(a) Draw the Mohr circle that describes the 2D stress state and find the maximum shear stress that acts on the soil element. (b) Deteremine the angle of the plane on which the maximum shear stress (Tmax) acts and obtain the normal stress on that plane (find the pole first). (c) Confirm the maximum shear stress and the normal stress from (b) using the stress transformation equations. (d) Explain why the failure of soil does not on the Tmax plane.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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3. Please answer parts a, b, c, and d

The vertical compressive stress in a soil element is 120 kPa while the
horizontal compressive stress at the same element is 55 kPa. Both
stresses are principal stresses.
(a) Draw the Mohr circle that describes the 2D stress state and find
the maximum shear stress that acts on the soil element.
(b) Deteremine the angle of the plane on which the maximum shear
stress (Tmax) acts and obtain the normal stress on that plane (find
the pole first).
(c) Confirm the maximum shear stress and the normal stress from (b)
using the stress transformation equations.
(d) Explain why the failure of soil does not on the Tmax plane.
Transcribed Image Text:The vertical compressive stress in a soil element is 120 kPa while the horizontal compressive stress at the same element is 55 kPa. Both stresses are principal stresses. (a) Draw the Mohr circle that describes the 2D stress state and find the maximum shear stress that acts on the soil element. (b) Deteremine the angle of the plane on which the maximum shear stress (Tmax) acts and obtain the normal stress on that plane (find the pole first). (c) Confirm the maximum shear stress and the normal stress from (b) using the stress transformation equations. (d) Explain why the failure of soil does not on the Tmax plane.
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