Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, t+= 20 mm,
d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine
(a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section
modulus about the z axis.
(b) the bending stress at point H (positive if tensile and negative if compressive).
(c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section.
M
Answers:
(a) y =
1/₂ =
S=
(b) 0μ =
(c) Gmax
=
M
88.684210526316
14.560153508772
164.179772502473
-31.213522847594
66.999727386236
X
H
mm
(10%) mm4
(10³) mm³
MPa
Cross section
MPa
bf
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Transcribed Image Text:A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, t+= 20 mm, d = 150 mm, tw = 35 mm. The cross-sectional dimensions of the beam are also shown. Determine (a) the centroid location (measured upward from the bottom), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H (positive if tensile and negative if compressive). (c) the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. M Answers: (a) y = 1/₂ = S= (b) 0μ = (c) Gmax = M 88.684210526316 14.560153508772 164.179772502473 -31.213522847594 66.999727386236 X H mm (10%) mm4 (10³) mm³ MPa Cross section MPa bf
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