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 4 = 8000KN/m²,-y = 20.kN/m³ 2.0m Clay 0.5B -1.5m 0.6 0.533 Iz(avg) 3.0m Sand E = 20000KN/m? 4.5m 0.133 Rock 2B - 6m 2B – 0.6 Iz
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 4 = 8000KN/m²,-y = 20.kN/m³ 2.0m Clay 0.5B -1.5m 0.6 0.533 Iz(avg) 3.0m Sand E = 20000KN/m? 4.5m 0.133 Rock 2B - 6m 2B – 0.6 Iz
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
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"

Transcribed Image 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 mm
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