EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Textbook Question
Chapter 8, Problem 76RP
The cantilever beam AB will be installed so that the 60-mm side forms an angle b between 0 and 90° with the vertical. Knowing that the 600-N vertical force is applied at the center of the free end of the beam, determine the normal stress at point a when (a) β = 0, (b) β = 90°. (c) Also, determine the value of β for which the normal stress at point a is a maximum and the corresponding value of that stress.
Fig. P8.76
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13.38 Consider the attic of a home located in a hot climate.
The floor of the attic is characterized by a width of
L₁ = 8 m while the roof makes an angle of 0 = 30° from
the horizontal direction, as shown in the schematic.
The homeowner wishes to reduce the heat load to the
home by adhering bright aluminum foil (ε = 0.07) onto
the surfaces of the attic space. Prior to installation of
the foil, the surfaces are of emissivity & = 0.90.
Attic
A2, 82, T2 0 = 30°
A1, E1, T₁
土
L₁ = 8 m
(a) Consider installation on the bottom of the attic
roof only. Determine the ratio of the radiation heat
transfer after to before the installation of the foil.
(b) Determine the ratio of the radiation heat transfer
after to before installation if the foil is installed
only on the top of the attic floor.
(c) Determine the ratio of the radiation heat transfer if
the foil is installed on both the roof bottom and the
floor top.
13.1
Determine F2 and F2 for the following configura-
tions using the reciprocity theorem and other basic
shape factor relations. Do not use tables or charts.
(a) Small sphere of area A, under a concentric hemi-
sphere of area A₂ = 3A₁
A₂
A1
(a)
(b) Long duct. Also, what is F₁₂?
A₂
Αν
(b)
(c) Long inclined plates (point B is directly above the
center of A₁)
B
100 mm
A₂
- 220 mm
(c)
(d) Long cylinder lying on infinite plane
+
A₁
Az
(d)
(e) Hemisphere-disk arrangement
-A₂, hemisphere,
diameter D
A₂
A₁, disk,
diameter D/2
(e)
(f) Long, open channel
1 m
AA₂
2 m
(f)
(g) Long cylinders with A₁ = 4A₁. Also, what is F₁₂?
-D₁
A1
-A₂
-D2
(e)
(h) Long, square rod in a long cylinder. Also, what
is F22?
w=D/5
18
A₁
-A2
(h)
-D
13.9 Determine the shape factor, F12, for the rectangles
shown.
6 m
1
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2
6 m
1
0.5 m
2
1 m
(a) Perpendicular rectangles
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(b) Parallel rectangles of
unequal areas.
Chapter 8 Solutions
EBK MECHANICS OF MATERIALS
Ch. 8.2 - A W10 = 39 rolled-steel beam supports a load P as...Ch. 8.2 - Solve Prob. 8.1, assuming that P = 22.5 kips and a...Ch. 8.2 - An overhanging W920 449 rolled-steel beam...Ch. 8.2 - Solve Prob. 8.3, assuming that P = 850 kN and a =...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.5 and 8.6 (a) Knowing that all = 160 MPa and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.7 and 8.8 (a) Knowing that all = 24 ksi and all...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...
Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Prob. 12PCh. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - 8.9 through 8.14 Each of the following problems...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Determine the smallest allowable diameter of the...Ch. 8.2 - Using the notation of Sec. 8.2 and neglecting the...Ch. 8.2 - The 4-kN force is parallel to the x axis, and the...Ch. 8.2 - The vertical force P1 and the horizontal force P2...Ch. 8.2 - The two 500-lb forces are vertical and the force P...Ch. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shaft AB rotates at 600 rpm and...Ch. 8.2 - The solid shafts ABC and DEF and the gears shown...Ch. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.2 - The solid shaft AE rotates at 600 rpm and...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - Two 1.2-kip forces are applied to an L-shaped...Ch. 8.3 - The cantilever beam AB has a rectangular cross...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - 8.34 through 8.36 Member AB has a uniform...Ch. 8.3 - Prob. 37PCh. 8.3 - Two forces are applied to the pipe AB as shown....Ch. 8.3 - Several forces are applied to the pipe assembly...Ch. 8.3 - The steel pile AB has a 100-mm outer diameter and...Ch. 8.3 - Three forces are applied to a 4-in.-diameter plate...Ch. 8.3 - The steel pipe AB has a 72-mm outer diameter and a...Ch. 8.3 - A 13-kN force is applied as shown to the...Ch. 8.3 - A vertical force P of magnitude 60 lb is applied...Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Prob. 46PCh. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Three forces are applied to the bar shown....Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Two forces are applied to the small post BD as...Ch. 8.3 - Three forces are applied to the machine component...Ch. 8.3 - Prob. 52PCh. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Three steel plates, each 13 mm thick, are welded...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Two forces P1 and P2 are applied as shown in...Ch. 8.3 - Prob. 57PCh. 8.3 - Four forces are applied to a W8 28 rolled-steel...Ch. 8.3 - A force P is applied to a cantilever beam by means...Ch. 8.3 - Prob. 60PCh. 8.3 - A 5-kN force P is applied to a wire that is...Ch. 8.3 - Knowing that the structural tube shown has a...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8.3 - The structural tube shown has a uniform wall...Ch. 8 - (a) Knowing that all = 24 ksi and all = 14.5 ksi,...Ch. 8 - Neglecting the effect of fillets and of stress...Ch. 8 - Knowing that rods BC and CD are of diameter 24 mm...Ch. 8 - The solid shaft AB rotates at 450 rpm and...Ch. 8 - A 6-kip force is applied to the machine element AB...Ch. 8 - A thin strap is wrapped around a solid rod of...Ch. 8 - A close-coiled spring is made of a circular wire...Ch. 8 - Forces are applied at points A and B of the solid...Ch. 8 - Knowing that the bracket AB has a uniform...Ch. 8 - For the post and loading shown, determine the...Ch. 8 - Knowing that the structural tube shown has a...Ch. 8 - The cantilever beam AB will be installed so that...
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