EBK ELEMENTARY SURVEYING
15th Edition
ISBN: 8220106714225
Author: GHILANI
Publisher: PEARSON
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Chapter 20, Problem 20.5P
To determine
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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 20 Solutions
EBK ELEMENTARY SURVEYING
Ch. 20 - Prob. 20.1PCh. 20 - What are developable surfaces?Ch. 20 - Prob. 20.3PCh. 20 - Prob. 20.4PCh. 20 - Prob. 20.5PCh. 20 - Prob. 20.6PCh. 20 - Prob. 20.7PCh. 20 - Prob. 20.8PCh. 20 - Prob. 20.9PCh. 20 - Prob. 20.10P
Ch. 20 - Prob. 20.11PCh. 20 - Prob. 20.12PCh. 20 - Prob. 20.13PCh. 20 - Prob. 20.14PCh. 20 - Prob. 20.15PCh. 20 - Prob. 20.16PCh. 20 - Prob. 20.19PCh. 20 - Prob. 20.20PCh. 20 - Prob. 20.21PCh. 20 - Prob. 20.22PCh. 20 - Prob. 20.23PCh. 20 - Prob. 20.24PCh. 20 - Prob. 20.27PCh. 20 - Prob. 20.28PCh. 20 - Prob. 20.29PCh. 20 - Prob. 20.30PCh. 20 - Prob. 20.31PCh. 20 - Prob. 20.32PCh. 20 - Prob. 20.33PCh. 20 - Prob. 20.34PCh. 20 - Prob. 20.35PCh. 20 - Prob. 20.36PCh. 20 - Prob. 20.37PCh. 20 - Prob. 20.39PCh. 20 - Prob. 20.40PCh. 20 - Prob. 20.41PCh. 20 - Prob. 20.42PCh. 20 - Prob. 20.43PCh. 20 - Prob. 20.44PCh. 20 - Prob. 20.45PCh. 20 - Prob. 20.46P
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- 8.8 onlyarrow_forward8.4 Consider a Poisson regression model for the number of social/recreational trips generated during a peak-hour period that is estimated by (see Eq. 8.3) BZ = -0.75 +0.025(household size) + 0.008(annual household income, in thousands of dollars) + 0.10(number of nonworking household members). Suppose a household has five members (three of whom work) and an annual income of $100,000. What is the expected number of peak-hour social/recreational trips, and what is the probability that the household will not make a peak-hour social/recreational trip?arrow_forward8.15 An origin-destination pair is connected by a route with a performance function t₁ = 8+ x1, and another with a function t₂ = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin-destination flow is 4000 veh/h, determine user-equilibrium and system-optimal route travel times, total travel time (in vehicle minutes), and route flows.arrow_forward
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