Week 1 Stress Concentration on a Plate with hole
OBJECTIVES
Design a plate with one hole three holes and find the deformation and equivalent stress of the plate
Case 1
Design a plate with a hole model similar to what we worked in the class but with increased thickness .Determine the maximum deformation and stress developed in the model
Plate Dimension
Length - 300mm
Height - 120mm
Thickness - 30mm
Circular Hole at the center Diameter = 60mm
Case 2 Plate with one hole
Plate Dimension
Length - 300mm
Height - 120mm
Thickness - 30mm
Circular Hole at the center
Diameter - 60mm
The above model is created in space claim and the material is selected as structural steel.
Mesh
Mesh the model with the element size 7.5 and it is tetragonal shape mesh
Total Deformation
One side of the plate is fixed and other side is given load of 500N
The max deformation will be 2.6506e-4mm
Equivalent Strain
The max stress developed at the center hole is 0.2872
Case 2 Plate with three holes
Model
Length -300mm
Height - 120mm
Thickness - 30mm
Circular hole at the center :
Diameter - 60mm
Small holes 90mm away from the center with dia 30mm
The above model is created in Spaceclaim and the material is selected as structural steel
Mesh
Mesh the model with the element size 7.5 and it is a tetragonal shape mesh
Total Deformation
One side of the plate is fixed and other side is given load of 500N
The max deformation will be 2.9715e4mm
Equivalent Stress
The max stress developed at the center hole is 0.5702 Mpa
Result and Conclusion
Plate with one hole Plate with two hole
Max deformation 2.6506e-4mm 2.9715e-4mm
Min deformation 0 0
Max Equivalent Stress 0.57346Mpa 0.5702 Mpa