Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

p9.48 The beam cross section shown in Figure P9.48 is subjected
to a shear force V = 12 kips. The dimensions of the cross
section are b = 18 in., d = 10 in., and t = 0.4 in. Using a = 3 in.,
calculate the shear stress magnitude at sections 1–1, 2–2, and 3–3.
p9.51 The angle shown in Figure P9.51 is subjected to a vertical
shear force V = 3.5 kips. Sketch the distribution of shear flow along
the leg AB. Indicate the numerical value at all peaks.
3
1
a
y
2a
2
A
5 in. 5 in.
3
1
2
45°
45°
t
(typ.)
z
V
d
0.25 in.
B
V
FIGURE p9.51
b
2
FIGURE p9.48
p9.49 The beam cross section shown in Figure P9.49 is subjected
to a shear force V = 12 kips. The dimensions of the cross
section are b = 4 in., d = 7 in., a = 2 in., and t = 0.25 in. Calculate
the shear stress magnitude at sections 1–1, 2–2, and 3–3. Calculate
the maximum shear stress.
b
2
p9.52 The vertical shear force V acts on the thin-walled section
shown in Figure P9.52. Sketch the shear flow diagram for the cross
section. Assume that the wall thickness of the section is constant.
y
d
a
3
3
z
1
y
b
1
z
r
V
t
FIGURE p9.52
a
2
t
(typ)
p9.53 Determine the location of the shear center O for the cross
section shown in Figure P9.53.
b
2
2
b
2
FIGURE p9.49
0.25 in.
p9.50 An extruded plastic beam with the cross section shown in
Figure P9.50 is subjected to a vertical shear force V = 850 N. The
centerline dimensions of the cross section are a = 20 mm, b = 40 mm,
d = 50 mm, and t = 3 mm. Determine the shear stress magnitude
that acts in the shape at points A–E.
O
0.25 in.
e
6 in.
B
y
A
P
0.25 in.
C
a
D
z
E
b
V
t
(typ.)
a
d
FIGURE p9.50
3 in.
FIGURE p9.53
p9.54 Determine the location of the shear center O for the cross
section shown in Figure P9.54. Assume a uniform thickness of
t = 4 mm for all portions of the cross section. Use a = 70 mm, b =
40 mm, and c = 90 mm.
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