1. The Maine DOT is constructing a section of the E-W highway along a 25 ft. high natural rock embankment. The slope of the rock face is 1.5H:IV. The DOT has requested a preliminary investigation of the factor of safety against slope instability. Rock cores gathered during the subsurface investigation indicate the predominant orientation of discontinuities varies between 9 and 19 deg. They are targeting a factor of safety of at least 1.5. Assuming a planar failure surface that extends through the toe and a friction angle of 25 degrees along the discontinuities: a. Plot the FS on the vertical axis for failure inclinations ranging between 9 and 19 degrees (horizontal axis). Is the required factor of safety satisfied? (Hint: create a spreadsheet and show one example calculation). H = 25 ft 7777 T 1.5 Traffic Surcharge Pressure Failure surface Inclination, B Rock o'= 25 deg Y = 145 pcf

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
1. The Maine DOT is constructing a section of the E-W highway along a 25 ft. high natural rock
embankment. The slope of the rock face is 1.5H:1V. The DOT has requested a preliminary
investigation of the factor of safety against slope instability. Rock cores gathered during the subsurface
investigation indicate the predominant orientation of discontinuities varies between 9 and 19 deg. They
are targeting a factor of safety of at least 1.5. Assuming a planar failure surface that extends through the
toe and a friction angle of 25 degrees along the discontinuities:
a. Plot the FS on the vertical axis for failure inclinations ranging between 9 and 19 degrees
(horizontal axis). Is the required factor of safety satisfied? (Hint: create a spreadsheet and show
one example calculation).
H = 25 ft
1.5
Traffic Surcharge Pressure
Failure surface
Inclination, B
Rock
o'= 25 deg
Y = 145 pcf
Transcribed Image Text:1. The Maine DOT is constructing a section of the E-W highway along a 25 ft. high natural rock embankment. The slope of the rock face is 1.5H:1V. The DOT has requested a preliminary investigation of the factor of safety against slope instability. Rock cores gathered during the subsurface investigation indicate the predominant orientation of discontinuities varies between 9 and 19 deg. They are targeting a factor of safety of at least 1.5. Assuming a planar failure surface that extends through the toe and a friction angle of 25 degrees along the discontinuities: a. Plot the FS on the vertical axis for failure inclinations ranging between 9 and 19 degrees (horizontal axis). Is the required factor of safety satisfied? (Hint: create a spreadsheet and show one example calculation). H = 25 ft 1.5 Traffic Surcharge Pressure Failure surface Inclination, B Rock o'= 25 deg Y = 145 pcf
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