A thin layer of clay subjected to drying develops internal shrinkage stresses. The state of effective stress at a point in this layer is shown in the figure (a) below. Plane stress condition can be assumed for this problem. Elastic modulus, E of clay is 15 MPa and Poisson's ratio, v is 0.35. Hooke's law is valid during drying, meaning that (0, – vo,) where ɛ,is the strain in x direction. 12 kPa 19 kPa Txiy1 46 kPa le = 15° (a) Before curling (b) After curling

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
A thin layer of clay subjected to drying develops internal shrinkage stresses. The
state of effective stress at a point in this layer is shown in the figure (a) below. Plane
stress condition can be assumed for this problem. Elastic modulus, E of clay is 15
MPa and Poisson's ratio, v is 0.35. Hooke's law is valid during drying, meaning that
(o,- vo,)
*3
where s,is the strain in x direction.
12 kPa
19 kPa
Tx1y1
46 kPa
15°
(a) Before curling
(b) After curling
Transcribed Image Text:A thin layer of clay subjected to drying develops internal shrinkage stresses. The state of effective stress at a point in this layer is shown in the figure (a) below. Plane stress condition can be assumed for this problem. Elastic modulus, E of clay is 15 MPa and Poisson's ratio, v is 0.35. Hooke's law is valid during drying, meaning that (o,- vo,) *3 where s,is the strain in x direction. 12 kPa 19 kPa Tx1y1 46 kPa 15° (a) Before curling (b) After curling
a) If the clay layer curls during drying rotating the element as shown above in
figure (b) in the clockwise direction by 15°, calculate the stresses acting on the
planes.
b) Draw the Mohr's circle for the stresses after curling and use it to find the
principal stresses and maximum shear stress.
c) Determine the change in maximum shear stress before and after curling.
d) Determine the factor of safety against failure according to Mohr-Coulomb
criterion at this point in soil assuming the shear strength parameters of c' =
60 kPa and Ø'= 35°.
e) Determine the factor of safety in terms of strain in x direction, if clay fails at a
strain of 3%.
Transcribed Image Text:a) If the clay layer curls during drying rotating the element as shown above in figure (b) in the clockwise direction by 15°, calculate the stresses acting on the planes. b) Draw the Mohr's circle for the stresses after curling and use it to find the principal stresses and maximum shear stress. c) Determine the change in maximum shear stress before and after curling. d) Determine the factor of safety against failure according to Mohr-Coulomb criterion at this point in soil assuming the shear strength parameters of c' = 60 kPa and Ø'= 35°. e) Determine the factor of safety in terms of strain in x direction, if clay fails at a strain of 3%.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Methods to Determine Vertical Stress
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