A retaining wall has failed as shown in the diagram below. A block of soil (shown in yellow) is analyzed in the field. Your careful field examination shows that the failure surface is at an angle of approximately 45 degrees with the horizontal. Your calculations (which have been checked for accuracy) show the following values for the stresses on the yellow block: Horizontal Plane: Vertical Plane: Normal Stress = 19 kN/m² Shear Stress = 14 kN/m² Normal Stress = 36 kN/m² Shear Stress = -14 kN/m² Now you must find: (1) The maximum and minimum principal stresses and (2) The normal and shear stress on the failure plane. Using the pole method and verify your results using equations.
A retaining wall has failed as shown in the diagram below. A block of soil (shown in yellow) is analyzed in the field. Your careful field examination shows that the failure surface is at an angle of approximately 45 degrees with the horizontal. Your calculations (which have been checked for accuracy) show the following values for the stresses on the yellow block: Horizontal Plane: Vertical Plane: Normal Stress = 19 kN/m² Shear Stress = 14 kN/m² Normal Stress = 36 kN/m² Shear Stress = -14 kN/m² Now you must find: (1) The maximum and minimum principal stresses and (2) The normal and shear stress on the failure plane. Using the pole method and verify your results using equations.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:A retaining wall has failed as shown in the diagram below. A block of soil (shown in yellow) is
analyzed in the field. Your careful field examination shows that the failure surface is at an angle
of approximately 45 degrees with the horizontal.
Your calculations (which have been checked for accuracy) show the following values for the
stresses on the yellow block:
Horizontal Plane:
Vertical Plane:
Normal Stress = 19 kN/m²
Shear Stress 14 kN/m²
Retaining
wall
Normal Stress = 36 kN/m²
Shear Stress = -14 kN/m²
Now you must find:
(1) The maximum and minimum principal stresses and
(2) The normal and shear stress on the failure plane.
Using the pole method and verify your results using equations.
Mobilized
shear
resistance
Failure
surface
Hint: Sketch the physical plane showing forces and failure plane (a free body diagram of the yellow box).
Sketch the stress plane (Mohr Circle).
Sketches draw to scale make analysis easier.
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