Problem 2: A flat plate, shown below, with a fillet radius of 0.1875 in. is subjected to an axial tension force of 1000 lbs on the right side. The plate is fixed on the left side. The dimension of the plate is given in the figure below and the thickness of the plate is 0.25 in. Note that all dimensions are in inches. It will be faster to model this in Creo Parametric Or Solid Works and then save it as a step file. Material is Structural Steel, same used in the tutorial (RECTANGULAR PLATE WITH CIRCULAR HOLE SUBJECTED TO TENSILE LOADING). 10.0000

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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2. Problem 2: A flat plate, shown below, with a fillet radius of 0.1875 in. is subjected to an axial tension
force of 1000 lbs on the right side. The plate is fixed on the left side. The dimension of the plate is given
in the figure below and the thickness of the plate is 0.25 in. Note that all dimensions are in inches. It will
be faster to model this in Creo Parametric Or Solid Works and then save it as a step file. Material is
Structural Steel, same used in the tutorial (RECTANGULAR PLATE WITH CIRCULAR HOLE SUBJECTED
TO TENSILE LOADING).
22500
2.25
4.0000
4.00
H
PRT_CSYS DEF 0.1875
VPRT CSYS DEF
R. 1875
f*f*
R₁
11
10.00
10.0000
3.0000
0.7500
3.0000
-0.7500
1.5000
$
1.50
Transcribed Image Text:2. Problem 2: A flat plate, shown below, with a fillet radius of 0.1875 in. is subjected to an axial tension force of 1000 lbs on the right side. The plate is fixed on the left side. The dimension of the plate is given in the figure below and the thickness of the plate is 0.25 in. Note that all dimensions are in inches. It will be faster to model this in Creo Parametric Or Solid Works and then save it as a step file. Material is Structural Steel, same used in the tutorial (RECTANGULAR PLATE WITH CIRCULAR HOLE SUBJECTED TO TENSILE LOADING). 22500 2.25 4.0000 4.00 H PRT_CSYS DEF 0.1875 VPRT CSYS DEF R. 1875 f*f* R₁ 11 10.00 10.0000 3.0000 0.7500 3.0000 -0.7500 1.5000 $ 1.50
What to Submit:
• Using approximate formula shown below (in Figure C.1), Compute the theoretical normal stress
in x-direction on the FILLET and compare with the result obtained by ANSYS Workbench. Be
sure to calculate Percentage error.
• Using figure C.2 to compute the theoretical normal stress in x-direction in the HOLE and
compare with the result obtained by ANSYS Workbench. Be sure to calculate Percentage error.
Note you can solve theoretical part at the FILLET independently from the HOLE.
• Submit Displacement Magnitude Contour Plot.
• Submit Normal Stress in X-direction Contour Plot.
• Submit Normal Stress in X-Direction on the filleted surface Contour Plot.
• Submit Normal Stress in X-Direction in the Hole Contour Plot.
3.0
2.8
2.6
2.4
2.2
K, 2.0
1.8
1.6 1.01
1.4
1.2
1.0
-
1.15
1.05
0.05
D/d = 2
1.5
0.10
0.15
r/d
nom
=
P P
A
td
=
3.0
0.20
0.25
0.30
Approximate formula
B (7)", where:
K₁ B
D/d
2.00
1.50
1.15
1.05
1.01
B
1.100
1.077
1.014
0.998
0.977
a
-0.321
-0.296
-0.239
-0.138
-0.107
Figure C.1 Theoretical stress-concentration factor K, for a filleted bar in axial tension [9 and 12,
Chapter 3].
For the above fillet, Stress concentration factor K, is found from the approximate formula
shown above the table.
Transcribed Image Text:What to Submit: • Using approximate formula shown below (in Figure C.1), Compute the theoretical normal stress in x-direction on the FILLET and compare with the result obtained by ANSYS Workbench. Be sure to calculate Percentage error. • Using figure C.2 to compute the theoretical normal stress in x-direction in the HOLE and compare with the result obtained by ANSYS Workbench. Be sure to calculate Percentage error. Note you can solve theoretical part at the FILLET independently from the HOLE. • Submit Displacement Magnitude Contour Plot. • Submit Normal Stress in X-direction Contour Plot. • Submit Normal Stress in X-Direction on the filleted surface Contour Plot. • Submit Normal Stress in X-Direction in the Hole Contour Plot. 3.0 2.8 2.6 2.4 2.2 K, 2.0 1.8 1.6 1.01 1.4 1.2 1.0 - 1.15 1.05 0.05 D/d = 2 1.5 0.10 0.15 r/d nom = P P A td = 3.0 0.20 0.25 0.30 Approximate formula B (7)", where: K₁ B D/d 2.00 1.50 1.15 1.05 1.01 B 1.100 1.077 1.014 0.998 0.977 a -0.321 -0.296 -0.239 -0.138 -0.107 Figure C.1 Theoretical stress-concentration factor K, for a filleted bar in axial tension [9 and 12, Chapter 3]. For the above fillet, Stress concentration factor K, is found from the approximate formula shown above the table.
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