PROBLEM #1: A silty sand was tested in the laboratory and found to have a max. and min, void ratios of 0.86 and 0.30 respectively. If the relative density of the soil is 54%, a. What is the in situ- void ratio of the soil sample? b. What is the porosity of the soil sample? c. If the dry unit weight of the silty sand is 16.85 kN/m, compute the specific gravity of the sand.
PROBLEM #1: A silty sand was tested in the laboratory and found to have a max. and min, void ratios of 0.86 and 0.30 respectively. If the relative density of the soil is 54%, a. What is the in situ- void ratio of the soil sample? b. What is the porosity of the soil sample? c. If the dry unit weight of the silty sand is 16.85 kN/m, compute the specific gravity of the sand.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Help me with the following question in PROBLEM 1, show the solution step by step and finalize your final answer by a 4 significant figure. and Box the final answer with the unit don't forget WRITE IT ON A CLEAN PAPER WITH ALL THE SOLUTION. Thank you for helping me.
Reminders: I attach an example problem as a guide only.. (2nd photo)
Transcribed Image Text:EXAMPLE #1:
A sandy soil has a natural water content of 27.5% and bulk unit weight of 19.2 kN/m³. The void ratios
corresponding to the densest and loosest state are 0.51 and 0.87. Assume G = 2.7.
a. What is the in situ- void ratio of the soil sample?
b. What is the degree of saturation of the soil in its natural state?
c. What is the relative density of the soil, in percent?
Given: MC = 27. 5%
min = 0.51
G = 2.7
Ym - 19.2 kN /m?
emas = 0.87
1. Void ratio, e
2. Degree of Saturation, S
3. Relative density, D,
G(1 + MC)
Yw
G + Se
Ym =
max e
Ym =
D,
x 100
1+e
1+e Yw
emex-enin
0.87 - 0.7589
D, =
2.7(1 + 27.5%)
2.7 +S (0.7589)
19.2 =
(9.81)
19.2 =
(9.81)
x 100
1+e
1+0.7589
0.87 – 0.51
e-0.7589
S= 0.9784
D, = 30. 8605%
Transcribed Image Text:PROBLEM #1:
A silty sand was tested in the laboratory and found to have a max. and min, void ratios of
0.86 and 0.30 respectively. If the relative density of the soil is 54%,
a. What is the in situ- void ratio of the soil sample?
b. What is the porosity of the soil sample?
c. If the dry unit weight of the silty sand is 16.85 kN/m2, compute the specific gravity of the
sand.
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