The vertical compressive stress at a point in a soil is 100 kN/m² while the horizontal compressive stress at the same point is 62 kN/m². Both stresses are principal stress. (a) Draw the Mohr circle that describes the 2D stress state at the point (hand sketch is ok). (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 - the method is simplified since the stresses given in the problem are principal stresses). (d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal
compressive stress at the same point is 62 kN/m². Both stresses are principal stress.
(a) Draw the Mohr circle that describes the 2D stress state at the point (hand sketch is
ok).
(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 - the method is simplified since
the stresses given in the problem are principal stresses).
(d) Confirm the maximum shear stress and the normal stress from (c) using the stress
transformation equations (consider sign conventions!).
Transcribed Image Text:The vertical compressive stress at a point in a soil is 100 kN/m2 while the horizontal compressive stress at the same point is 62 kN/m². Both stresses are principal stress. (a) Draw the Mohr circle that describes the 2D stress state at the point (hand sketch is ok). (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 - the method is simplified since the stresses given in the problem are principal stresses). (d) Confirm the maximum shear stress and the normal stress from (c) using the stress transformation equations (consider sign conventions!).
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Solid mechanics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning