Structural Analysis (10th Edition)
10th Edition
ISBN: 9780134610672
Author: Russell C. Hibbeler
Publisher: PEARSON
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Question
Chapter 6, Problem 6.31P
To determine
(a)
Maximum negative shear at panel BC.
To determine
(b)
Maximum positive moment at B
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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
The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 33.6 ksi. Assume P = 70 kips.
L₁ = 2.2 ft, and L2 = 6.6 ft.
(a) Determine the minimum section modulus required for this beam.
(b) From the table below, select the lightest W shape that can be used for this beam.
(c) What is the total weight of the steel beam itself (ie, not including the loads that are carried by the beam)?
Lu
B
D
L2
L₁
Wide-Flange Sections or W Shapes-U.S. Customary Units
x
x
be
Web
Area Depth thickness
Flange
width
Flange
thickness
Designation
A
d
Tw
by
4
S₁
و"
in.²
in.
in.
in.
in.
in,4
in.³
in.
in.4
in,³
in.
W24 x 94
27.7
24.3
0.515
9.07
0.875
2700
222
9.87
109
24.0
1.98
24 x 76
22.4
23.9
0.440
8.99
0.680
2100
176
9.69
82.5
18.4
1.92
24 x 68
20.1
23.7
0.415
8.97
0.585
1830
154
9.55
70.4
15.7
1.87
24 x 55
16.2
23.6
0.395
7.01
0.505
1350
114
9.11
29.1
8.30
1.34
W21 x 68
20.0
21.1
0.430
8.27
0.685
1480
140
8.60
64.7
15.7
1.80
21 x 62
18.3
21.0
0.400
8.24
0.615
1330
127…
A composite beam is made of two brass [E=114 GPa] bars bonded to two aluminum [E = 74 GPa] bars, as shown. The beam is
subjected to a bending moment of 335 N-m acting about the z axis. Using a = 5 mm, b = 30 mm, c = 10 mm, and d = 20 mm, calculate
(a) the maximum bending stress in the aluminum bars.
(b) the maximum bending stress in the brass bars.
N
Aluminum
C
Brass
Brass
Aluminum
b
Answers:
(a) σal=
(b) Obr=
a
a
MPa
MPa
Chapter 6 Solutions
Structural Analysis (10th Edition)
Ch. 6 - Draw the influence lines for (a) the moment at C,...Ch. 6 - Prob. 6.2PCh. 6 - Prob. 6.3PCh. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10P
Ch. 6 - Prob. 6.11PCh. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - Prob. 6.17PCh. 6 - Prob. 6.18PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Prob. 6.21PCh. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - Prob. 6.26PCh. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Prob. 6.33PCh. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - Prob. 6.46PCh. 6 - Prob. 6.47PCh. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Prob. 6.51PCh. 6 - Prob. 6.52PCh. 6 - Prob. 6.53PCh. 6 - Prob. 6.54PCh. 6 - Prob. 6.55PCh. 6 - Prob. 6.56PCh. 6 - Prob. 6.57PCh. 6 - Prob. 6.58PCh. 6 - Prob. 6.59PCh. 6 - Prob. 6.60PCh. 6 - Prob. 6.61PCh. 6 - Prob. 6.62PCh. 6 - Prob. 6.63PCh. 6 - Prob. 6.64PCh. 6 - Prob. 6.65PCh. 6 - Prob. 6.66PCh. 6 - Prob. 6.67PCh. 6 - Prob. 6.68PCh. 6 - Prob. 6.69PCh. 6 - Prob. 6.70PCh. 6 - Prob. 6.71PCh. 6 - Prob. 6.72PCh. 6 - Prob. 6.73PCh. 6 - Prob. 6.74PCh. 6 - Prob. 6.75PCh. 6 - Prob. 6.76PCh. 6 - Prob. 6.77PCh. 6 - Prob. 6.78PCh. 6 - Prob. 6.79PCh. 6 - Prob. 6.80PCh. 6 - Prob. 6.81PCh. 6 - Prob. 6.82PCh. 6 - Prob. 6.83PCh. 6 - Prob. 6.84PCh. 6 - Prob. 6.1PPCh. 6 - Prob. 6.2PP
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