Determine the distance in the y-direction from the centroid of the cross-section to point H, to point K, and to the point of maximum bending stress. Take care to use appropriate signs.
Determine the distance in the y-direction from the centroid of the cross-section to point H, to point K, and to the point of maximum bending stress. Take care to use appropriate signs.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Determine the distance in the y-direction from the centroid of the cross-section to point H, to point K, and to the point of
maximum bending stress. Take care to use appropriate signs.
Answer:
YH = i /-1018800
ук= i
Ymax= i
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Part 5
Answer:
OH = i
Ok=
Omax
i
in.
Determine the bending stress at point H, point K, and the maximum bending stress in the cross-section. Tensile stress is positive,
while compressive stress is negative.
i
in.
in.
ksi
ksi
Submit Answer
ksi
Transcribed Image Text:A beam is subjected to equal bending moments of M₂ = 30 kip-ft. The cross-sectional dimensions are b₁ = 8.1 in., d₁ = 1.4 in., b₂ = 0.60
in., d₂ = 5.0 in., b3 = 3.4 in., and d3 = 2.2 in. Determine:
(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. 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
N
y
M₂
X
Z
b₂
H
K
b₁
y
b3
d₁
d₂
dz
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Step 1: Introduce the problem statement
VIEWStep 2: Determine centroid of the section
VIEWStep 3: Compute moment of inertia
VIEWStep 4: Compute section modulus
VIEWStep 5: Compute bending stress at point H
VIEWStep 6: Compute bending stress at point K
VIEWStep 7: Compute maximum bending stresses
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