# Stress in Plates due to Presence of Circular Hole

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Information about Stress in Plates due to Presence of Circular Hole

Published on June 1, 2016

Author: MechieProjects

Source: slideshare.net

1. STUDY OF EFFECT OF CIRCULAR HOLE IN PLATE, ON STRESS CONCENTRATION JJ Technical Solutions www.mechieprojects.com

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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