H.W 1A beam is subjected to equal bending moments of M = 45 kip -ft, as shown in Figure 1a. The cross-sectional dimen- sions (Figure 1b) are b, 7.5 in., d 1.5 in., by 0.75 in., dz = 6,0 in., by = 3.0 in., and dy = 2.0 in. Determine (a) the centroid location, the moment of inertia about the z axis, M. and the controlling section modulus about the z axis. (b) the bending stress at point H. State whether the normal stress at H is tension or compression. (c) the bending stress at point K. State whether the normal stress at K is tension or compression. (d) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. MA by FIGURE 1.a FIGURE 1.6

Structural Analysis
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Chapter2: Loads On Structures
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H.W 1 A beam is subjected to equal bending moments of M. =
45 kip ft, as shown in Figure 1a.
sions (Figure 1b) are b, =7.5 in., d = 1.5 in., b2 = 0.75 in., dz =
6.0 in., by = 3.0 in., and dy = 2.0 in. Determine
The cross-sectional dimen-
K
M.
(a) the centroid location, the moment of inertia about the z axis,
and the controlling section modulus about the z axis.
(b) the bending stress at point H. State whether the normal stress
at H is tension or compression.
(c) the bending stress at point K. State whether the normal stress
at K is tension or compression.
(d) the maximum bending stress produced in the cross section.
State whether the stress is tension or compression.
by
M.
d
FIGURE 1.a
FIGURE 1.b
Transcribed Image Text:H.W 1 A beam is subjected to equal bending moments of M. = 45 kip ft, as shown in Figure 1a. sions (Figure 1b) are b, =7.5 in., d = 1.5 in., b2 = 0.75 in., dz = 6.0 in., by = 3.0 in., and dy = 2.0 in. Determine The cross-sectional dimen- K M. (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. State whether the normal stress at H is tension or compression. (c) the bending stress at point K. State whether the normal stress at K is tension or compression. (d) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. by M. d FIGURE 1.a FIGURE 1.b
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