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.

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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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

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

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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