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�o�.•n, the dry den- <br />be computcd as <br />I�y 1.6a <br />100 <br />ction of soils it is <br />:pute the dry unit <br />iined i[ the volume <br />ecreased by exclu- <br />egree oEsaturatio� <br />: l00 per cent. This <br />; =ao air roidr. The <br />ir voids, <br />- V. IJ <br />ncom•enient to de- <br />irecdy from meas- <br />ight and total vol- <br />�ly determined in- <br />based on a knowl- <br />tht rolid cont(ifuenlr <br />oed as <br />tituenu, <br />'. 1.8 <br />eal with the rprcific <br />alr G, defin�d as <br />onstituenu, <br />�„ 1.9 <br />LLCR�6� <br />.87 <br />.94 <br />.o-3.1 <br />.2-3.4 <br />.2-3.5 <br />.8 <br />.3t <br />.17 <br />.2 <br />`lht h'an- <br />3ull. 848, <br />Iling the <br />fPright• Vo6�mc Rr(ationshipn of Soil .A�rega�e <br />Table 1.4 Porosih•� Void Ratio, and Unit \{'cig6t of T��pical Soils in Natural Statc <br />I. <br />2. <br />3. <br />4. <br />5. <br />6. <br />7. <br />8. <br />9. <br />10. <br />I1. <br />Description <br />Uniform sand, loou <br />Uniform sand, dense <br />Mired•grained sand,looso <br />bfirad-grained sand, dense <br />Windbloa•n silt (Ioes�) <br />Glacial till, very mi�ed•grained <br />SoR glacial clay <br />StiR glacial clay <br />Soh �lightly organic clay <br />Soft very organic clay <br />Soft montmorillonitic clay <br />(calcium bentonite) <br />Void �Vamr <br />Porosit� Ratio Contont <br />in) ��) �+�)' <br />Unit �Veight <br />g/cu cm Ib/cu fc <br />Ydb Yui Y� Y�•� <br />0.�46 0.85 32 1.43 1.89 90 118 <br />0.34 0.51 19 1.75 2.09 109 130 <br />0.40 0.67 25 1.5� 1.99 99 124 <br />0.30 0.43 16 1.86 2.16 116 135 <br />0.50 0.99 21 1.36 l.86 85 116 <br />0.20 O.YS 9 2.I2 2.32 132 14i <br />0.55 1.2 45 1.22 1.77 76 110 <br />0.3) 0.6 22 I.iO 2.07 106 I29 <br />0.66 1.9 i0 0:93 1.58 58 98 <br />0.75 3.0 I10 0.68 1.43 43 89 <br />0.84 5.2 194 0.43 1.27 27 80 <br />• m= Nater wntent when saturated, in per cent of dry �reight. <br />° y� � dry unit �reight. <br />`y„� � saturated unit N•eight. <br />wharc y„ is the unit weight of �vater, taken <br />as 1 g/cu cm in the metric s}�stem or 62.5 <br />16/cu ft in the English system. The value of <br />y, or C may be dctermined by test in the <br />laboratory, but it can usually be estimated <br />Nith sufficient accuracy. For routine com- <br />putations, the value ot G for sands may be <br />taken as 2.65. Tesu on a large number of <br />clay soils have indicated that the value of G <br />usually (alls in che range from 2.5 to 2.9 with <br />an acerage value ot about 2.7. <br />Table 1.3 gives the specific gra�•ity oC the <br />most impartant soil constituents. It may be <br />ot assistance in estimating the calue of G for <br />a soil of known mineral composition. <br />Typical values of porosity, �•oid ratio, and <br />unit weight oC various soils are listed in <br />Table 1.4. <br />Denrity of Soil Aggrrgale. Thc behavior of any <br />soil is inftu�nced to a considerablc extcnt by <br />its rclati�•e looseness or dcnsencss. In this rc- <br />spect, ho�.•e�•eq a distinciion is neccssary be- <br />tween coarse-grained cohesionless soils and <br />cohesi�•� matcrials. In a mass o! coarsc- <br />grained soil most of thc gnins couch sc�•crel <br />athcrs in poinbto-point contact and cflbrts <br />13 <br />[o d�nsify the mass can reduce the �•oid <br />ra[io only through rearrengement or trush- <br />ing of the particles. On the other hand, the <br />densifitation of fine-grained soil, espccially <br />clay, depends on other factors such as co- <br />hesion and the presence of water films on <br />the particle surfates. <br />The �•oid ratio or porosity oE any soil <br />usually does not in itself furnish a direct in- <br />dication ot iu behavior under load or during <br />exca�•ation. Of two coarse-grained soils at <br />the same ��oid ratio, one soil may be in a <br />dense state whereas the other may be loose. <br />Thus, thc relative dansiry of a toarse- <br />grained matcrial is much more significant <br />than the �•oid retio alone. The relati�•e den- <br />sity can bc c�presscd numerically by che <br />drnrily rndrx, le, defined as <br />�mnx - � <br />Dcnsity index, !a = 1.10 <br />�max -�min <br />in ���hich em,x is the ��oid ratio o( the soil in <br />its looscst statc, r is the actual coid ratio, and <br />r,,,i„ is thc ��oid ratio in the dcnsest possible <br />state. Hcncc, la = I.0 for a ccry dense seil <br />and 0 for a vcry loose soil. <br />