Problem Set 1
1. Following are the results of sieve analysis
a. Determine the percent finer than each sieve size and plot a grain-size distribution curve.
b. Determine D10, D30, and D60 from the grain-size distribution curve.
c. Calculate the uniformity coefficient, Cu.
d. Calculate the coefficient of gradation, Cc.
2. Calculate the uniformity coefficient and the coefficient of gradation of the soil with the following
properties:
D10 = 0.082 mm
D30 = 0.29 mm
D60 = 0.51 mm
3. Repeat problem 1 given the following sieve analysis results:
4. Repeat problem 1 given the following sieve analysis results:
5. In a hydrometer test, the results are as follows: Gs = 2.70, temperature of water = 23℃, and hydrometer
reading = 25 at 60 min after the start of sedimentation. What is the diameter, D, of the smallest-size
particles that have settled beyond the zone of measurement at that time (that is, t = 60 min)?
6. For a given soil, show that:
7. The moist mass of 2.8 x 10-3 m3 of soil is 5.53 kg. If the moisture content is 10% and the specific
gravity of soil solids is 2.72, determine the following:
a. Moist density
b. Dry density
c. Void ratio
d. Porosity
e. Degree of saturation
f. Volume occupied by water
8. For a given soil, the following are known: Gs = 2.74, moist unit weight = 19.8 kN/m3, and moisture
content = 16.6%. Determine:
a. Dry unit weight
b. Void ratio
c. Porosity
d. Degree of saturation
9. Refer to Problem 7. Determine the weight of water, in kN, to be added per cubic meter (m3) of soil
for
a. 90% degree of saturation
b. 100% degree of saturation
10. The dry density of a soil is 1750 kg/m3. Given that Gs = 2.66, what is the moisture content of the
soil when it is saturated?