The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal compressive stress at the same point is 57 kN/m2. Both stresses are principle stress. (a) Draw the Mohr circle that describes the 2D stress state at the point. (b) Find the maximum shear stress that acts at the point. (c) Determine the angle of the plane on which the maximum shear stress acts and obtain the normal stress on that plane (Use the pole method). (d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!). Question 3The vertical compressive stress at a point in a soil is 100 kN/m? while the horizontalcompressive stress at the same point is 57 kN/m2. Both stresses are principle stress.(a) Draw the Mohr circle that describes the 2D stress state at the point.(b) Find the maximum shear stress that acts at the point.(c) Determine the angle of the plane on which the maximum shear stress acts and obtainthe normal stress on that plane (Use the pole method).(d) Confirm the maximum shear stress and the normal stress from (c) using the stresstransformation equations (consider sign conventions!).

Principal stresses are the highest and minimum values of normal stresses on a plane with no shear…

Answered: Question 3 The vertical compressive…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal compressive stress at the same point is 57 kN/m2. Both stresses are principle stress.

(a) Draw the Mohr circle that describes the 2D stress state at the point.

(b) Find the maximum shear stress that acts at the point.

(c) Determine the angle of the plane on which the maximum shear stress acts and obtain the normal stress on that plane (Use the pole method).

(d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!).

Question 3
The vertical compressive stress at a point in a soil is 100 kN/m? while the horizontal
compressive stress at the same point is 57 kN/m2. Both stresses are principle stress.
(a) Draw the Mohr circle that describes the 2D stress state at the point.
(b) Find the maximum shear stress that acts at the point.
(c) Determine the angle of the plane on which the maximum shear stress acts and obtain
the normal stress on that plane (Use the pole method).
(d) Confirm the maximum shear stress and the normal stress from (c) using the stress
transformation equations (consider sign conventions!).

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