Civil and Environmental Engineering 4426A/B Lecture Notes - Lecture 6: Bulk Modulus, Shear Modulus, Cylinder Stress
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Voids ratio, e = volume of voids (vv)/volume of solids (vs). Degree of saturation, sr = volume of water (vw)/volume of voids (vv). Moisture content, w = mass of water (mw)/mass of solids (ms). Specific gravity, gs = ms/(vs w) where w is the density of water. Link between moisture content and voids ratio: s e w g. Density of water, w = 1000 kg/m3 ( 1 g/cm3 ). The unit weight of water, w = w g . The particles will have density, s = gs w and unit weight, s = s g = gs w g = gs. The density of a dry sample of soil, s r. Relative density, d r = e e max e max e min. One-dimensional compression (vertical stress v", vertical strain, v) Unconfined axial compression (axial stress, ", axial strain, a, radial strain, r): Shear modulus g = d /d e eo es.