A cantilever retaining wall is required to support a backfill having the following soil properties: unit weight, y = 18 kN/m³ and internal angle of friction, p=32°. The soil properties of the existing soil are: unit weight, y = 18.5 kN/m³, internal angle of friction, 2 = 20°, and cohesion, c = 30 kN/m². The proposed height of the wall is 5.75 m (from the bottom of the base to the top of the stem) while the height of the soil from the bottom of the toe extends 1.5 m. It is also proposed that the backfill will have a ground slope of 10°. Additionally, the unit weight of the concrete is Yconcrete = 24 kN/m³. 1. Propose appropriate and economical dimensions of the retaining wall and check the stability of the wall with respect to a) overturning, b) sliding, and c) bearing capacity using the Rankine's active earth pressure theory. 2. Plot the pressure variation on the retaining wall for your proposed structure and determine the magnitude and location of the resultant force under the following conditions: • The water table is well below the base of the wall, • The water table raises 2 m above the heel.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A cantilever retaining wall is required to support a backfill having the following soil properties:
unit weight, y = 18 kN/m³ and internal angle of friction, p=32°. The soil properties of the
existing soil are: unit weight, y = 18.5 kN/m³, internal angle of friction, 2 = 20°, and cohesion,
c = 30 kN/m². The proposed height of the wall is 5.75 m (from the bottom of the base to the top
of the stem) while the height of the soil from the bottom of the toe extends 1.5 m. It is also
proposed that the backfill will have a ground slope of 10°. Additionally, the unit weight of the
concrete is Yconcrete = 24 kN/m³.
1. Propose appropriate and economical dimensions of the retaining wall and check the
stability of the wall with respect to a) overturning, b) sliding, and c) bearing capacity using
the Rankine's active earth pressure theory.
2. Plot the pressure variation on the retaining wall for your proposed structure and
determine the magnitude and location of the resultant force under the following
conditions:
• The water-table is well below the base of the wall,
• The water-table raises 2 m above the heel.
Transcribed Image Text:A cantilever retaining wall is required to support a backfill having the following soil properties: unit weight, y = 18 kN/m³ and internal angle of friction, p=32°. The soil properties of the existing soil are: unit weight, y = 18.5 kN/m³, internal angle of friction, 2 = 20°, and cohesion, c = 30 kN/m². The proposed height of the wall is 5.75 m (from the bottom of the base to the top of the stem) while the height of the soil from the bottom of the toe extends 1.5 m. It is also proposed that the backfill will have a ground slope of 10°. Additionally, the unit weight of the concrete is Yconcrete = 24 kN/m³. 1. Propose appropriate and economical dimensions of the retaining wall and check the stability of the wall with respect to a) overturning, b) sliding, and c) bearing capacity using the Rankine's active earth pressure theory. 2. Plot the pressure variation on the retaining wall for your proposed structure and determine the magnitude and location of the resultant force under the following conditions: • The water-table is well below the base of the wall, • The water-table raises 2 m above the heel.
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