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Find: % of sand in soil sieve # mass retained [g] 60% 70% 80% D

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Find: % of sand in soil sieve # mass retained [g] 60% 70% 80% D) 90% Pan % 70% 80% D) 90% we have been provided with the results from a sieve analysis test, where ---
Pan % 70% 80% D) 90% Find the percent of sand in the soil. [pause] In this problem, ---
Pan % 70% 80% D) 90% the sieves are ordered from largest opening to smallest opening.
Pan soil. size range. type. [mm] gravel. sand. fines. > < Assuming cobbles, boulders and larger rocks are not present, ---
Pan soil. size range. type. [mm] gravel. sand. fines. > < We define gravel to be all particles whose smallest diameter is greater than 4.75 millimeters,
Pan soil. size range. type. [mm] gravel. sand. fines. > < sand is defined as particles which range between millimeters and 4.75 millimeters, ---
Pan soil. size range. type. [mm] gravel. sand. fines. > < and fines are all particles smaller than millimeters. Next, we add ---
Mass retained [g] Pan column to show the sizes of each sieve. soil type. size range [mm] gravel. sand. fines. > <
Mass retained [g] Pan all the gravel will collect on the #4 sieve, --- soil type. size range [mm] gravel. sand. fines. > <
Mass retained [g] Pan and all the sand will pass by the #4 sieve, but won’t reach the pan. soil type. size range [mm] gravel. sand. fines. > <
Mass retained [g] Pan In other words, we can draw lines between the sieve sizes --- soil type. size range [mm] gravel. sand. fines. > <
Mass retained [g] gravel Pan sand. and identify which soil types will be retained on each sieve. sand. fines. soil type. size range [mm] gravel. sand. fines. > <
mass. sieve # Size [mm] retained [g] gravel Pan sand. Next, we sum the mass of the soil retained on all sieves, which is 850 grams. sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > <
mass. sieve # Size [mm] retained [g] total. gravel Pan sand. After that, we compute the total mass of soil retained for each of the three soil types and compute their percentages. sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > <
mass. sieve # Size [mm] retained [g] total. gravel Pan sand. For example, out of the 850 gram sample, 145 grams of that sample was gravel. sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > <
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand. On a percentage basis, --- sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > < gravel mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand. 145 grams is divided by 850 grams, and we have --- sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > < gravel mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand. 17.1% gravel, in the sample. sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > < gravel mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand grams of that sample is sand. sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > < gravel mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand This computes to --- sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > < sand mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand % of the entire sample. sand. fines. soil type. size range [mm] 850. gravel. sand. fines. > < sand mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand And lastly, 28 grams of fine grain material results in, --- sand. fines. 28. soil type. size range [mm] 850. gravel. sand. fines. > < sand mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand % of the entire sample. sand fines. 28. soil type. size range [mm] 850. gravel. sand. fines. > < fines mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand Since we’re looking for the percentage of sand in the soil, sand fines. 28. soil type. size range [mm] gravel. sand. fines. > < fines mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand we note that percentage is most nearly 79.6 percent. sand fines. 28. soil type. size range [mm] gravel. sand. fines. > < fines mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand. 60% 70% 80% D) 90% Upon reviewing the possible solutions, sand fines. 28. soil type. size range [mm] gravel. sand. fines. > < fines mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand. 60% 70% 80% D) 90% AnswerC. the answer is C. [pause] This solution can also be determined if only a plot is provided in the problem statement. Let’s see how this data would plot. sand fines. 28. soil type. size range [mm] gravel. sand. fines. > < fines mass retained. =% total mass retained.
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand Grain size distributions plot the. sand fines
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand sieve size on the horizontal axis, on a logarithmic scale, --- sand fines
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand by the cumulative percentage of the mass passing each sieve on the vertical axis, using a linear scale. Which will now calculate. sand fines
mass. sieve # Size [mm] retained [g] total. % gravel Pan sand We first look at the mass retained on each individual sieve, --- sand fines
mass. sieve # Size [mm] retained [g] % gravel Pan sand and calculate the individual percentages --- sand fines
percent. retained. mass. sieve # Size [mm] retained [g] % gravel Pan sand. by dividing by 850 grams. sand. fines
percent. retained. mass. sieve # Size [mm] retained [g] % gravel Pan sand. This last column shows us the percent mass of the soil sample retained on each sieve. Remember we’re trying to determine --- sand. fines
percent. retained. mass. sieve # Size [mm] retained [g] % gravel Pan sand. the cumulative percentage of the soil passing each sieve. So let’s start a new table, and copy over the two columns in red, the size and the percent retained. sand. fines
percent. size [mm] retained. gravel sand. --- sand. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel sand. A cumulative percent retained column is added to sum the percent retained from each sieve, including the percent retained for all larger sieves. sand. fines.
cumulative. percent. percent. size [mm] retained. retained. Σ. gravel sand. For the largest size sieve, the cumulative percent retained equals the percent retained for that sieve alone. sand. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel Σ. sand. But for the #10 sieve, the cumulative percent retained is the 24.3% from the the #10 sieve, plus the 17.1% from the #4 sieve above it. sand. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel sand. Σ. This process continues --- sand. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel sand. Σ. as the cumulative --- sand. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel sand. Σ. percent retained value --- sand. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel sand. approaches 100%. Σ. sand. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel sand. --- sand. Σ. fines.
cumulative. percent. percent. size [mm] retained. retained. gravel sand. Next we add a column --- sand. fines.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. for the cumulative percent of mass passing each sieve. sand. fines.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. Which is simply 100% minus the cumulative percent of mass retained on each sieve. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. For our first sieve, the cumulative percent retained is 17.1%, --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. So the cumulative percent passing is 82.9 percent. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. This calculation is repeated --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. for the remaining sieves. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. We preserve the data we need for the plot, --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. cumulative. percent. percent. percent. size [mm] retained. passing. retained. gravel sand. namely, --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. percent. size [mm] passing. gravel sand. the sieve size, --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. gravel sand. and cumulative percent passing. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. gravel % sand. 80% % passing. 60% 40% The semi-log plot is set and we plot our points for the % sand. 0% fines cumulative. cumulative. size[mm] percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. #4 sieve, sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. the #10 sieve. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. the #20 sieve. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. the #40 sieve. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. the #100 sieve. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. and the #200 sieve. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. A line is drawn to connect the data points. sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. The original questions asks to find the percent of sand in the soil, so we divide the plot into the 3 identified soil types --- sand. fines. cumulative. cumulative. percent =100%- percent. passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. by identifying the boundary between the gravel and sand, at 4.75 millimeters, --- sand. fines. cumulative. cumulative. percent =100%- percent passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. and the boundary between sand and fines, at millimeters. sand. fines cumulative. cumulative. percent =100%- percent passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel sand. Sketching up to the line, and then over to the cumulative percent passing axis, --- sand. fines cumulative. cumulative. percent =100%- percent passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel % (gravel) sand. we identify the gravel is 17.1 % of the entire sample, --- sand. fines cumulative. cumulative. percent =100%- percent passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel % (gravel) sand. 79.6% (sand) sand is 79.6 % of the entire sample, --- sand. fines cumulative. cumulative. percent =100%- percent passing. retained.
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel % (gravel) sand. 79.6% (sand) and fines is 3.3% of the entire sample. sand. fines cumulative. cumulative. percent =100%- percent passing. retained. 3.3% (fines)
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel % (gravel) sand. 60% 70% 80% D) 90% 79.6% (sand) Returning to the possible solutions, --- sand. fines cumulative. cumulative. percent =100%- percent passing. retained. 3.3% (fines)
cumulative. size [mm] % passing. size[mm] % passing. 0% 20% 40% 60% 80% 100% gravel % (gravel) sand. 60% 70% 80% D) 90% 79.6% (sand) the answer is C. sand. fines cumulative. cumulative. percent =100%- percent passing. retained. 3.3% (fines)
Find: σ’v ρc d = 30 feet. (1+wc)*γw. wc+(1/SG) σ’v = Σ φ γ Δ d ˚ d. Sand. 10 ft. γT=100 [lb/ft3] 100 [lb/ft3] φ=α1-α2. 10 [ft] 20 ft. Clay. = γsand dsand. +γclay dclay. A. W. S. V [ft3] W [lb] 40 ft. text. wc = 37% Δh. 20 [ft] τ [lb/ft2] (5 [cm])2 * π/4. ( ) H*C σfinal. ρcn= 1+e σinitial. log. ‘ φ. size[mm] % passing. 0% 20% 40% 60% 80% 100% c= ,400. σ3. Sand. σ1.