A beam is subjected to equal bending moments of M₂ = 49 kip.ft. The cross-sectional dimensions are b₁ = 8.9 in., d₁ = 1.1 in., b₂ = 0.80 in., d₂ = 5.8 in., b3 = 2.4 in., and d3 = 2.1 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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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Answer:
(a) y=
in.
1₂=
in.4
S=
3
on.
(b) 6Η
=
ksi
(c) Ok=
ksi
(d) Omax=
i
ksi
Transcribed Image Text:Answer: (a) y= in. 1₂= in.4 S= 3 on. (b) 6Η = ksi (c) Ok= ksi (d) Omax= i ksi
A beam is subjected to equal bending moments of M₂ = 49 kip-ft. The cross-sectional dimensions
are b₁ = 8.9 in., d₁ = 1.1 in., b₂ = 0.80 in., d₂ = 5.8 in., b3 = 2.4 in., and d3 = 2.1 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
Z
M₂
X
Z
b₂
H
K
b₁
y|
b3
Cd₁
d₂
dz
Transcribed Image Text:A beam is subjected to equal bending moments of M₂ = 49 kip-ft. The cross-sectional dimensions are b₁ = 8.9 in., d₁ = 1.1 in., b₂ = 0.80 in., d₂ = 5.8 in., b3 = 2.4 in., and d3 = 2.1 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 Z M₂ X Z b₂ H K b₁ y| b3 Cd₁ d₂ dz
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