Farmingdale State College State University of New York PROJECT SHEET NO. OF CALCULATED BY CHECKED BY SCALE DATE DATE BASIC U.S. TO METRIC CONVERSIONS Conversion factors-United States customary to SI in. cm ft in.2 To convert from m m m mm² m² To Multiply by 0.025 400 1.000 000 × 10-2 0.304 800 645.160 000 1.000 000 × 10-4 0.092 903 16.387 064 × 10-6 1 kip = 1,000 lbs * "kilo-pound I ton = 2 kips 2,000 lbs cm² ft² in³ cm³ 1.000 000 x 10-6 ft³ m³ 28.316 847 x 10-3 quart (U.S. liquid) liter (1000 cm³) 0.946 353 gallon (U.S. liquid) m³ 3.785 412 x 10-3 Litre L m³ in.4 cm4 cm4 m4 ft4 m4 gram dyne 1.000 000 x 10-3 41.623 143 1.000 000 × 10-8 8.630975 X 10-3 980.665 000 kg (force or mass) N 9.806 650 lb (mass) kg (mass) 0.453 592 kips (1000 lbs) kN 4.448222 kip/ft kN/m 14.593 898 lb/ft kg/m 1.488 164 kg/m² N/m² (pascal) 9.806 650 kg/cm² kN/m² (kPa) 98.066 500 kip/ft² kN/m² 47.880 260 lb/in.² (psi) kN/m² 6.894 757 lb. in. (torque) N.m lb.ft N.m 0.112985 1.355 818 kip - ft kN 1 .m 1.355 818 lb ft (energy of work) joule 1.355 818 . cal g (International value) joule 4.186 800 lb/ft³ kg/m³ kip/ft³ kN/m³ 16.018 460 157.087 477 g/cm³ lb/ft³ 62.427 900 g/cm³ kN/m³ 9.806 650 N/mm² MN/m² = MPa 1.000 000 SOURCE: BOWLES, J. FOUNDATION ANALYSIS & DESIGN. 5th ED. NEW YORK: MCGRAW HILL, 1996./n Farmingdale State College State University of New York SOILS, FOUNDATIONS & EARTH STRUCTURES CIV302/CON302 Homework No. 1: Chapters 2 through 4 2-1. Draw a gradation curve and find the median size, effective size, and coefficients of uniformity and of curvature for a soil sample that has the following test data for mechanical grain-size analysis: U.S. Sieve Size Size Opening (mm) Mass Retained (g) 3/8 in. 9.50 0 No. 4 4.75 42 No. 10 2.00 146 No. 40 0.425 458 No. 100 0.150 218 No. 200 0.075 73 Pan 63 2-5. A soil specimen has a water content of 18% and a wet unit weight of 118.5 lb/ft³. The specific gravity of sol- ids is found to be 2.72. Find the dry unit weight, void ratio, and degree of saturation. 2-7. A 100% saturated soil has a wet unit weight of 112.8 lb/ft³, and its water content is 42%. Find the void ratio and specific gravity of solids. Page 1 of 3 Farmingdale State College State University of New York 2-22. A soil sample has the following properties: 1. Cmax = 0.95. 2. emin = 0.38. 3. Dr = 47%. 4. Gs = 2.65. Find dry and saturated unit weights in both lb/ft³ and kN/m³. 3-1. A standard penetration test (SPT) was performed at a depth of 10 ft in sand of unit weight 120 lb/ft³. The N-value was found to be 26. Determine the corrected N-value by the two methods presented in this chapter. 4-2. A soil sample was taken from the site of a proposed borrow pit and sent to the laboratory for a Standard Proctor test (ASTM D 698). Results of the test are as follows: Determination Number 1 2 3 4 5 Dry unit weight (lb/ft³) 107.0 109.8 112.0 111.6 107.3 Moisture content (%) 9.1 11.8 14.0 16.5 18.9 Plot a moisture content versus dry unit weight curve and determine the soil's maximum dry unit weight and optimum moisture content. Page 2 of 3 Farmingdale State College State University of New York 4-4. A laboratory compaction test was performed on a soil sample taken from a proposed cut area. The maximum dry unit weight and optimum moisture content were determined to be 104.8 lb/ft³ and 20.7%, respectively. Estimate the possible type (or classification) of soil for this sample. 4-6. A soil sample was taken from a proposed cut area in a highway construction project and sent to a soils labora- tory for a compaction test, using the Standard Proctor compaction procedure. Results of the test are as follows: Maximum dry unit weight = 112.6 lb/ft³ Optimum moisture content - = 15.5% The contractor, during construction of the soil em- bankment, achieved the following: Dry unit weight reached by field compaction Actual water content = 107.1 lb/ft³ 16.0% Determine the percent compaction achieved by the contractor. Page 3 of 3