A beam is subjected to equal bending moments of M₂ = 2800 N.m. The cross-sectional dimensions are b = 150 mm, c = 27 mm, d = 72 mm, and t = 8 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ M₂ x (typ) b H K d

A beam is subjected to equal bending moments of M₂ = 2800 N.m. The cross-sectional dimensions are b = 150 mm, c = 27 mm, d = 72 mm, and t = 8 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ M₂ x (typ) b H K d

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

A beam is subjected to equal bending moments of
M₂ = 2800 N.m. The cross-sectional dimensions
are b = 150 mm, c = 27 mm, d = 72 mm, and t = 8
mm. Determine:
(a) the centroid location (measured with respect to
the bottom of the cross-section), the moment of
inertia about the z axis, and the controlling section
modulus about the z axis.
(b) the bending stress at point H. Tensile stress is
positive, while compressive stress is negative.
(c) the bending stress at point K. Tensile stress is
positive, while compressive stress is negative.
(d) the maximum bending stress produced in the
cross section. Tensile stress is positive, while
compressive stress is negative.
M₂
M₂
(typ)
b
H
K

(a) y=
mm
|₂ =
i
mm4
S=
mm³
(b) OH =
i
MPa
(c) σκ =
i
MPa
(d) Omax
MPa
=

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