A beam is subjected to equal bending moments of Mz = 39 kip·ft. The cross-sectional dimensions are b1 = 6.7 in., d1 = 1.8 in., b2 = 0.75 in., d2 = 6.8 in., b3 = 2.6 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.
A beam is subjected to equal bending moments of Mz = 39 kip·ft. The cross-sectional dimensions are b1 = 6.7 in., d1 = 1.8 in., b2 = 0.75 in., d2 = 6.8 in., b3 = 2.6 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.
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter14: Material Selection
Section: Chapter Questions
Problem 5ETSQ
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A beam is subjected to equal bending moments of Mz = 39 kip·ft. The cross-sectional dimensions are b1 = 6.7 in., d1 = 1.8 in., b2 = 0.75 in., d2 = 6.8 in., b3 = 2.6 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.
Transcribed Image Text:M₂
M₂
K
b₂
H
b₁
b3
d₂
d3
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