Answer to Question #217217 in Civil and Environmental Engineering for Agie

Question #217217

Derive an expression for bulk density of a partially saturated soil in terms of specific gravity of particles (Gs), the void ratio (e), the degree of saturation (Sr), and the density of water.


1
Expert's answer
2021-07-15T02:48:54-0400

"\\gamma = \\frac{Total \\space weight}{Total \\space volume}= \\frac{W}{V}=\\frac{W_s+W_w}{V_s+V_w}\\\\\nS=\\frac{V_w}{V_v}\\\\ \n\n\\gamma=\\frac{e_1V_s \\rho _w +V_v \\rho _w S}{V_s+V_v}\\\\\n\\frac{V_v}{V_s}=e\\\\\n\\gamma=\\frac{e_1+Se}{1+e} \\rho_w"


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