Calculate the coefficient of gradation, Cc. ?Classify the soil by AASHTO and USCS system. (LL = 30, PL = 10) ? Use this given M=Mass of soil retained in pan +∑Mass reatianed in each sieve⇒M=617 gM=Mass of soil retained in pan +∑Mass reatianed in each sieve⇒M=617 gSieve No.Opening Size (mm)Mass retained (g)%Mass retained=MiM×100=MiM×100%Cumulative mass retained% Finer44.75028=28617×100%=4.54%=28617×100%=4.54%4.5495.46102.042=42617×100%=6.81%=42617×100%=6.81%11.3588.65200.85048=48617×100%=7.78%=48617×100%=7.78%19.1380.87400.425128=128617×100%=20.74%=128617×100%=20.74%39.8760.13600.250221=221617×100%=35.82%=221617×100%=35.82%75.6924.311000.15086=86617×100%=13.94%=86617×100%=13.94%89.6310.372000.07540=40617×100%=6.48%=40617×100%=6.48%96.113.89Pan 24=24617×100%=3.89%=24617×100%=3.89%1000 Now, to plot the GSD curve, the % finer is kept on the vertical axis and the opening size are kept on the horizontal axis - using a logarithmic scale, which will give something like: D10, D30 and D60D10: Sieve Opening corresponding to which percent finer is 10D30: Sieve opening corresponding to which percent finer is 30D60: Sieve opening corresponding to which percent finer is 60. From the figure above,D10 = 0.150 mmD30 = 0.275 mmD60 = 0.425 mm Uniformity coefficientThe uniformity coefficient, Cu is given by:Cu=D60D10⇒Cu=0.4250.15⇒Cu=2.8 0.010.110SIEVE OPENING (MM)

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Answered: Calculate the coefficient of gradation,…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Calculate the coefficient of gradation, Cc. ?
Classify the soil by AASHTO and USCS system. (LL = 30, PL = 10) ?

Use this given

M=Mass of soil retained in pan +∑Mass reatianed in each sieve⇒M=617 gM=Mass of soil retained in pan +∑Mass reatianed in each sieve⇒M=617 g

Sieve No.	Opening Size (mm)	Mass retained (g)	%Mass retained=MiM×100=MiM×100	%Cumulative mass retained	% Finer
4	4.750	28	=28617×100%=4.54%=28617×100%=4.54%	4.54	95.46
10	2.0	42	=42617×100%=6.81%=42617×100%=6.81%	11.35	88.65
20	0.850	48	=48617×100%=7.78%=48617×100%=7.78%	19.13	80.87
40	0.425	128	=128617×100%=20.74%=128617×100%=20.74%	39.87	60.13
60	0.250	221	=221617×100%=35.82%=221617×100%=35.82%	75.69	24.31
100	0.150	86	=86617×100%=13.94%=86617×100%=13.94%	89.63	10.37
200	0.075	40	=40617×100%=6.48%=40617×100%=6.48%	96.11	3.89
Pan		24	=24617×100%=3.89%=24617×100%=3.89%	100	0

Now, to plot the GSD curve, the % finer is kept on the vertical axis and the opening size are kept on the horizontal axis - using a logarithmic scale, which will give something like:

D10, D30 and D60

D10: Sieve Opening corresponding to which percent finer is 10

D30: Sieve opening corresponding to which percent finer is 30

D60: Sieve opening corresponding to which percent finer is 60.

From the figure above,

D10 = 0.150 mm

D30 = 0.275 mm

D60 = 0.425 mm

Uniformity coefficient

The uniformity coefficient, C_u is given by:

Cu=D60D10⇒Cu=0.4250.15⇒Cu=2.8