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Geotechnical Engineering–II [CE-321]
BSc Civil Engineering – 5th Semester
by
Dr. Muhammad Irfan
Assistant Professor
Civil Engg. Dept. – UET Lahore
Email: mirfan1@msn.com
Lecture Handouts: https://groups.google.com/d/forum/geotech-ii_2015session
Lecture # 21
22-Nov-2017
2
EARTH PRESSURE
Pressure exerted by soil on structures.
3
EARTH PRESSURE
Pressure exerted by soil on structures.
Wall moving
towards soil
4
EARTH PRESSURE – SIGNIFICANCE
Purpose of this wall?
Main load acting on
wall?
-- Earth pressure
How to determine it?
5
EARTH PRESSURE – SIGNIFICANCE
6
WHAT AFFECTS EARTH
PRESSURE?
-- Soil type
Strong soil  less pressure
(e.g. OCC soil will have less EP)
-- Imposed loading
- Self weight of soil (overburden)
- Surcharge load
-- Soil-structure interaction
More the soil-structure friction  less will be earth pressure
8
v’(or o’)
v’
h’h’
Case – I
Rigid wall  No movement
Earth pressure at rest
LATERAL EARTH PRESSURE –
CONCEPT
z
Pressure exerted on wall/structure with its lateral movement restrained
How to determine
Lateral Earth
Pressure
?
𝐾0 =
𝜎ℎ
′
𝜎𝑣
′
Coefficient of earth pressure at rest;
Using Earth Pressure Coefficients
9
LATERAL EARTH PRESSURE –
CONCEPT
v
v
h
Case – II
 Wall moving away from soil
 Active Earth pressure, Ka
 Ka << Ko
Ko
Kp
“Passive State”
Failure due to compression
“At Rest” - no strain
Ka
“Active State”
Failure due to expansion
Tension (-) Compression (+)
Earth Pressure
“Active State”
Failure due to expansion/tension in soil
“Passive State”
Failure due to compression
Case – III
 Wall moving towards soil
 Passive Earth pressure, Kp
 Kp >> Ko
10
EARTH PRESSURE
-- REAL LIFE SCENARIO --
11
LATERAL EARTH PRESSURE –
CONCEPT
Typical Values
12
WALL MOVEMENT TO ACTIVATE
ACTIVE/PASSIVE EARTH PRESSURE
13
EARTH PRESSURE COEFFICIENT
AT REST (Ko)
Vertical effective stress = ’o = gz
Horizontal effective stress = ’h = Kogz
For loose coarse-grained soil, KO can be
estimated by using the empirical relationship
(Jacky, 1944)
where f’ = drained friction angle
For dense sand backfill, Jacky formula may
underestimate the effect of compaction and thus
KO. The following formula should be used
gd = actual compacted unit wt. of the sand behind the
wall
gd(min) = dry unit wt. of sand in the loosest state
𝐾0 = 1 − sin 𝜙′
14
EARTH PRESSURE COEFFICIENT
AT REST (Ko)
The increase of Ko in dense sands compared to
Jacky formula is due to over-consolidation.
For fine grained, normally consolidated soils
𝐾0 = 1 − sin 𝜙′ ∙ (𝑂𝐶𝑅)0.5
For OCC
15
EARTH PRESSURE COEFFICIENT AT
REST (Ko)
16
EARTH PRESSURE ON A WALL AT
REST
17
EARTH PRESSURE ON A WALL AT
REST
Partially Submerged Soil
gsub (or g’) = gsat - gw
18
EARTH PRESSURE ON A WALL AT
REST
Partially Submerged Soil
19
EARTH PRESSURE ON A WALL AT
REST Partially Submerged Soil
Force per unit length of the wall
= Sum of areas of pressure diagram
20
Practice Problem #1
24
LATERAL EARTH PRESSURE – Review
25
CONCLUDED
REFERENCE MATERIAL
Principles of Geotechnical Engineering – (7th Edition)
Braja M. Das
Chapter #13
Essentials of Soil Mechanics and Foundations (7th Edition)
David F. McCarthy
Chapter #17
Geotechnical Engineering – Principles and Practices – (2nd Edition)
Coduto, Yueng, and Kitch
Chapter #17

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Geotechnical Engineering-II [Lec #21: Lateral Earth Pressure)

  • 1. 1 Geotechnical Engineering–II [CE-321] BSc Civil Engineering – 5th Semester by Dr. Muhammad Irfan Assistant Professor Civil Engg. Dept. – UET Lahore Email: mirfan1@msn.com Lecture Handouts: https://groups.google.com/d/forum/geotech-ii_2015session Lecture # 21 22-Nov-2017
  • 2. 2 EARTH PRESSURE Pressure exerted by soil on structures.
  • 3. 3 EARTH PRESSURE Pressure exerted by soil on structures. Wall moving towards soil
  • 4. 4 EARTH PRESSURE – SIGNIFICANCE Purpose of this wall? Main load acting on wall? -- Earth pressure How to determine it?
  • 5. 5 EARTH PRESSURE – SIGNIFICANCE
  • 6. 6 WHAT AFFECTS EARTH PRESSURE? -- Soil type Strong soil  less pressure (e.g. OCC soil will have less EP) -- Imposed loading - Self weight of soil (overburden) - Surcharge load -- Soil-structure interaction More the soil-structure friction  less will be earth pressure
  • 7. 8 v’(or o’) v’ h’h’ Case – I Rigid wall  No movement Earth pressure at rest LATERAL EARTH PRESSURE – CONCEPT z Pressure exerted on wall/structure with its lateral movement restrained How to determine Lateral Earth Pressure ? 𝐾0 = 𝜎ℎ ′ 𝜎𝑣 ′ Coefficient of earth pressure at rest; Using Earth Pressure Coefficients
  • 8. 9 LATERAL EARTH PRESSURE – CONCEPT v v h Case – II  Wall moving away from soil  Active Earth pressure, Ka  Ka << Ko Ko Kp “Passive State” Failure due to compression “At Rest” - no strain Ka “Active State” Failure due to expansion Tension (-) Compression (+) Earth Pressure “Active State” Failure due to expansion/tension in soil “Passive State” Failure due to compression Case – III  Wall moving towards soil  Passive Earth pressure, Kp  Kp >> Ko
  • 9. 10 EARTH PRESSURE -- REAL LIFE SCENARIO --
  • 10. 11 LATERAL EARTH PRESSURE – CONCEPT Typical Values
  • 11. 12 WALL MOVEMENT TO ACTIVATE ACTIVE/PASSIVE EARTH PRESSURE
  • 12. 13 EARTH PRESSURE COEFFICIENT AT REST (Ko) Vertical effective stress = ’o = gz Horizontal effective stress = ’h = Kogz For loose coarse-grained soil, KO can be estimated by using the empirical relationship (Jacky, 1944) where f’ = drained friction angle For dense sand backfill, Jacky formula may underestimate the effect of compaction and thus KO. The following formula should be used gd = actual compacted unit wt. of the sand behind the wall gd(min) = dry unit wt. of sand in the loosest state 𝐾0 = 1 − sin 𝜙′
  • 13. 14 EARTH PRESSURE COEFFICIENT AT REST (Ko) The increase of Ko in dense sands compared to Jacky formula is due to over-consolidation. For fine grained, normally consolidated soils 𝐾0 = 1 − sin 𝜙′ ∙ (𝑂𝐶𝑅)0.5 For OCC
  • 15. 16 EARTH PRESSURE ON A WALL AT REST
  • 16. 17 EARTH PRESSURE ON A WALL AT REST Partially Submerged Soil gsub (or g’) = gsat - gw
  • 17. 18 EARTH PRESSURE ON A WALL AT REST Partially Submerged Soil
  • 18. 19 EARTH PRESSURE ON A WALL AT REST Partially Submerged Soil Force per unit length of the wall = Sum of areas of pressure diagram
  • 21. 25 CONCLUDED REFERENCE MATERIAL Principles of Geotechnical Engineering – (7th Edition) Braja M. Das Chapter #13 Essentials of Soil Mechanics and Foundations (7th Edition) David F. McCarthy Chapter #17 Geotechnical Engineering – Principles and Practices – (2nd Edition) Coduto, Yueng, and Kitch Chapter #17