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

1. STUDY OF EFFECT
OF CIRCULAR
HOLE IN PLATE,
ON
STRESS
CONCENTRATION
JJ Technical Solutions
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2. AIM
• To study the stresses in flat plate with circular hole, for
different pressure loads (P=50 MPa to 450 MPa)
• To study the effect of increase in pressure 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 pressure loads.

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
BOUNDARY CONDITIONS FOR THE PROBLEM STATEMENT
P =
1. 50 MPa
2. 150 MPa
3. 250 MPa
4. 350 MPa
5. 450 MPa
ϕ0.04
0.2
0.4
P
Fixed Edge
of Plate
Units:
Length: m
Pressure: MPa
Stress: MPa

4. STRUCTURED MESH ELEMENTS IN THE PLATE – SMOOTH MESHING
No. OF ELEMENTS: 244000 (Typ.)
MESH: STRUCTURAL
SOLID “PLANE 182”;
(QUAD 4 NODE 182)

5. PRINCIPAL STRESS PLOT IN THE PLATE FOR σ = 50 MPa
σ = 50 MPa

6. PRINCIPAL STRESS PLOT (NEAR THE HOLE)IN THE PLATE FOR σ = 50 MPa

7. 0 0.08
σ = 50 MPa

8. PRINCIPAL STRESS PLOT IN THE PLATE FOR σ = 150 MPa
σ = 150 MPa

9. PRINCIPAL STRESS PLOT (NEAR THE HOLE)IN THE PLATE FOR σ = 150 MPa

10. 0 0.08
σ = 150 MPa

11. PRINCIPAL STRESS PLOT IN THE PLATE FOR σ = 250 MPa
σ = 250 MPa

12. PRINCIPAL STRESS PLOT (NEAR THE HOLE)IN THE PLATE FOR σ = 250 MPa

13. 0 0.08
σ = 250 MPa

14. PRINCIPAL STRESS PLOT (NEAR THE HOLE)IN THE PLATE FOR σ = 350 MPa

15. 0 0.08
σ = 350 MPa

16. PRINCIPAL STRESS PLOT IN THE PLATE FOR σ = 450 MPa
σ = 450 MPa

17. PRINCIPAL STRESS PLOT (NEAR THE HOLE)IN THE PLATE FOR σ = 450 MPa

18. 0 0.08
σ = 450 MPa

19. 0 0.08
VM: Von-Misses
1st Principal: Principal Stress

20. (MPa)
Linear Correlation between Pressure and Max. Stress

21. Results and Discussions
• The max. stresses generated due to various pressure loads on
the flat plate configuration are:
• The max. stress generated is a
linear function of Pr. Load.
• The stress distribution across the width of the plate is plotted
• The stress distribution across the width of the plate for
different Pr. Loads are plotted and studied.
• The stress distribution around the hole is studied.
Sl.No. Pressure (MPa) Max. Stress (MPa)
1 50 159
2 150 477
3 250 795
4 350 1113
5 450 1431

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