CL137 Paper B: Soil Mechanics Answer Book Student Number 202132268 Answers to Q.1 BS sieve size % retained % passing 3.35 mm 0 100 2.0 mm 0.9 99.1 1.18 mm 2.8 96.3 600 m 8.1 88.2 425 m 13.4 74.8 300 m 24.7 50.1 212 m 24.9 25.2 150 m 18.0 7.2 63 m 6.9 0.3 <63 m - 0.3 Worksheet Q.1(a). Particle Size Test Data CL137 Worksheets Page 1 of 11 Worksheet Q.1(b). Particle size distribution chart CL137 Worksheets Page 2 of 11 Answers to Q.1 Write Calculations and Answer Below Q.1(b) Coefficient of Uniformity, Cu =0.41/0.2 = 2.05 Q.1(b) Coefficient of Curvature, Cz = 0.3^2/0.2*0.41= 1.1 Q.1(b) Classification of Soil 99.1% sand, 0.9% gravel. This soil classifies as slightly gravely sand. SSG Worksheet Q.1(c). Soil Classification Q2 a) Q2 b) CL137 Based on the assumption that large, heavy particles settle more quickly in water, determine the relative proportions of sand, silt, and clay in a soil sample. Fill the jar halfway with soil sample. 1 and a half cups distilled water are then added. Cover the container and shake vigorously. measure the depth of the settled soil after a period. Shake the jar again well, the record the depth of sand at the top. Do the same again and measure for silt depth and repat again and measure for clay depth. Once all Worksheets Page 3 of 11 the results have been recorded a grading curve can be plotted Q2 c) (i) (ii) (iii) (iv) CL137 W = m-ms = 1876-1524/1524 = 23% =mg/v =(1.876 *9.810)/0.001 = 18.4Knm3 e = (V-Vs)/Vs = 0.001 – 0.000569/0.000569 = 0.76 Vs = ms/ GsPw = 1.524/2.68*1000 = 5.69*10-4m3 Sr = wGS/e = 0.23*2.68/0.75 = 81% Worksheets Page 4 of 11 Answers to Q.3 Test No. Mass of soil (g) Water content (%) Bulk density, (kg/m3) 1 1872 6.5 1872 2 1966 8.7 1966 3 2043 10.6 2043 4 2068 12.2 2068 5 1996 14.4 1996 Dry density, d (kg/m3) 1758 1809 1847 1843 1745 Write Calculations Below Q.3(ii) Bulk density & dry density (kg/m3) 1) P= 1.872/ 1000x 10-6 = 1872 Kg/m3 Pd = 1872/ 1 +0.065 = 1758 Kg/m3 2) P = 1.966/ 1000x 10-6 = 1966 Kg/m3 Pd = 1966/ 1 + 0.087 = 1809 Kg/m3 3) P = 2.043/ 1000x 10-6 = 2043 Kg/m3 Pd = 2043/ 1 + 1.06 = 1847 Kg/m3 4) P = 2.068/ 1000x 10-6 = 2068 Kg/m3 Pd = 2068/ 1 + 1.22 = 1843 Kg/m3 5) P = 1.996/ 1000x 10-6 = 1996 Kg/m3 Pd = 1996/ 1 +1.44 = 1745 Kg/m3 CL137 Worksheets Page 5 of 11 Worksheet Q.3. Calculations & Answers CL137 Worksheets Page 6 of 11 Water Content (%)_ 1900 1890 1880 1870 1860 Dry Density (Kg/m3) 1850 1840 1830 1820 1810 1800 1790 1780 1770 1760 1750 1740 6 8 10 00 12 14 16 18 Water Content(%) CL137 Worksheets Page 7 of 11 Q4 a) Q4 b) CL137 Worksheets Page 8 of 11 Answers to Q.3 Write Calculations and Answers Below Q.3(a) Optimum water content (%) and maximum dry density (kg/m 3) Wopt = 11% Max Dry density =1848 Kg/m3 Q.3(b) 0% air voids calculations 1847 = (2.6(1-Ar)/1+0.11*2.6) *1000 Ar = 8.64% CL137 Worksheets Page 9 of 11 Worksheet Q.3. Calculations & Answers Answers to Q.4 use your main document CL137 Worksheets Page 10 of 11 CL137 Worksheets Page 11 of 11