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1- For a given soil, show that (1+wsat (Gstes)Yw a- Ysat = n b- y = %3D 1+e Wsat

1- For a given soil, show that (1+wsat (Gstes)Yw a- Ysat = n b- y = %3D 1+e Wsat

Structural Analysis
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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Homework 1- For a given soil, show that (1+wsat (Gs+es)Yw a- Ysat b- y = = n 1+e Wsat 2- The moist unit weight of a soil is 19.2 kN/m³. Given that G. = 2.69 and w=9.8%, determine: a. Void ratio b. Dry unit weight c. Degree of saturation Ans: e=0.51 , Ya=17.48KN/m³ , s=51.7% 3- Refer to Problem 2. Determine the weight of water, in kN. to be added per cubic meter (m°) of soil for a. 90% degree of saturation b. 100% degree of saturation Ans: Water add= 1.25 kN/m³ , 1.58 kN/m³ 4- For a given soil, the following are known: G, = 2.74, moist unit weight, y = 20.6kN/m², and moisture content, w = 16.6%. Determine: a. Dry unit weight b. Void ratio c. Porosity d. Degree of saturation Ans: Ya = 17.67 kN/m³ e=0.51 5- It is known that the natural soil at a construction site has a void ratio of 0.92. At the end of compaction, the in-place void ratio was found to be 0.65. If the moisture content remains unchanged, then determine: a. Percent decrease in the total volume of the soil due to compaction b. Percent increase in the field unit weight c. Percent change in the degree of saturation A 2-m-high sandy fill material was placed loosely at a relative density of 47%. Ans: a- 14% decrease 6- (5 kg) of soil is at natural water content of 3%. How much water would you add to the above soil to bring the water content to 12%? Ans: Added water = 0.437 kg 7- A sandy soil consists of perfectly spherical grains of the same diameter. At the loosest possible packing, the particles are stacked directly above each other. Show that the void ratio is 0.910. 8- A contractor needs 300 ml of aggregate base for a highway construction project. It will be compacted to a dry unit weight of 19.8 kN/m³. This material is available in a stockpile at a local material supply yard at a water content of 7% but is sold by the metric ton and not by cubic n=0.34 S=87.4% b-16.3% increase C-41.5% increase meters. a. How many tons of aggregate should the contractor purchase? b. A few weeks later, an intense rainstorm increased the water content of the stockpile to 15%. If the contractor orders the same quantity for an identical section of the highway, how many cubic meters of compacted aggregate base will he produce? Answer: a- 648 t b-279.2 m3 9- The bulk unit weight and water content of a soil at a borrow pit are 17.2 kN/ml and 8.2% respectively. A highway fill is being constructed using the soil from this borrow at a dry unit weight of 18.05 kN/m³ • Find the volume of the borrow pit that would make one cubic meter of the finished highway fill. Answer: 1.136 m3
Transcribed Image Text:Homework 1- For a given soil, show that (1+wsat (Gs+es)Yw a- Ysat b- y = = n 1+e Wsat 2- The moist unit weight of a soil is 19.2 kN/m³. Given that G. = 2.69 and w=9.8%, determine: a. Void ratio b. Dry unit weight c. Degree of saturation Ans: e=0.51 , Ya=17.48KN/m³ , s=51.7% 3- Refer to Problem 2. Determine the weight of water, in kN. to be added per cubic meter (m°) of soil for a. 90% degree of saturation b. 100% degree of saturation Ans: Water add= 1.25 kN/m³ , 1.58 kN/m³ 4- For a given soil, the following are known: G, = 2.74, moist unit weight, y = 20.6kN/m², and moisture content, w = 16.6%. Determine: a. Dry unit weight b. Void ratio c. Porosity d. Degree of saturation Ans: Ya = 17.67 kN/m³ e=0.51 5- It is known that the natural soil at a construction site has a void ratio of 0.92. At the end of compaction, the in-place void ratio was found to be 0.65. If the moisture content remains unchanged, then determine: a. Percent decrease in the total volume of the soil due to compaction b. Percent increase in the field unit weight c. Percent change in the degree of saturation A 2-m-high sandy fill material was placed loosely at a relative density of 47%. Ans: a- 14% decrease 6- (5 kg) of soil is at natural water content of 3%. How much water would you add to the above soil to bring the water content to 12%? Ans: Added water = 0.437 kg 7- A sandy soil consists of perfectly spherical grains of the same diameter. At the loosest possible packing, the particles are stacked directly above each other. Show that the void ratio is 0.910. 8- A contractor needs 300 ml of aggregate base for a highway construction project. It will be compacted to a dry unit weight of 19.8 kN/m³. This material is available in a stockpile at a local material supply yard at a water content of 7% but is sold by the metric ton and not by cubic n=0.34 S=87.4% b-16.3% increase C-41.5% increase meters. a. How many tons of aggregate should the contractor purchase? b. A few weeks later, an intense rainstorm increased the water content of the stockpile to 15%. If the contractor orders the same quantity for an identical section of the highway, how many cubic meters of compacted aggregate base will he produce? Answer: a- 648 t b-279.2 m3 9- The bulk unit weight and water content of a soil at a borrow pit are 17.2 kN/ml and 8.2% respectively. A highway fill is being constructed using the soil from this borrow at a dry unit weight of 18.05 kN/m³ • Find the volume of the borrow pit that would make one cubic meter of the finished highway fill. Answer: 1.136 m3
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