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MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
9th Edition
ISBN: 9781305971264
Author: Braja M. Das; Khaled Sobhan
Publisher: Cengage Learning US
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Chapter 15, Problem 15.11P
To determine
Find the height (H) of the slope that will have a factor of safety of 2.95 against sliding.
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The vertical stress at a point in soil is σx =400 kN/m², Txz = 50kN/m² while the
horizontal stress at the same point is σ =100 kN/m², Tzx = -50kN/m².
(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 and its orientation angle
from the horizontal plane.
(c) Find the principal stress (σ₁ and σ3) that acts at the point and locate the major
principal stress plane and its orientation angle from the horizontal plane (Use the
pole method).
(d) Determine both the normal and shear stress at a plane that orientates from the
major principal stress plane with an angle of 30° (counterclockwise direction) and
verify your results with the stress transformation equations.
2: A billboard 2 m high x 4 m wide is supported on each end by a pin jointed assembly (bracing not shown for simplification). Total weight of billboard is 32 kN. Given: H = 1m; Angle φ = 60⁰; q = 2.4 kPa.1. Determine the normal stress (MPa) in strut AB with crosssectional dimension 6 mm x 50 mm.2. Determine the normal stress (MPa) in strut BC with crosssectional dimension 8 mm x 40 mm.3. Determine the required diameter (mm) of pin (under double shear) to be used in A or C if the allowable shear stress of the pin is 120 MPa.
A total load of 900 kN is uniformly distributed over a rectangular footing of size 2
mx3 m. Find the vertical stress at a depth of 1.0 m below the footing at point C,
under one corner, and D, under the center. If another footing of size 1 m × 3 m with
a total load of 450 kN is constructed adjoining the previous footing, what is the
vertical stress at the corner point E at the same depth due to the construction of
these two footings.
k
3 m
1m
2m
E
3 m
Chapter 15 Solutions
MindTap Engineering for Das/Sobhan's Principles of Geotechnical Engineering, SI Edition, 9th Edition, [Instant Access], 2 terms (12 months)
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Prob. 15.16PCh. 15 - Prob. 15.17PCh. 15 - Prob. 15.18PCh. 15 - Prob. 15.19PCh. 15 - Prob. 15.20PCh. 15 - Prob. 15.21PCh. 15 - Prob. 15.22PCh. 15 - Prob. 15.23PCh. 15 - Prob. 15.27PCh. 15 - Prob. 15.28PCh. 15 - Prob. 15.29PCh. 15 - Prob. 15.30PCh. 15 - Prob. 15.31PCh. 15 - Prob. 15.32P
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