Week 1 Stress Concentration on a Plate with hole

STRESS CONCENTRATION ON A PLATE WITH HOLE

Objective: To perform static structural analysis on a plate with a hole geometry

Case 1- plate with hole

Case2- plate with multiple holes

Case: 1 -plate with hole

Procedure

• Open ansys workbench
• Update the material module as structural steel
• In then geometry model open new place claim and design the plate according to the given dimensions

To Design a plate with a hole in centre

Plate dimensions

1. Length= 300 mm
2. Height=120 mm
3. Thickness =30 mm
4. Circular hole at the centre.
5. Diameter=60 mm

• Then extrude the geometry
• Then update the mode and edit it
• In the mechanical tab update the mesh intro tetrahedron and generate it .
• The in the static structure tab assign the BC

Boundary conditions

1. Plate fixes at left face
2. Load of 500 on the right face

Then evaluate the solutions

• In result we want maximum displacement and maximum von mesis stress
• displacement
• vonmesis stress

Case: 2 - plate with multiple holes

• Follow the above procedure but only difference is in plate dimensions

To Design a plate with a hole conditions mentioned below

Plate dimensions

• Length= 300 mm
• Height=120 mm
• Thickness =30 mm
• Circular hole at the centre.
• Diameter=60 mm
• Smaller holes 90 mm away from the centre

Boundary conditions

1. Plate fixes at left face
2. Load of 500 on the right face

result :

displacment

von mesis stress

ResultComparisons

case-1 (hole with centre )	case-2 ( 3 hole )
displacement
Deformations the plate with one whole is having a deflections of 2.7486e-004 mm and the plate having three holes has the maximum deflection of 2.971e-004mm
maximum stress
Von mesis stress The plate with one whole is having a stress concentration of 0.5921MPA and the plate having three holes has the minimum stress concentration of 0.57759MPA. This is because the stress lines are similar to fluid flows, hence the cross sectional in (one hole) is steep and then stress gets accumulated on single are. In the second case the cross sectional in (one hole) is stress gets accumulated on single area. In the second case the cross sectional is gradually increasing due to the presence of two holes the stress concentration is not massive

Design Point of view

From an analysis standpoint, I would go with second case (3 holes)

• Stress concentration is lower
• We can save lot of material

Case-1 (hole in centre)

• Stress concentration is higher
• This would result in consuming higher stress concentration material and the cost is higher

Manufacturing Point of view

• From a manufacturing standpoint , case-1 is suitable
• As case-1 has , less machining time and low material cost

Case-2

• More machining time
• Much material cost