Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 17, Problem 17.11P
To determine
Find the elastic settlement of the foundation.
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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 17 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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- A beam is subjected to equal bending moments of M₂ = 59 kip-ft. The cross-sectional dimensions are b₁ = 7.5 in., d₁ = 1.4 in., b₂ = 0.55 in., d₂ = 5.0 in., b3 = 3.2 in., and d3 = 1.5 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ Z M₂ Answer: (a) y= i Iz= in. in.4 S= i on,3 (b) σH= i ksi (c) OK = i ksi (d) σmax= ksi K b₁ d₁ H b₂ b3 d₂ d3arrow_forwardA cantilever timber beam with a span of L = 2.9 m supports a uniformly distributed load w. The beam width is b = 300 mm and the beam height is h = 160 mm. The allowable bending stress of the wood is 7 MPa. Determine the magnitude of the maximum load w that may be carried by the beam. Answer: w= I i kN/m.arrow_forwardAW18 × 40 standard steel shape is used to support the loads shown on the beam. Assume P = 24 kips, w = 4.4 kips/ft, LAB = 4.6 ft, LBC = 4.6 ft, and LCD = 15.0 ft. Determine the magnitude of the maximum bending stress in the beam. B C Answer: LAB ✓ LBC Omax i ksi W LCD xarrow_forward
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