Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN: 9781337705028
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 3, Problem 3.21P
To determine
Show that the value of K for the rectangular vane according to first principles is
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Numerical Analysis (HW. #1)
The vertical stress increment (Ao) due to a point load acting on the surface of
linearly elastic medium is given as:
3P23
Ao
27Vr? + z?
where P is the magnitude of the load, r is the lateral distance, and z is the depth of the
point where the stress is to be calculated. If P = 10g kN and r =
using two methods: fixed-point and Newton-Raphson method) the depth z at which
the stress increment Ao = 10n kN/m?. (Take g=student group number A=1, B=2,
1.5 m, determine (by
C=3, D=4, and E=5, n=student number in his/her group, and & =1x10-6)
The vertical stress increment (Ao) due to a point load acting on the surface of
linearly elastic medium is given as:
g = 4
n = 17
3P23
27vr? +2
where P is the magnitude of the load, r is the lateral distance, and z is the depth of the
point where the stress is to be calculated. If P = 10g kN andr = 1.5 m, determine (by
using two methods: fixed-point and Newton-Raphson method) the depth z at which
the stress increment Ao= 10n kN/m2. (Take g=student group number A-1, B=2,
C=3, D=4, and E=5, n=student number in his/her group, and ɛ =1x10-6)
4. A beam of rectangular cross section 40 mm by 100 mm is carrying a bending
moment of M = 21 kN.m about its strong axis. Determine the residual stresses
following removal of the bending moment (show the residual stress
distribution).
Consider oy = 240 MPa, and E = 200 GPa.
Solution:
100 mm
40 mm
Chapter 3 Solutions
Principles of Foundation Engineering (MindTap Course List)
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Refer to Figure P3.3. Use Eqs. (3.10) and (3.11)...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31P
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