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Volume of soil V = Vs (soil solids) + Vu (voids) = Vs + Vw (water) + Va (air) void ratio &L tt e Vu Vs. (water-1 cm³ = 1000. kg m³ Yw = 981 IN m 3 porosity 孔倞率 e n = = Ite ·Vv. V 飽和度 •degree of saturation Elis S Uw Vj Weight of soil ·EZ Zv Vw = Vv S=1 W = Ws + Ww moisture content K / W Ww Ws = unit weight r= e.g = 9.81 e (water 11000 th ( !+W) Gs rw r = rd (H+w) = Ite Yw = 981 IN specific gravity 1 tc ₤ 土壤比重 Se = w G₂ G₁ = r² = 2.65 rw
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Y moist unit weight 孔倞) rd dry (LT) (有算子 ir sat saturated r₁ S soilds (沒算孔隙) Ex. 3.1 show that sat (I+w) Gsxw r = Ite I+ Wsat) Gs rw. I+CGs Se = w Gs k z qb » S = 1 » e = w G₂ r sot. 1+w -) It was! GsTw
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Atterborg limits Stress KN .2.5 m² →Strain Solid + Semisolid Plassic | Liquid Shrinkage limit Plastic limit Liquid limit. moisture Content (CL) linch (SL). (PL) 土壤維持 飽和搓到3.2mm (gin) ①做4次 ②取回歸 孔隙大小不會再變 時斷掉 ③ 找敲25下的w Flow curve & Flow index. W = - IF log N soil mechanics_hw3 IF flow index (177) : N : number of blows 敲擊次數(代25下) 40 15. 39.5 ● 39 moisture content (%) 038 21, 37.9 37 25, 37.085. 29, 36.4 36 35 34 33 32 31 30 10 number of blows (log scale) 38, 35.1e
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Plasticity index Shrinkage Limit Vi Vf PILL-PL SL M₁-Mz W W₁ = Mz (cm³) >> W PL LL W; M:濕土重(g) M2:乾土重(g) (V; - Vf) ~SL 67 ok Mz SL = W₁-ow = ( M-Mz M² Shrinkage Ratio SR (V₁-Up) (w) 100% Mz Vf Pw ∙Gs= SL Sk 100 Mz
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AASH TO classification system 中文 1 Size Sieve 礫石 Gravel 75 ~2mm - No. 10 沙 Sand 2~ 2~0.075mm ~ No. 200 粉土 Silt 0.075~0.002 mm 黏土 Clay 20.002mm P1211 Table 5.1 Classification of Highway Subgrade Materials General classification Granular materials (35% or less of total sample passing No. 200) A-1 G1=0 A-2 Group classification A-1-a A-1-b A-3 A-2-4 A-2-5 A-2-6 A-2-7 Sieve analysis (percentage passing) 從左開始查表 No. 10 50 max. No. 40 30 max. 50 max 51 min. No. 200 15 max. 25 max. 10 max. 35 max. 35 max. 35 max. 35 max. Characteristics of fraction passing No. 40 Liquid limit 40 max. 41 min. 40 max. 41 min. Plasticity index constituent materials Usual types of significant 6 max. Stone fragments, gravel, and sand NP Fine 10 max. 10 max. 11 min. 11 min. sand General subgrade rating General classification Silty or clayey gravel and sand Excellent to good Silt-clay materials (more than 35% of total sample passing No. 200) Group classification A-4 A-5 A-6 A-7 A-7-5° A-7-6b Sieve analysis (percentage passing) No. 10 No. 40 No. 200 Characteristics of fraction passing No. 40 Liquid limit Plasticity index Usual types of significant constituent materials General subgrade rating "For A-7-5, PILL - 30 For A-7-6, PI> LL-30 36 min. 36 min. 36 min. 36 min. 40 max. 41 min. 40 max. 10 max. 10 max. 11 min. Silty soils 41 min. Clayey soils 11 min. Fair to poor
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group index (G1) GI↑ 工程性質↓ GI = (F20035)[0.2 +0.005(LL - 40)] + 0.01(F200 - 15)(PI - 10) where F200 percentage passing through the No. 200 sieve LL = liquid limit PI plasticity index Plasticity index 70 60 50 40 黏土 A-2-6 A-7-6 ↑ 粉土 30 A-6 20 A-2-7 A-7-5 10 A-2-4 A-2-5 A-4 A-5 0 T T T 0 10 20 30 40 50 60 70 80 90 100 Liquid limit Cengage Learning 2014
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Unified soil classification system symbol G Gravel S Sand M Silt C Clay 3 P L Well graded poor graded Tow plasticity I Pass No. 200 coarse No. 4 <50% <50% coarse No. 4 >50% Nozoo 250% GW: Cu > 4, 1 ≤ Cc ≤ 3 Cu > b, 1 ≤ Cc = 3. Sw 11250 CL: PI>1 ML: P7<4 high plasticity LL 750 Cu 0 = C c = organic 060 D10 (D30)² Dbox Dio P1-LL-PL Plastic chart Plasticity index 60- 50 0 40 30 20 10 0 壓縮性 U-line PI 0.9(LL - 8) A-line PI = 0.73(LL - 20) CH or OH CL or OL CL-ML ML or OL T T 10 16 20 30 40 50 8- 60 -R 70 Liquid limit MH or OH 8-8 8- 80 90 100 Cengage Learning 2014
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Table 5.2 Unified Soil Classification System (Based on Material Passing 76.2-mm Sieve) Criteria for assigning group symbols Coarse-grained soils More than 50% retained on No. 200 sieve Fine-grained soils 50% or more passes No. 200 sieve % No. 4 No.200 Gravels More than 50% of coarse fraction retained on No.4 sieve Sands 50% or more of coarse fraction passes No. 4 sieve Clean Gravels Less than 5% fines Gravels with Fines More than 12% fines Clean Sands Less than 5% fines Sands with Fines More than 12% fines C≥4 and 1 ≤ C ≤3 C<4 and/or C <1 or C > 3 PI<4 or plots below "A" line (Figure 5.3) PI>7 and plots on or above "A" line (Figure 5.3) C≥6 and 1 ≤ C ≤3 C<6 and/or C <1 or C > 3 PI<4 or plots below "A" line (Figure 5.3) PI > 7 and plots on or above "A" line (Figure 5.3) PI>7 and plots on or above "A" line (Figure 5.3) PI<4 or plots below "A" line (Figure 5.3) < 0.75; see Figure 5.3; OL zone Group symbol GW GP GM GC SW SP SM SC CL ML OL Silts and clays Inorganic Liquid limit less than 50 Organic Silts and clays Liquid limit 50 or more Inorganic Organic Highly organic soils Liquid limit-oven dried Liquid limit--not dried PI plots on or above "A" line (Figure 5.3) PI plots below "A" line (Figure 5.3) Liquid limit-oven dried Liquid limit--not dried Primarily organic matter, dark in color, and organic odor CH MH < 0.75; see Figure 5.3; OH zone OH Pt "Gravels with 5 to 12% fine require dual symbols: GW-GM, GW-GC, GP-GM, GP-GC. "Sands with 5 to 12% fines require dual symbols: SW-SM, SW-SC, SP-SM, SP-SC. D *C₁ = C (D.) DX D₁ "If 4 PI≤7 and plots in the hatched area in Figure 5.3, use dual symbol GC-GM or SC-SM. If 4 ≤ PI ≤7 and plots in the hatched area in Figure 5.3, use dual symbol CL-ML.
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Group symbol GW GP <15% sand ≥15% sand <15% sand ≥15% sand GW-GM → <15% sand ≥15% sand GW-GC <15% sand ≥15% sand GP-GM <15% sand GP-GC ≥15% sand <15% sand ≥15% sand GM GC → <15% sand Group name Well-graded gravel Well-graded gravel with sand Poorly graded gravel Poorly graded gravel with sand Well-graded gravel with silt Well-graded gravel with silt and sand Well-graded gravel with clay (or silty clay) Well-graded gravel with clay and sand (or silty clay and sand) Poorly graded gravel with silt Poorly graded gravel with silt and sand Poorly graded gravel with clay (or silty clay) Poorly graded gravel with clay and sand (or silty clay and sand) Silty gravel Silty gravel with sand Clayey gravel Clayey gravel with sand ≥15% sand <15% sand ≥15% sand GC-GM <15% sand Silty clayey gravel ≥15% sand <15% gravel SW ≥15% gravel Silty clayey gravel with sand Well-graded sand Well-graded sand with gravel Poorly graded sand SP <15% gravel 差在哪? 2 ≥15% gravel Poorly graded sand with gravel SW-SM <15% gravel ≥15% gravel SW-SC <15% gravel ≥15% gravel Well-graded sand with silt Well-graded sand with silt and gravel Well-graded sand with clay (or silty clay) Well-graded sand with clay and gravel (or silty clay and gravel) SP-SM <15% gravel Poorly graded sand with silt ≥15% gravel Poorly graded sand with silt and gravel SP-SC <15% gravel Poorly graded sand with clay (or silty clay) ≥15% gravel Poorly graded sand with clay and gravel (or silty clay and gravel) SM <15% gravel Silty sand ≥15% gravel Silty sand with gravel SC <15% gravel ≥15% gravel Clayey sand Clayey sand with gravel SC-SM <15% gravel Silty clayey sand ≥15% gravel Silty clayey sand with gravel Figure 5.4 Flowchart group names for gravelly and sandy soil (Source: From "Annual Book of ASTM Standards, 04.08." Copyright ASTM INTERNATIONAL. Reprinted with permission.)
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Step. 2 P PI>7 and plots on or above A-line Steps CL No.200 <30% plus - No. 200 <15% plus No. 200- 15-29% plus No. 200- % sand 2% gravel -30% plus No. 200 % sand <% gravel ≥15% sand % sand 2% gravel % sand <% gravel <15% gravel ≥15% gravel <15% sand Lean clay Lean clay with sand Lean clay with gravel Sandy lean clay Sandy lean clay with gravel Gravelly lean clay with sand Gravelly lean clay <30% plus No. 200 <15% plus No. 200 Silty clay 15-29% plus No. 200- % sand gravel Silty clay with sand Stop LL< 50 Inorganic LL and plots on or above A-line 4s PI≤7 CL-ML % sand <% gravel % sand 2% gravel <15% gravel ≥30% plus No. 200 ≥15% gravel % sand <% gravel <15% sand ≥15% sand <30% plus No. 200 <15% plus No. 200 15-29% plus No. 200- PI < 4 or plots below A-line ML- % sand ≥% gravel ≥30% plus No. 200 % sand <% gravel % sand ≥ % gravel % sand <% gravel <15% gravel ≥15% gravel <15% sand ≥15% sand Silty clay with gravel Sandy silty clay Sandy silty clay with gravel Gravelly silty clay Gravelly silty clay with sand Silt Silt with sand → Silt with gravel Sandy silt Sandy silt with gravel ➤ Gravelly silt →Gravelly silt with sand LL≥50 LL-oven dried Organic <0.75 OL LL-not dried See Figure 5.6 <30% plus No. 200 PI plots on or above CH- <15% plus No. 200 15-29% plus No. 200 % sand 2% gravel A-line ≥30% plus No. 200 % sand <% gravel Inorganic <30% plus No. 200 <15% plus No. 200 15-29% plus No. 200 PI plots below MH % sand ≥% gravel A-line ≥30% plus No. 200 ≥15% gravel % sand <% gravel <15% sand ≥15% sand LL-oven dried Organic LL-not dried OH See Figure 5.6 % sand 2% gravel % sand <% gravel <15% gravel ≥15% gravel <15% sand ≥15% sand % sand % gravel % sand <% gravel <15% gravel Fat clay Fat clay with sand Fat clay with gravel → Sandy fat clay Sandy fat clay with gravel Gravelly fat clay Gravelly fat clay with sand Elastic silt Elastic silt with sand Elastic silt with gravel Sandy elastic silt Sandy elastic silt with gravel Gravelly elastic silt Gravelly elastic silt with sand Figure 5.5 Flowchart group names for inorganic silty and clayey soils (Source: From "Annual Book of ASTM Standards, 04.08." Copyright ASTM INTERNATIONAL. Reprinted with permission.)
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Compaction 夯實 ·移除孔係中的空氣 +水→軟化劑 Gsrw W: 含水量 W = Ww Ws r↓:乾密度 S: 飽和度 W W 944cm² Gstw rd = 1+W Ite 1+ Gs w rzav Yd S= Vw Vv · Zero-air- (5-1) 理論 0空氣孔隙 19.85 - Zero-air-void curve (G = 2.7) Yzav = 19.00 Line of optimum 4 18.00 150 blows) layer A 30 blows// layer 實驗 8 17.00 Gs rw 1+W.Gs W rw W+ + G5 GS 16.00 15.20 2 25 blows/ layer 20 Mows layer - void 敲越多下 能量越高 10 12 14 16 18 Moisture content, ax(5) 20 Sandy clay: Liquid limit 31 Plastic limit -26
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