\[ \begin{align}\begin{aligned}\newcommand\blank{~\underline{\hspace{1.2cm}}~}\\% Bold symbols (vectors)
\newcommand\bs[1]{\mathbf{#1}}\\% Poor man's siunitx
\newcommand\unit[1]{\mathrm{#1}}
\newcommand\num[1]{#1}
\newcommand\qty[2]{#1~\unit{#2}}\\\newcommand\per{/}
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% Percent
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% Time
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% Distance
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\newcommand\inch{\unit{in}}
\newcommand\foot{\unit{ft}}
%
% Force
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\newcommand\kip{\unit{kip}} % kilopound in "freedom" units - edit made by Sri
%
% Mass
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\newcommand\grain{\unit{grain}}
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% Temperature
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% Volume
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% Pressure
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\end{aligned}\end{align} \]
Oct 24, 2024 | 233 words | 2 min read
2.2.2. Task 2
Learning Objectives
By the end of this exercise, you will be able to apply the principles of soil
mechanics to calculate vertical stress in different soil types using Terzaghi’s
equation. You will use Excel to determine vertical stress at various depths for
different soil unit weights, demonstrating proficiency in cell referencing, data
organization, and interpretation of results.
Introduction
Karl Terzaghi was a Czechoslovakian geotechnical engineer who lived between 1883
and 1963. He is known today as the grandfather of soil mechanics. One of his
many significant contributions includes the calculation of vertical stress in
soil using the equation
(2.1)\[\sigma = \gamma * h\]
where,
\(\sigma\) is the vertical stress (\(\psf\)),
\(\gamma\) is the soil unit weight (\(\pcf\)), and
\(h\) is the depth below soil surface (\(\foot\)).
On a particular site, engineers find three types of soil:
Soil A: \(\gamma = \qty{115}{\pcf}\)
Soil B: \(\gamma = \qty{124}{\pcf}\)
Soil C: \(\gamma = \qty{140}{\pcf}\)
Task Instructions
Open the answer sheet ex2_team_2_teamnumber.xlsx. Save it with
your team number replacing teamnumber in the file name.
Calculate the vertical stress at \(5\) foot intervals from
\(\qty{5}{\foot}\) to \(\qty{40}{\foot}\) for each of the soil types
listed above.
Copy the following questions into the Output Section of the
spreadsheet and then add your answers.
A stress-measuring device is buried \(\qty{40}{\foot}\) under the
surface. The maximum stress this device can stand is
\(\qty{5,000}{\psf}\). In which type(s) of soil can this device be
buried?
What percentage of stress values calculated for soil C are above
\(\qty{5000}{\psf}\)?
Save the ex2_team_2_teamnumber.xlsx file as
ex2_team_2_values_teamnumber.pdf displaying the values and ex2_team_2_formulas_teamnumber.pdf displaying the formula.
Submit both files to Gradescope.
