Answered: Part A - Stress-concentration factor…

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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Part A - Stress-concentration factor due to a circular cutout

Determine the stress-concentration factor KK due to the 15.0-mmmm-diameter circular cutout in the member. USE Figure A FOR SOLVİNG PROBLEM.

K=?

Part B - Stress-concentration factor due to the shoulder fillets

Determine the stress-concentration factor KK due to the 10.0-mmmm-radius shoulder fillets in the member. USE Figure B FOR SOLVİNG PROBLEM.

K=?

Part C - Maximum applicable axial force P

Using the information obtained about the stress-concentration factors in the member, determine the maximum applicable axial force PP that can be applied to the member.

Pmax=?

Part D - Maximum applicable axial force P without the circular cutout

Using the information obtained about the stress-concentration factors in the member, determine the maximum applicable axial force PP that can be applied to the member if the circular cutout is not present.

Pmax=?

Learning Goal:
To determine the effects of certain geometric shapes, namely fillets and circular cutouts, on the stress distributions inside a rigid body and to determine the maximum applicable axial force in the
same rigid body while considering these stress concentrations.
The member shown below is made of steel (oallow = 165 MPa) that is 76.6 mm thick. The member is subjected to an axial force P that is applied at both ends. Let r = 10.0 mm, w = 50.0 mm,
h = 30.0 mm, and d = 15.0 mm.

3.0
3.2
2.8
FİGURE A
FİGURE B
FİGURE A
FİGURE A
3.0
2.6
FİGURE B
FİGURE B
P-
2.4
2.8
2.2
arg
%3D
K
(w - 2r)t
= 4,0
4.0
2.0
2.6
3.0
- = 2.0-
1.8
W=1.5.
2.4
1.6
= 1.2-
1.1
1.4
2.2
1.2
1.0
2.0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
0.1
0.2
0.3
0.4
0.5
2r
|||||

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