A beam is subjected to equal bending moments of Mz = 55kipft The cross-sectional dimensions are b1= 6.3 in.. d1 = 1.5in b2 = 0.6in d2 = 6.2in b3 = 2.8in and d3= 2.2in 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.
A beam is subjected to equal bending moments of Mz = 55kipft The cross-sectional dimensions are b1= 6.3 in.. d1 = 1.5in b2 = 0.6in d2 = 6.2in b3 = 2.8in and d3= 2.2in 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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A beam is subjected to equal bending moments of Mz = 55kipft The cross-sectional dimensions are b1= 6.3 in.. d1 = 1.5in b2 = 0.6in d2 = 6.2in b3 = 2.8in and d3= 2.2in 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
Z
D
M₂
X
Z
b₂
H
K
b₁
y
b3
Id,
d₁
d₂
dz
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