Problem (5.3): (Total immediate settlement) Determine the total immediate settlement of the rectangular footing shown in figure below after 2 months. 1200 kN G.S. 1.0m 3m x 4m 9 = 8000KN/m²y =...



resolve problem: Redo problem (5.3) but with sand instead of clay as shown in the figure below.

(Ans.: Si(Total) = 5.75 mm)




"please resolve the problem 5.3 but sand instead of clay"



"solve all problem"


Problem (5.3): (Total immediate settlement)<br>Determine the total immediate settlement of the rectangular footing shown in figure<br>below after 2 months.<br>1200 kN<br>G.S.<br>1.0m<br>3m x 4m<br>9 = 8000KN/m²y = 20.kN/m³<br>0.6<br>2.0m<br>Clay<br>0.5B -1.5m<br>0.633<br>Izavg)<br>3.0m<br>Sand<br>E = 20000KN/m?<br>4.5m<br>0.133<br>Rock<br>2B - 6m<br>2B – 0.6 Iz<br>Solution:<br>Since the soil profile is made up of two different soils, then the total immediate settlement will be:<br>Si(Total) = Sa(clay) + S;(sand)<br>Immediate Settlement of clay by Bjerrum's method:<br>q.B<br>Si(average )flexible =HoH1<br>-(5.7)<br>From Fig.(5.4): for Dę/B = 1/3 = 0.33 and L/B = 4/3 = 1.33; Ho=0.93<br>for H/B = 2/3 = 0.66 and L/B = 1.33; H1=0.38<br>(1200/3x4)(3)(1000),<br>S(average)flexible = (0.93)(0.38)-<br>Immediate Settlement of sand by Schmertmann's method:<br>6.6 mm<br>(2x8x1000)<br>For square foundation:<br>C;C2<br>I,Az<br>S; =<br>2.5<br>(5.6a)<br>C = 1-0.50 20.5<br>Ap<br>At foundation level:<br>1200<br>P = D5.y = 1(20) = 20 kN/m², AP = P/A - P% =<br>On sand surface:<br>20 = 80 kN/m<br>Зx4<br>(80)(3)(4)<br>P% = D5.y = 3(20) = 60 kN/m²,<br>= 32 kN/m² (2:1 method)<br>ΔΡ<br>(3 + 2)(4 + 2)<br>60<br>C = 1-0.5 = 0.06 <0.5<br>32<br>.. Use C = 0.5<br>2/12<br>C2 = 1+0.2log 10<br>- =1+ 0.2 log10<br>0.1<br>=1.04<br>0.1<br>0.533 + 0.133<br>Iz Az _ (0.333)(3)<br>= 4.9.x.10-5<br>Iz(avg.)<br>= 0.333,<br>2<br>E<br>20000<br>Si(sand) = (0.5)(1.04)(32)(4.9.x.10-³) =0.815 mm<br>* Si(Total) = 6.6 + 0.815 = 7.415 mm<br>

Extracted text: Problem (5.3): (Total immediate settlement) Determine the total immediate settlement of the rectangular footing shown in figure below after 2 months. 1200 kN G.S. 1.0m 3m x 4m 9 = 8000KN/m²y = 20.kN/m³ 0.6 2.0m Clay 0.5B -1.5m 0.633 Izavg) 3.0m Sand E = 20000KN/m? 4.5m 0.133 Rock 2B - 6m 2B – 0.6 Iz Solution: Since the soil profile is made up of two different soils, then the total immediate settlement will be: Si(Total) = Sa(clay) + S;(sand) Immediate Settlement of clay by Bjerrum's method: q.B Si(average )flexible =HoH1 -(5.7) From Fig.(5.4): for Dę/B = 1/3 = 0.33 and L/B = 4/3 = 1.33; Ho=0.93 for H/B = 2/3 = 0.66 and L/B = 1.33; H1=0.38 (1200/3x4)(3)(1000), S(average)flexible = (0.93)(0.38)- Immediate Settlement of sand by Schmertmann's method: 6.6 mm (2x8x1000) For square foundation: C;C2 I,Az S; = 2.5 (5.6a) C = 1-0.50 20.5 Ap At foundation level: 1200 P = D5.y = 1(20) = 20 kN/m², AP = P/A - P% = On sand surface: 20 = 80 kN/m Зx4 (80)(3)(4) P% = D5.y = 3(20) = 60 kN/m², = 32 kN/m² (2:1 method) ΔΡ (3 + 2)(4 + 2) 60 C = 1-0.5 = 0.06 <0.5 32="" ..="" use="" c="0.5" 2/12="" c2="1+0.2log" 10="" -="1+" 0.2="" log10="" 0.1="1.04" 0.1="" 0.533="" +="" 0.133="" iz="" az="" _="" (0.333)(3)="4.9.x.10-5" iz(avg.)="0.333," 2="" e="" 20000="" si(sand)="(0.5)(1.04)(32)(4.9.x.10-³)" =0.815="" mm="" *="" si(total)="6.6" +="" 0.815="7.415">
1200 kN<br>G.S.<br>1.0m<br>Зт x 4m<br>2.0m<br>9c = 8000 .kN / m²,..y = 20.kN / m`<br>sand<br>3.0m<br>clay<br>E= 20000...kN/m?<br>Rock<br>

Extracted text: 1200 kN G.S. 1.0m Зт x 4m 2.0m 9c = 8000 .kN / m²,..y = 20.kN / m` sand 3.0m clay E= 20000...kN/m? Rock

Jun 11, 2022
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