Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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Chapter 2, Problem 8P
The population of a country as a function of time is shown in the following table. Is the growth exponential?
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A 5 m high smooth vertical wall retains a clay backfill with c = 13 kN/m², ' -25°, and y = 17.0 kN/m³. The clay is in active state.
a. Determine the maximum tensile stress within the clay.
(Enter your answer to three significant figures.)
σα
=
kN/m²
b. Determine the depth of the tensile cracks.
(Enter your answer to three significant figures.)
Zo
=
m
c. Determine the magnitude and location of the active thrust, neglecting the tensile zone.
(Enter your answers to three significant figures.)
Pa
x =
=
kN/m²
m
A composite beam is fabricated by bolting two 3.1-in.-wide by 14-in.-deep timber planks to the sides of a 0.4-in. by 14-in. steel plate.
The moduli of elasticity of the timber and the steel are 1940 ksi and 30300 ksi, respectively. The simply supported beam spans a
distance of 21 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD = 5 ft, Lgc = 11 ft, b = 3.1 in., d = 14
in. and t = 0.4 in.
(a) Determine the maximum bending stresses σ,, σ, produced in the timber planks and the steel plate if P = 2.1 kips.
(b) Assume that the allowable bending stresses of the timber and the steel are 830 psi and 24900 psi, respectively. Determine the
largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
LAB
B
Answers:
LCD
LBC
b
Cross section
D
ksi, σ, =
i
ksi.
(a) σ,
=
(b) P= i
i
kips.
The internal shear force at a certain section of a steel beam is V = 107 kips. If the beam has the cross section shown, determine the
shear stress at point H, which is located 2 in. below the top surface of the flanged shape. The centroid is 5.283 in. above the bottom
surface of the beam, and the moment of inertia about the z axis is 465.8 in.4.
5 in.
2 in.
H
业
1 in.
1 in.
12 in.
8 in.
1 in.
11.51 ksi
O 9.72 ksi
8.34 ksi
6.03 ksi
○ 7.73 ksi
Chapter 2 Solutions
Sustainable Energy
Ch. 2 - A quantity has a doubling time of 110 years....Ch. 2 - The population of a particular country has a...Ch. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - The total world population in 2012 was about 7...Ch. 2 - The population of a state is 25,600 in the year...Ch. 2 - The population of a country as a function of time...Ch. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - Prob. 11P
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