A member having the dimensions shown is used to resist an nternal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as she b) about the y axis. Sketch the stress distribution for each case.
A member having the dimensions shown is used to resist an nternal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as she b) about the y axis. Sketch the stress distribution for each case.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.10.1P: Determine the shape factor f for a cross section in the shape of a double trapezoid having the...
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Question
![For the bending about z axis, c =
m
Mc
MPa
max
Iz
For the bending about y axis, c =
m
Mc
MPa
I
man z MPa
M.
KN-M
max r MPa.
M
kum
MPa
max r MPa
mar Z](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65d0b228-441a-4371-8d66-b2d3fccad1d7%2Fc287c22f-144f-414d-b3aa-297d59e0e5c8%2Fu25ot9e_processed.png&w=3840&q=75)
Transcribed Image Text:For the bending about z axis, c =
m
Mc
MPa
max
Iz
For the bending about y axis, c =
m
Mc
MPa
I
man z MPa
M.
KN-M
max r MPa.
M
kum
MPa
max r MPa
mar Z
![A member having the dimensions shown is used to resist an internal bending moment of M kNm.
Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown)
(b) about the y axis. Sketch the stress distribution for each case.
Take:
M=
90
kNm
A mm
A=
200
mm
B=
150
mm
B mm
Solution:
The moment of inertia of the cross-section about z and y axes are
I;-4
1
- AB³
12
(10) m*
I
BA =
(10) m*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65d0b228-441a-4371-8d66-b2d3fccad1d7%2Fc287c22f-144f-414d-b3aa-297d59e0e5c8%2Ffx7jhu_processed.png&w=3840&q=75)
Transcribed Image Text:A member having the dimensions shown is used to resist an internal bending moment of M kNm.
Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown)
(b) about the y axis. Sketch the stress distribution for each case.
Take:
M=
90
kNm
A mm
A=
200
mm
B=
150
mm
B mm
Solution:
The moment of inertia of the cross-section about z and y axes are
I;-4
1
- AB³
12
(10) m*
I
BA =
(10) m*
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