-life settlement problems in clayey soils.
After this detailed example, you will be able to:
plot the void ratio versus stress curve both arithmetically and logarithmically;
determine the preconsolidation pressure using Casagrande method;
determine the compression index Cc and recompression index Cr.
After this detailed example, you will be able to:
determine the stress history of a soil profile in terms of the state of consolidation (NC soil versus OC soil);
determine the margin of consolidation and the over-consolidation ratio OCR.
After this detailed example, you will be able to:
determine the total consolidation settlement due to placement of a fill material;
examine the consolidation of sand compared with clay.
After this detailed example, you will be able to:
determine the total consolidation settlement of 2 different clay layers loaded by a fill material using consolidation test results;
determine whether each clay is either normally consolidated or over-consolidated;
use the proper settlement formulas.
After this detailed example, you will be able to:
plot the e-log p' curve from a set of data of vertical stress versus sample height;
determine the compression index Cc of the given soil.
After this detailed example, you will be able to:
determine the coefficient of consolidation (cv) using time-settlement data;
determine the coefficient of volume compressibility (mv) for a pressure increment using the time settlement data;
determine the coefficient of permeability (k) from the time-settlement data.
After this detailed example, you will be able to:
use data from a soil profile and associated e-log p' curve to determine the consolidation settlement under a loaded footing;
determine the time to 70% consolidation.
After this detailed example, you will be able to:
solve a consolidation problem involving vertical sand drains (or equivalent);
determine the time to 90% consolidation for a clay site treated with vertical sand drains and loaded with a fill surcharge;
solve for the combined vertical and radial drainage to satisfy a specific degree of consolidation.
After this detailed example, you will be able to:
determine the void ratio from laboratory consolidation test results (stress versus sample height)
plot e-log p' curve using the consolidation data;
determine the settlement resulting from a given pressure increment;
determine the secondary consolidation settlement after a certain time.
After this detailed example, you will be able to:
process data involving piezometric measurements due to consolidation;
determine the degree of consolidation from water height in a piezometer by loading;
determine the stress increase at a point using piezometer data at another point;
differentiate between the average degree of consolidation and the degree of consolidation at a point;
apply the general consolidation equation involving Fourier series.
After this detailed example, you will be able to:
determine the settlement of a clay deposit due to dewatering (water level drop) for a given soil profile;
determine the swelling of the clay due to the rising of the water level to its original level.
After this detailed example, you will be able to:
determine the primary consolidation settlement under a structure for a given soil profile consisting of clay;
determine the settlement 9 months after the application;
determine the effective stress at a point in the middle of the soil;
determine the time needed for the water height in a piezometer installed in the middle of the clay to reach a certain elevation.
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