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

b
t
O
e
t (typ.)
c
O
h
2
b
e
h
2
a
FIGURE p9.54
b
FIGURE p9.57
p9.55 An extruded beam has the cross section shown in Figure
P9.55. Determine (a) the location of the shear center O and (b) the
distribution of shear stress created by a shear force V = 30 kN.
C
5 mm
B
p9.58 An extruded beam has the cross section shown in Figure
P9.58. The dimensions of this shape are b = 45 mm, h = 75 mm, and
t = 4 mm. Assume that the thickness t is constant for all portions of
the cross section. What is the distance e from the leftmost element
to the shear center O?
3 mm 3 mm
O D
A
e
G
5 mm
P E
F
30 mm
30 mm
80 mm
O
e
t
h
2h
55 mm
FIGURE p9.55
p9.56 An extruded beam has the cross section shown in Figure
P9.56. Using dimensions of b = 30 mm, h = 36 mm, and t = 5 mm,
calculate the location of the shear center O.
t
h
2
b
FIGURE p9.58
p9.59 Determine the location of the shear center of the cross
section shown in Figure P9.59. Use dimensions of a = 50 mm, b =
100 mm, h = 300 mm, and t = 5 mm. Assume that the thickness t is
constant for all portions of the cross section.
O
e
h
2
h
2
O
e
t
h
h
2
b
FIGURE p9.56
a
b
FIGURE p9.59
p9.57 An extruded beam has the cross section shown in Figure
P9.57. For this shape, use dimensions of b = 50 mm, h = 40 mm,
and t = 3 mm. What is the distance e to the shear center O?
p9.60 Locate the shear center of the cross section shown in Figure
P9.60. Assume that the web thickness is the same as the flange
thickness.
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