Principles Of Geotechnical Engineering, Si Edition
9th Edition
ISBN: 9781305970953
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 15, Problem 15.29P
To determine
Find the factor of safety
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Calculate the collapse load (P) for the two fixed ended beam shown below.
P
2 m
4 m
L=6m
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.
Chapter 15 Solutions
Principles Of Geotechnical Engineering, Si Edition
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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