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

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

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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