a) Determine the magnitudes, and senses of the direct and shear stresses which

Principles of Foundation Engineering (MindTap Course List)
9th Edition
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Author:Braja M. Das, Nagaratnam Sivakugan
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Chapter8: Vertical Stress Increase In Soil
Section: Chapter Questions
Problem 8.6P: Two line loads q1 and q2 of infinite lengths are acting on top of an elastic medium, as shown in...
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Question 1
The biaxial stress element of an isotropic and homogenous material is loaded as
shown in figure 1 below.
Y
Oxz =185 MPa
Ty =
3D 60 MPа
25°
o =180 MPa
yz
Figure 1
(a) Determine the magnitudes, and senses of the direct and shear stresses which
act on the inclined plane as shown in figure 1 using the First Principle
method.
(b) Using the standard formulae, determine for the element of stressed,
homogeneous, isotropic material, shown in figure 1, the following:
(i)
The magnitudes of principal stresses and their associated planes
relative to the x-axis for positive angles.
The magnitudes of maximum shear stresses and their associated
planes relative to the x-axis for positive angles.
Magnitudes of direct and shear stresses acting on the inclined plane.
(ii)
(ii)
Transcribed Image Text:Question 1 The biaxial stress element of an isotropic and homogenous material is loaded as shown in figure 1 below. Y Oxz =185 MPa Ty = 3D 60 MPа 25° o =180 MPa yz Figure 1 (a) Determine the magnitudes, and senses of the direct and shear stresses which act on the inclined plane as shown in figure 1 using the First Principle method. (b) Using the standard formulae, determine for the element of stressed, homogeneous, isotropic material, shown in figure 1, the following: (i) The magnitudes of principal stresses and their associated planes relative to the x-axis for positive angles. The magnitudes of maximum shear stresses and their associated planes relative to the x-axis for positive angles. Magnitudes of direct and shear stresses acting on the inclined plane. (ii) (ii)
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