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Salgado 16.1 ‐16.3 Ch. 16 Lecture Notes Reading Assignment Develop a spreadsheet for the design of an embedded gravity wall (see example in class notes.) Turn in your solution for the case given in the lecture notes 1. Determine the factor of safety against overturning and sliding for the following case: 2. Wall Dimensions Fill Properties Top 4 ft β backfill deg 20 0.349 radians Bottom 4 ft β toe deg 0 0.000 radians γconcrete 150 pcf φ deg 40 0.698 radians H 15 ft δ deg 20 0.349 radians D 3 ft Qbackwall deg 0 0.000 radians Qfrontwall deg 0 0.000 radians γ backfill 120 pcf Partial Answer Factors of Safety FSsliding 2.813 FSoturn 1.462 Determine the factor of safety against overturning and sliding for the following case: 3. Wall Dimensions Fill Properties Top 3 ft β backfill deg 0 0.000 radians Bottom 3 ft β toe deg 0 0.000 radians γconcrete 150 pcf φ deg 40 0.698 radians H 10 ft δ deg 20 0.349 radians D 0 ft Qbackwall deg 0 0.000 radians Qfrontwall deg 0 0.000 radians γ backfill 120 pcf Homework Assignment Ch. 16 Retaining Structures Monday, November 9, 2015 11:43 AM Ch. 16 - Retaining Structures Page 1

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Page 1: Ch. 16 - Retaining Structures - Civil Engineeringbartlett/CVEEN5305/Ch. 16 - Retaining... · Introduction to Retaining Structures Monday, November 9, 2015 11:43 AM ... Earth Pressure

Salgado 16.1 ‐16.3○Ch. 16 Lecture Notes○

Reading Assignment

Develop a spreadsheet for the design of an embedded gravity wall (see example in class notes.) Turn in your solution for the case given in the lecture notes

1.

Determine the factor of safety against overturning and sliding for the following case:

2.

Wall Dimensions Fill Properties

Top 4 ft β backfill deg 20 0.349 radians

Bottom 4 ft β toe deg 0 0.000 radians

γconcrete 150 pcf φ deg 40 0.698 radians

H 15 ft δ deg 20 0.349 radians

D 3 ft Qbackwall deg 0 0.000 radians

Qfrontwall deg 0 0.000 radians

γ backfill 120 pcf

Partial AnswerFactors of Safety

FSsliding 2.813

FSoturn 1.462

Determine the factor of safety against overturning and sliding for the following case:

3.

Wall Dimensions Fill Properties

Top 3 ft β backfill deg 0 0.000 radians

Bottom 3 ft β toe deg 0 0.000 radians

γconcrete 150 pcf φ deg 40 0.698 radians

H 10 ft δ deg 20 0.349 radians

D 0 ft Qbackwall deg 0 0.000 radians

Qfrontwall deg 0 0.000 radians

γ backfill 120 pcf

Homework Assignment

Ch. 16 Retaining StructuresMonday, November 9, 2015 11:43 AM

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Failure modes(a) bearing capacity failure of base or footing(b) sliding(c) overturning(d) global instability

Introduction to Retaining StructuresMonday, November 9, 2015 11:43 AM

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(a) bearing capacity failure

http://www.fhwa.dot.gov/publications/research/infrastructure/structures/11030/005.cfm

This failure was due to liquefaction of the foundation soils ‐ 2010 Chilean earthquake

Introduction to Retaining Structures (cont.)Monday, November 9, 2015 11:43 AM

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(b) sliding

http://www.michael‐roberts.co.uk/photo/pmisc0.jpg

Introduction to Retaining Structures (cont.)Monday, November 9, 2015 11:43 AM

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(c) overturning

http://designandbuildllc.com/design‐and‐build‐gallery/

Introduction to Retaining Structures (cont.)Monday, November 9, 2015 11:43 AM

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(d) global instability

Introduction to Retaining Structures (cont.)Monday, November 9, 2015 11:43 AM

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Remediation of MSE wall failure ‐ Woodlands Building C, Philippines

Introduction to Retaining Structures (cont.)Monday, November 9, 2015 11:43 AM

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Remediation of MSE wall failure ‐ Woodlands Building C, Philippines

Final configuration without EPS Geofoam

Introduction to Retaining Structures (cont.)Monday, November 9, 2015 11:43 AM

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K = 'h / 'v

Earth Pressure Theory ‐ Which Theory?Monday, November 9, 2015 11:43 AM

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'

'

Earth Pressure Theory, Ko ConditionsMonday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Ko Conditions (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Ko Conditions (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Ko Conditions (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Ko Conditions (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Active StateMonday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Active State (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Active State (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Active State (cont.)Monday, November 9, 2015 11:43 AM

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For sliding

For toppling

Earth pressure diagram for the active case(for case without water in backfill).

Earth pressure diagram

Active Failure State Pressure DiagramsMonday, November 9, 2015 11:43 AM

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For sliding

For toppling

Earth pressure diagram for the active case(for case with water)

Earth pressure diagram Hydrostatic water pressure diagram

Active Failure State Pressure Diagrams (cont.)Monday, November 9, 2015 11:43 AM

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Force diagram

EA is unknown.  Maximize EA by solving 

for dEA / d = 0

For more information, see Coulomb Theory

Active Failure State ‐ Sloped BackfillMonday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Passive StateMonday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Passive State (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Passive State (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory ‐ More Pressure DiagramsMonday, November 9, 2015 11:43 AM

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Earth Pressure Theory ‐ More Pressure Diagrams (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory ‐ More Pressure Diagrams (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory ‐ More Pressure Diagrams (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory ‐ More Pressure Diagrams (cont.)Monday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Coulomb Theory ‐ Active StateMonday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Coulomb Theory ‐ Active State (cont.)Monday, November 9, 2015 11:43 AM

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Kp equation from Das, Principles of Geotechnical Engineering4th Edition.  I have corrected the error in this equation.

Earth Pressure Theory, Coulomb Theory ‐ Active and Passive StateMonday, November 9, 2015 11:43 AM

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The notation in this table is different from that used in the free body diagrams in 

the previous pages.  For this table, ALPHA) is the inclination of the backwall measured from the horizontal (i.e.,  is 90 for a vertical backwall); BETA) is the inclination of the slope behind the wall,  (phi) is the internal angle of friction of 

the backfill soil, and  (delta) is the interface friction between the backfill soil and the wall (i.e., concrete).

The values in this table can be used to check your functions entered in the homework spreadsheet.

Earth Pressure Theory, Coulomb Theory ‐ Active and Passive StateMonday, November 9, 2015 11:43 AM

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Earth Pressure Theory, Rankine Approximation for Sloped BackfillMonday, November 9, 2015 11:43 AM

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Note that the amount of lateral displacement wlat is much larger for the passive state e when compare with that of active state.  This means that full active earth pressure is mobilized after only small displacements; whereas full passive earth pressure requires more displacement. Hence, especially for passive earth pressure, one must consider the amount of displacement that is expected in order to estimate the passive earth pressure.

Active and Passive Pressure ‐ Movement of WallMonday, November 9, 2015 11:43 AM

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Active and Passive Pressure ‐ Application in Wall DesignMonday, November 9, 2015 11:43 AM

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Retaining Wall Design (Free Body Diagrams ‐ Gravity Wall)Monday, November 9, 2015 11:43 AM

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Retaining Wall Design (Gravity Wall ‐ Spreadsheet)Tuesday, December 5, 2017 10:49 AM

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For more information on the design of cantilevered wall systems, see handout on course website

Retaining Wall Design ( FBD ‐ Cantilevered Wall)Monday, November 9, 2015 11:43 AM

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Retaining Wall Design ( FBD ‐ Cantilevered Wall with Tieback)Monday, November 9, 2015 11:43 AM

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Retaining Wall Design (Mechanically Stabilized Earth Walls ( MSE))Monday, November 9, 2015 11:43 AM

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Soil NailingMonday, November 9, 2015 11:43 AM

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Remediation of a MSE wall using soil nailing

Soil nailing ‐ Provo CanyonTo stabilize a potential landslide, which could be triggered by a cut for the new roadway alignment, Schnabel Foundation Company installed 208 encapsulated 14‐strand anchors in the sidehill cut. The anchors have a design load of 400 kips and an average installed length of 160 feet in order to make capacity behind the failure plain

From <http://www.schnabel.com/projects/view/75> 

Soil NailingMonday, November 9, 2015 11:43 AM

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BlankMonday, November 9, 2015 11:43 AM

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