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

p8.22 A WT305 × 41 standard steel shape is used to support the
loads shown on the beam in Figure P8.22a. The dimensions from
the top and bottom of the shape to the centroidal axis are shown on
the sketch of the cross section (Figure P8.22b). Consider the entire
4.8 m length of the beam, and determine
10 in.
y
2 in.
(a) the maximum tensile bending stress at any location along the
beam and
(b) the maximum compressive bending stress at any location
along the beam.
z
2 in.
8 in.
2 in.
6 in.
50 kN/m
FIGURE p8.23b
A
B
1.2 m
FIGURE p8.22a
C
2.4 m 1.2 m
D
p8.24 The steel beam in Figure P8.24a/25a has the cross section
shown in Figure P8.24b/25b. The beam length is L = 22 ft, and the
cross-sectional dimensions are d = 16.3 in., b f = 10.0 in., t f = 0.665 in.,
and t w = 0.395 in. Calculate the maximum bending stress in the
beam if w 0 = 6 kips/ft.
y
z
88.9 mm
y
w 0
211.1 mm
x
A B C
WT305 × 41
FIGURE p8.22b
L
2
FIGURE p8.24a/25a
L
2
p8.23 A flanged wooden shape is used to support the loads
shown on the beam in Figure P8.23a. The dimensions of the shape
are shown in Figure P8.23b. Consider the entire 18 ft length of the
beam, and determine
b f
y
t f
(a) the maximum tensile bending stress at any location along the
beam and
(b) the maximum compressive bending stress at any location
along the beam.
t w
z
d
1,800 lb 2,100 lb
FIGURE p8.24b/25b
800 lb/ft
A
FIGURE p8.23a
7 ft 3 ft
B C D E
4 ft 4 ft
p8.25 The steel beam in Figure P8.24a/25a has the cross section
shown in Figure P8.24b/25b. The beam length is L = 6.0 m, and the
cross-sectional dimensions are d = 350 mm, b f = 205 mm, t f =
14 mm, and t w = 8 mm. Calculate the largest intensity of distributed
load w 0 that can be supported by this beam if the allowable bending
stress is 200 MPa.
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