A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are b1 = 6.5 in., d1 = 1.0 in., b2 = 0.95 in., d2 = 5.0 in., b3 = 2.0 in., and d3 = 1.5 in. 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. A beam is subjected to equal bending momentsof M₂ = 44 kip.ft. The cross-sectionaldimensions are b₁ = 6.5 in., d₁ = 1.0 in., b₂ = 0.95in., d₂ = 5.0 in., b3 = 2.0 in., and d3 = 1.5 in.Determine:(a) the centroid location (measured withrespect to the bottom of the cross-section), themoment of inertia about the z axis, and thecontrolling section modulus about the z axis.(b) the bending stress at point H. Tensile stressis positive, while compressive stress is negative.(c) the bending stress at point K. Tensile stressis positive, while compressive stress is negative.(d) the maximum bending stress produced inthe cross section. Tensile stress is positive,while compressive stress is negative.M₂Answer:(a) y=|₂=NS =(b) OH =(c) OK==(d) Omax =M₂Kbyb₁byin.in.4on.³ksiksiksid₁d₂d₂

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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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A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are b1 = 6.5 in., d1 = 1.0 in., b2 = 0.95 in., d2 = 5.0 in., b3 = 2.0 in., and d3 = 1.5 in. 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.

A beam is subjected to equal bending moments
of M₂ = 44 kip.ft. The cross-sectional
dimensions are b₁ = 6.5 in., d₁ = 1.0 in., b₂ = 0.95
in., d₂ = 5.0 in., b3 = 2.0 in., and d3 = 1.5 in.
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
Answer:
(a) y=
|₂=
N
S =
(b) OH =
(c) OK=
=
(d) Omax =
M₂
K
by
b₁
by
in.
in.4
on.³
ksi
ksi
ksi
d₁
d₂
d₂

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