A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, tf = 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 = 1₂= S= (b) 0 = (c) max = M 88.684210526316 14.560153508772 164.179772502473 -31.213522847594 66.999727386236 H mm (10%) mm 4 (10³) mm³ MPa MPa by Cross section 4

A beam having a tee-shaped cross section is subjected to equal 11 kN-m bending moments, as shown. Assume bf= 105 mm, tf = 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 = 1₂= S= (b) 0 = (c) max = M 88.684210526316 14.560153508772 164.179772502473 -31.213522847594 66.999727386236 H mm (10%) mm 4 (10³) mm³ MPa MPa by Cross section 4

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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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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