A beam is carrying a moment M as indicated. The cross section of the beam is symmetric about the z axis. The dimensions of the cross section and the location of the centroid (point C) are shown. Knowing that Iy = 280,000 mm4 , Iz = 150,000 mm4 , and M = 400,000 + UV in N.mm, where UV is 21 (a) Calculate the components of the bending moment on the y and z axes, My and Mz . (b) Identify which point at the cross section has the largest tensile stress, and which point at the cross section has the largest compressive stress.
A beam is carrying a moment M as indicated. The cross section of the beam is symmetric about the z axis. The dimensions of the cross section and the location of the centroid (point C) are shown. Knowing that Iy = 280,000 mm4 , Iz = 150,000 mm4 , and M = 400,000 + UV in N.mm, where UV is 21 (a) Calculate the components of the bending moment on the y and z axes, My and Mz . (b) Identify which point at the cross section has the largest tensile stress, and which point at the cross section has the largest compressive stress.
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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Question
A beam is carrying a moment M as indicated. The cross section of the
beam is symmetric about the z axis. The dimensions
of the cross section and the location of the centroid
(point C) are shown. Knowing that Iy = 280,000
mm4
, Iz = 150,000 mm4
, and M = 400,000 + UV in
N.mm, where UV is 21
(a) Calculate the components of the bending
moment on the y and z axes, My
and Mz
.
(b) Identify which point at the cross section has the
largest tensile stress, and which point at the
cross section has the largest compressive stress.
(c) Calculate the maximum tensile stress and the
maximum compressive stress in the cross
section
Transcribed Image Text:z ←
y.
12 mm
k
C
30 mm
40°
→
50 mm
M
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