For the retaining wall shown above calculate the following: A) Calculate the value of K (for either the 'active' or 'passive' earth pressure - whichever is appropriate! ...you decide). B) Calculate and sketch the pressure distribution on the 'back' side (soil side) of the retaining wall (show all of the relevant pressure distributions and indicate the magnitude of the distributions on the sketch). Indicate the correct units! C) Calculate the resultant horizontal force for each pressure distribution and calculate the total overturning moment about the base of the wall. Show the forces in the correct units!

For the retaining wall shown above calculate the following: A) Calculate the value of K (for either the 'active' or 'passive' earth pressure - whichever is appropriate! ...you decide). B) Calculate and sketch the pressure distribution on the 'back' side (soil side) of the retaining wall (show all of the relevant pressure distributions and indicate the magnitude of the distributions on the sketch). Indicate the correct units! C) Calculate the resultant horizontal force for each pressure distribution and calculate the total overturning moment about the base of the wall. Show the forces in the correct units!

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

T
3 m
3 m
P₁K,YH
Ground
water table
For the retaining wall shown above calculate the following:
A) Calculate the value of K (for either the 'active' or 'passive' earth pressure - whichever is appropriate!
...you decide).
K. tan² (45° - 4)
Ka
2
B) Calculate and sketch the pressure distribution on the 'back' side (soil side) of the retaining wall (show
all of the relevant pressure distributions and indicate the magnitude of the distributions on the sketch).
Indicate the correct units!
C) Calculate the resultant horizontal force for each pressure distribution and calculate the total
overturning moment about the base of the wall. Show the forces in the correct units!
-KY'H
D) If this wall has a 'depth' (in-and-out of the 'page') of 20-m, what is the total horizontal force applied
to the wall? How much total friction force is needed between the base of the wall and the soil to
provide a Factor of Safety of 2.0 against 'sliding'.
(useful formulas are given below)
(a) Passive
y = 16 kN/m
= 30°
c=0
K₂Yz
Ysat 18 kN/m³
= 35°
c=0
PK23
KTH
(b) Active
Ho
3
Z
hu
K₂ tan² 45° + 2
(ox)a= Kao'z + Kaqs + u
(ox) p = Kpo'z + Kpqs + u
9₁
(c) Hydrostatic pressure
KAH
Ho
KA
(d) Surface stress
2

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Step 1: Given data:

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Step 2: 1. The value of K (for either the 'active' or 'passive' earth pressure

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Step 3: 2. The pressure distribution on the 'back' side (soil side) of the retaining wall

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Step 4: 3. Resultant horizontal force for each pressure distribution:

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Step 5: Overturning moment:

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