A beam is subjected to equal bending moments of M₂ = 57 kip-ft. The cross-sectional dimensions are b₁ = 7.1 in., d₁ = 1.2 in., b₂ = 0.70 in., d₂ = 5.6 in., b3 = 2.8 in., and d3 = 2.2 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: N M₂ b₂ H K b₁ y b3 Id₁ d₂ d3
A beam is subjected to equal bending moments of M₂ = 57 kip-ft. The cross-sectional dimensions are b₁ = 7.1 in., d₁ = 1.2 in., b₂ = 0.70 in., d₂ = 5.6 in., b3 = 2.8 in., and d3 = 2.2 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: N M₂ b₂ H K b₁ y b3 Id₁ d₂ d3
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Give the correct solution and box the final answer. Write it on clean paper clearly.
Take note: Give what is asked and show your answer. Use 4 decimal places as your final answer.
Transcribed Image Text:A beam is subjected to equal bending moments of M₂ = 57 kip-ft. The cross-sectional dimensions are b₁ = 7.1 in., d₁ = 1.2 in., b₂ = 0.70
in., d2 = 5.6 in., b3 = 2.8 in., and d3 = 2.2 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= i
¹₂= i
S = i
(b) OH = i
(c) OK= i
(d) Omax
i
N
in.
in.4
on.3
ksi
ksi
ksi
M₂
X
Z
b₂
H
K
b₁
y
b3
Id₁
d₂
dz
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