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Stress in Flat Plate due to Different Diameter Holes

JJ Technical Solutions
JJ Technical Solutions

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

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STRESS IN A FLAT PLATE DUE TO CIRCULAR HOLE JJ TECHNICAL SOLUTIONS WWW.MECHIEPROJECTS.COM
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.
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
No. OF ELEMENTS: 287000 (Typ.) STRUCTURED MESH ELEMENTS IN THE PLATE SMOOTH MESHING MESH: STRUCTURAL SOLID PLANE 182; (QUAD 4 NODE 182)
No. OF ELEMENTS: 287000 (Typ.) MESH ELEMENTS IN THE PLATE NEAR THE HOLE MESH: STRUCTURAL SOLID PLANE 182; (QUAD 4 NODE 182)
PRINCIPAL STRESS PLOT IN THE PLATE FOR Case I Case I r = 0.01 m D= 0.2 m P = 250 MPa
Case I r = 0.01 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case I
Case II r = 0.015 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case II
Case II r = 0.015 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case II
Case III r = 0.02 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case III
Case III r = 0.02 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case III
Case IV r = 0.025 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case IV
Case IV r = 0.025 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case IV
Case V r = 0.03 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case V
Case V r = 0.03 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case V
Case VI r = 0.04 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case VI
Case VI r = 0.04 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case VI
Case VII r = 0.05 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case VII
Case VII r = 0.05 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case VII
Case VIII r = 0.06 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case VIII
Case VIII r = 0.06 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case VIII
Case IX r = 0.07 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case IX
Case IX r = 0.07 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case IX
Case X r = 0.08 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case X
Case X r = 0.08 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case X
Case XI r = 0.085 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case XI
Case XI r = 0.085 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case XI
Case XII r = 0.09 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS PLOT IN THE PLATE FOR Case XII
Case XII r = 0.09 m D= 0.2 m P = 250 MPa PRINCIPAL STRESS DISTRIBUTION NEAR HOLE FOR Case XII
A B
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
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.
FOR MORE PROJECTS PRESENTATIONS AND PROJECT REPORTS VISIT WWW.MECHIEPROJECTS.COM THANKYOU

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Stress in Flat Plate due to Different Diameter Holes

  • 1. STRESS IN A FLAT PLATE DUE TO CIRCULAR HOLE JJ TECHNICAL SOLUTIONS WWW.MECHIEPROJECTS.COM
  • 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.
  • 33. FOR MORE PROJECTS PRESENTATIONS AND PROJECT REPORTS VISIT WWW.MECHIEPROJECTS.COM THANKYOU