Chapter 2, Problem 4P BRAJA [PDF]

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Principles of Foundation Engineering, SI Edition (8 See this solution in the app



Problem



A saturated soil specimen has w =36% and γd = 13.43 kN/m3. Determine: a. Void ratio b. Porosity c. Specific gravity of soil solids d. Saturated unit weight (in lb/ft3)



Step-by-step solution



Step 1 of 6 (a) Calculate void ratio by using the for dry unit weight equation. …… (1) Here,



is the unit weight of water, e is the void ratio and



is the specific gravity of soil



solids. Represent the formula for specific gravity of soil solids, for a saturated soil.



Here, w is the moisture content.



Comment



Step 2 of 6



Substitute



for



in equation (1).



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Comment



Step 3 of 6 Substitute



for



,



for w, and



Therefore, the obtained value of void ratio is



for



.



.



The denser the soil, the less is the void ratio.



Comment



Step 4 of 6 (b) Calculate the porosity of the soil by using the equation.



Substitute 0.97 for e.



Therefore, the porosity of the soil is



.



The higher the void ratio the more will be the porosity, although the relationship is not linear.



Comment



Step 5 of 6 (c) Calculate the specific gravity of soil solids by using the equation.



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Substitute 0.97 for e, and



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for w in equation Bookmark



Chapter 2, Problem 4P



Therefore, the specific gravity for this soil is



.



The specific gravity of most soils is commonly in the range of 2.55 to 2.75.



Comment



Step 6 of 6 (d) Calculate the saturated unit weight of the soil by using the equation.



Substitute 0.97 for e, 2.69 for



, and



for



.



Therefore, the saturated unit weight of the soil is



.



Compared to the dry unit weight and bulk unit weight, the saturated unit weight for any soil is the highest.



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Chapter 4, Problem 6P



A continuous foundation is to be constructed near a slope made of granular soil (see Figure 1). If B = 1.22 m, b = 1.83 m, H =...



For a square foundation that is B × B in plan, Df = 2 m; vertical gross allowable load, Qall = 3330 kN, γ = 16.5 kN/m3; ϕ =...



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Chapter 2, Problem 4P



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