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

p9.36 A plastic extrusion has the shape shown in Figure P9.36,
where b 1 = 80 mm, b 2 = 50 mm, d = 65 mm, and t = 2 mm. A vertical
shear force V = 600 N acts on the cross section. Determine the
shear flow magnitude and the shear stress magnitude that act in the
shape
(a) at section 1–1.
(b) at section 2–2.
(c) at section 3–3 for a = 15 mm.
z
V
t
1
b 1
y
1
b 2
2
2
3
3
a
t
FIGURE p9.36
p9.37 Three plates are welded together to form the section shown
in Figure P9.37. The dimensions of the cross section are b = 4 in.,
d = 12 in., a = 3 in., and t = 0.5 in. For a vertical shear force V =
35 kips, determine the shear flow through the welded surface at B.
y
t
d
p9.39 An aluminum extrusion has the shape shown in Figure
P9.39, where b = 60 mm, d = 90 mm, a = 20 mm, and t = 3 mm. A
vertical shear force V = 13 kN acts on the cross section. Determine
the shear stress in the shape
(a) at point A.
(b) at section 1–1.
(c) at section 2–2.
(d) at section 3–3.
(e) at section 4–4.
(f) at the neutral axis.
d
a
a
A
2
2
1 1
z
b
2
4
3
3
b
y
4
b
2
t
(typ)
FIGURE p9.39
p9.40 The U shape shown in Figure P9.40 has dimensions b =
250 mm, d = 120 mm, t f = 19 mm, and t w = 11 mm. A vertical shear
force V = 130 kN acts on the cross section. Determine the shear
stress at points A–E. Assume that a = 80 mm.
t f
t f
t
A
z
B
V
a
d
d
t w
z
y
E
D
C
a
A
B
b
t
b
FIGURE p9.37
b
2
b
2
FIGURE p9.40
p9.38 An aluminum extrusion has the shape shown in Figure
P9.38, where b = 36 mm, d = 50 mm, a = 12 mm, and t = 3 mm. A
vertical shear force V = 1,700 N acts on the cross section. Determine
the shear flow that acts in the shape at points A–D.
t
p9.41 The channel shape shown in Figure P9.41 has dimensions
b = 6.0 in., d = 3.0 in., a = 1.5 in., c = 2.0 in., and t = 0.25 in. A vertical
shear force V = 47,000 lb acts on the cross section. Determine
(a) the shear flow that acts in the shape at points A–G.
(b) the resultant horizontal force that acts between points A and B.
a
a
a
t
A
B
y
z
D
C
b
t
t
d
FIGURE p9.38
d
t
(typ)
z
G
y
b
A
F
B
E
c
C
D
FIGURE p9.41
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