A thin layer of clay subjected to drying develops internal shrinkage stresses. Thestate of effective stress at a point in this layer is shown in the figure (a) below. Planestress condition can be assumed for this problem. Elastic modulus, E of clay is 15MPa and Poisson's ratio, v is 0.35. Hooke's law is valid during drying, meaning that(o,- vo,)*3where s,is the strain in x direction.12 kPa19 kPaTx1y146 kPa15°(a) Before curling(b) After curling a) If the clay layer curls during drying rotating the element as shown above infigure (b) in the clockwise direction by 15°, calculate the stresses acting on theplanes.b) Draw the Mohr's circle for the stresses after curling and use it to find theprincipal 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-Coulombcriterion 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 astrain of 3%.

generally, if the stress state at an object particle is that act only non-zero stress components…

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

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

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

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

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%.

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