Study of Effect of Circular Hole in Flat Plate on Stresses. the stresss distribution is studied through Finite element analysis Ansys

1. STRESS IN A
FLAT PLATE
DUE TO
CIRCULAR
HOLE
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2. AIM
• To study the stresses in flat plate with circular hole, for
different radius of holes(r=0.01 to 0.09 m for D=0.2 m )
• To study the effect of increase in hole dia. on the max.
stresses developed.
• To study the stress profile across the circular hole,
through the plate width.
• To tabulate and plot the max. stress generated in the flat
plate with circular hole for different r/D.

3. SOLVER: ANSYS 14.0
MESH: STRUCTURAL
SOLID “PLANE 182”;
(QUAD 4 NODE 182)
SOLUTION: STEADY
STATE STRUCTURAL
SOLUTION
MATERIAL: Al. ALLOY
EX: 69E9 Pa
PRXY: 0.3
No. OF ELEMENTS:
244000
Fixed Edge
of Plate
0.2
0.4
r
(D)
D is fixed
r =
1. 0.01 m
2. 0.015 m
3. 0.02 m
4. 0.025 m
5. 0.03 m
6. 0.04 m
7. 0.05 m
8. 0.06 m
9. 0.07 m
10. 0.08 m
11. 0.09 m
Units:
Length: m
Pressure: MPa
Stress: MPa
P = 250 MPa
BOUNDARY CONDITIONS FOR THE PROBLEM STATEMENT

4. No. OF ELEMENTS: 287000 (Typ.)
STRUCTURED MESH ELEMENTS IN THE PLATE – SMOOTH MESHING
MESH: STRUCTURAL
SOLID “PLANE 182”;
(QUAD 4 NODE 182)

5. No. OF ELEMENTS: 287000 (Typ.)
MESH ELEMENTS IN THE PLATE NEAR THE HOLE
MESH: STRUCTURAL
SOLID “PLANE 182”;
(QUAD 4 NODE 182)

6. PRINCIPAL STRESS PLOT IN THE PLATE FOR Case I
Case I
r = 0.01 m
D= 0.2 m
P = 250 MPa

7. Case I
r = 0.01 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case I

8. Case II
r = 0.015 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case II

9. Case II
r = 0.015 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case II

10. Case III
r = 0.02 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case III

11. Case III
r = 0.02 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case III

12. Case IV
r = 0.025 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case IV

13. Case IV
r = 0.025 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case IV

14. Case V
r = 0.03 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case V

15. Case V
r = 0.03 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case V

16. Case VI
r = 0.04 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case VI

17. Case VI
r = 0.04 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case VI

18. Case VII
r = 0.05 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case VII

19. Case VII
r = 0.05 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case VII

20. Case VIII
r = 0.06 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case VIII

21. Case VIII
r = 0.06 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case VIII

22. Case IX
r = 0.07 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case IX

23. Case IX
r = 0.07 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case IX

24. Case X
r = 0.08 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case X

25. Case X
r = 0.08 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case X

26. Case XI
r = 0.085 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case XI

27. Case XI
r = 0.085 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case XI

28. Case XII
r = 0.09 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case XII

29. Case XII
r = 0.09 m
D= 0.2 m
P = 250 MPa
PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case XII

30. A B

31. 0
1000
2000
3000
4000
5000
6000
0 0.1 0.2 0.3 0.4 0.5
Max.Stress(MPa)
r/D
MAX STRESS COMPARISON FOR DIFFERENT R/D
D
r

32. Results and Discussions
• The max. stresses generated due to various r/D, on the flat
plate configuration are plotted and studied
• The max. stress generated is almost constant for lower r/D,
however for r/D>0.25 it increased exponentially
• The stress distribution across the width of the plate is plotted
• The stress distribution across the width of the plate is non
linear for lower r/D, however for larger r/D it is a linear curve
• The stress distribution around the hole is studied.

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