A beam is subjected to equal bending moments of M, = 52 kip-ft. The cross-sectional dimensions are bị = 9.1 in., dı = 1.3 in., b2 = 0.50 in, d2 = 6.4 in., b3 = 3.0 in., and dz = 2.3 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. K 'p - M2 M. dz bz dz by Answer: (a) 5= i in. 1- i in.+ 5= i on.3 (b) ƠH = i ksi (c) OK = i ksi (d) Omax ksi
A beam is subjected to equal bending moments of M, = 52 kip-ft. The cross-sectional dimensions are bị = 9.1 in., dı = 1.3 in., b2 = 0.50 in, d2 = 6.4 in., b3 = 3.0 in., and dz = 2.3 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. K 'p - M2 M. dz bz dz by Answer: (a) 5= i in. 1- i in.+ 5= i on.3 (b) ƠH = i ksi (c) OK = i ksi (d) Omax ksi
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A beam is subjected to equal bending moments of M, = 52 kip-ft. The cross-sectional dimensions are b1 = 9.1 in., dı = 1.3 in., bz = 0.50
in, d2 = 6.4 in., b3 = 3.0 in., and dz = 2.3 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.
y|
K
M.
H
dz
b3
Answer:
(a) j=
in.
z= i
in.+
S=
on. 3
i
(b) OH = i
ksi
(c) OK = i
ksi
(d) Omax
ksi
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