Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 13, Problem 13.24P
a)
To determine
Draw the variation of Rankine’s active pressure on the wall with depth.
b)
To determine
Find the depth
c)
To determine
Find the total active force
d)
To determine
Find the total active force
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Determine the stability of the cantilever gravity retaining wall shown in figure below.
The existing soil is a clay and the backfill is a coarse-grained soil. The base of the wall
will rest on a 50-mm-thick, compacted layer of the backfill. The interface friction between
the base and the compacted layer of backfill is 25.0°. Groundwater level is 8 m below the
base.
1.0 m
Batter
1:20
0.4 m
1.8 m
9, = 20 kPa
8⁰
Ysat = 18 kN/m³
cs = 25°
8 = 15⁰
Backfill
Drainage blanket
Y = 23.5 kN/m³
3 m
Existing
soil
6.1 m
0.9 mi
Ysat = 19 kN/m³
= 35°
% = 25°
A fixed retaining wall is backfilled to height of 10m with dry cohesionless sand. The resulting backfill has
a unit weight of 18kN/m³ and a drained angle of internal friction of 36°.
a.
Prior to backfilling, what is the horizontal stress (kPa) at a depth of 10m below the final
elevation of the finished backfill?
b. Assuming that the overconsolidation ratio of the soil in the backfill at a depth 10m below the
surface is equal to 2.0, what is the corresponding effective horizontal stress at a depth of 10m
below the top of the backfill?
c. If a 200kN/m² surcharge is then applied to the surface of the backfill in the previous item (b),
what will be the effective horizontals stress (kPa) at a depth of 10m below the top of the
backfill?
d.
If the surcharge in the previous item (c) is reduced to 25kPa, what will be the effective
horizontal stress at a depth of 10m below the top of the backfill?
e.
If the surcharge in the previous item (d) is increased to 100kPa, what will be the effective…
An 8 m tall retaining wall holds cohesionless sand with a density and angle of internal friction of 1.85 Mg/m3 and 33°, respectively. If the surface of the backfill slopes upwards at 86° to the vertical, Use Rankine’s conditions to find the force per unit length of the wall and its location for (a) Active State (b) Passive State Please draw the pressure diagram neatly for both cases
Chapter 13 Solutions
Principles of Geotechnical Engineering (MindTap Course List)
Ch. 13 - Prob. 13.1PCh. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Prob. 13.4PCh. 13 - Prob. 13.5PCh. 13 - Prob. 13.6PCh. 13 - Prob. 13.7PCh. 13 - Prob. 13.8PCh. 13 - Prob. 13.9PCh. 13 - Prob. 13.10P
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - Prob. 13.15PCh. 13 - Prob. 13.16PCh. 13 - Prob. 13.17PCh. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Prob. 13.20PCh. 13 - Prob. 13.21PCh. 13 - Prob. 13.22PCh. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.1CTP
Knowledge Booster
Similar questions
- 2. Figure 2 shows a non-yielding vertical wall retaining a sandy backfill underlain by clay. Determine the magnitude of the resultant at-rest force per unit length on the wallI, Pa Sand y= 18 kN/m d'= 34", e 0 OCR = 2 4m G.W.T 2 m Clay Yu=19 kN/m LL = 36, PL = 14. OCR = 3 Figure 2arrow_forwardA retaining wall 6m high retains sand with φ = 30° and unit weight24kN/m3 upto the depth of 3 m from top. From 3 m to 6 m the material is cohesive soil with c = 20kN/m2 and φ = 20°. Unit weight of cohesivesoil is 18 kN/m3 A uniform surcharge of 100 kN/m2 acts on top of thesoil determine the total lateral pressure acting on the wall and its pointsof application.arrow_forwardA retaining wall is constructed in a clayey soil. The height of the backfill is found to be 9m, the unit weight of the sand is 2t/m³ and the angle of internal friction is 30°. Find out the earth pressure per meter length on the retaining wall with a smooth vertical back.arrow_forward
- A 5-m-high retaining wall with a vertical back face retains a homogeneous satu- rated soft clay. The saturated unit weight of the clay is 21 kN/mn³. Laboratory tests showed that the undrained shear strength, C, of the clay is 17 kN/m². a. Make the necessary calculation and draw the variation of Rankine's active pressure on the wall with depth. b. Find the depth up to which tensile crack can occur. c. Determine the total active force per unit length of the wall before the tensile crack occurs. d. Determine the total active force per unit length of the wall after the tensile crack occurs. Also, find the location of the resultant.arrow_forwardA retaining wall 6 m high with a vertical back face retains a homogeneous saturated soft clay. The saturated unit weight of the clay is 19.8 kN/m^3. Laboratory tests showed that the undrained shear strength, cu, of the clay is 14.7 kN/m^2. a. Do the necessary calculations and draw the variation of Rankine’s active pressure on the wall with depth. b. Find the depth up to which a tensile crack can occur. c. Determine the total active force per unit length of the wall before the tensile crack occurs. d. Determine the total active force per unit length of the wall after the tensile crack occurs. Also find the location of the resultant.arrow_forwardA retaining wall with a smooth vertical back retains a purely cohesive fill. Height of wall is 12 m. Unit weight of fill is 20 kN/m3, cohesion is 1.5 N/cm2. Assume tension cracks are developed. Mark the correct statement(s) about earth pressure. A Active thrust acting on wall is 1102.50 kN/m. Correct Option Depth of active thrust acting on wall is 6 m. C Active thrust acting on wall is 112.39 tonne/m. Correct Option Depth of active thrust acting on wall is 3.5 m from base. Correct Option Barrow_forward
- A retaining wall supports a horizontal backfill that is composed of two types of soil. The first layer is 4.47m high. It has a unit weight of 16.92kN/m3. The second layer is 5.76m and has a unit weight of18.51 kn/m3. If the angle of friction for both layers is 38 degrees, determine the total active force (kN) acting on the retaining wall per unit. Use stored value. Asnwer on 5 decimal places.arrow_forward3. Draw the pressure diagram of the retaining wall with the soil profile shown both in active and passive cases. Solve for the active and passive lateral force and its location from the bottom of the wall. 4.5 KPa Gs = 2.73 e = 0.67 Ø = 27° C =0 KPa %3D 4m Gs = 2.66 %3D e = 0.85 Ø = 34° C = 5 KPa 6marrow_forwardGiven the height of the retaining wall, H is 6.4 m; the backfill is a saturated clay with f 5 08, c 5 30.2 kN/m2 , gsat 5 17.76 kN/m3 , a. Determine the Rankine active pressure distribution diagram behind the wall. b. Determine the depth of the tensile crack, zc. c. Estimate the Rankine active force per foot length of the wall before and after the occurrence of the tensile crack.arrow_forward
- Assume that a frictionless retaining wall 15 ft high having a vertical backface supports a sandy soil with a unit weight of 118 pcf and an angle of internal friction of 34°. The soil backfill is level. Calculate the difference in the lateral force imposed onto the wall (per foot of wall length) when the at-rest lateral pressure condition applies compared to when the active lateral pressure condition applies (express the difference as a percentage increase related to the active pressure condition).arrow_forward2. A retaining wall is 8.2 m high. The soil is sandy loam of density 1.8 Mg/m^3. It shows a cohesion of 20 KPa and an angle of friction of 20 degrees. The upper surface of the fill is horizontal. Compute the magnitude and location of the resultant thrust on the wall if drains are locked water builds up behind the wall until the water table is 3 m above the bottom of the wall. Saturated unit weight of soil is 2.1 Mg/m^3.arrow_forwardConsidering that the horizontal thrust from the back of a 5.5 m wide brick wall to the 1 m deep part of the wall is H = 55 kN a) Find the greatest stress in the base when b = 2 m.b) Find the width b so that there is a shrinkage zone at the base.(Note: unit weight of brick wall ỿ = 24 kN / m3 ) Answer: ϭmax=0,30 Mpa, b=2,23 marrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill Education
Traffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning