Challenge

Week 1 Stress Concentration on a Plate with hole

1. Comparision of maximum stress and deformation:

Plate with a hole (Case 1) Plate with holes (Case 2)
Maximum stress (MPa) 0.60673 0.58247
Maximum Deformation (mm) 0.00027 0.00030

2. From an Analysis standpoint , I will select Design 2 (Plate with holes) for the following reasons:

  • The maximum stress in case_2 is smaller than case_1. maximum stress defines the resistance to deformation hence case_2 has more resistance of deformation than case_1.
  • Since case_2 contains 2 smaller hole nearer to the larger hole, the stress concentration and stress concentration factor is less for the case.\

3. From an manufacturing standpoint , I will select Design 1 (plate with hole) for the following reasons:

  • Manufacturing cost : since case_2 has more amount of holes,manufacturing cost will be more than case_1.
  • Tooling cost: For making 3 holes, tooling cost will be more for case_2 as compared to case_1.
  • Time period of manufacturing : The tim period for producing a part will increase in case_2 as compared to case_1.

4. REPORT:

AIM:

To compare Maximum stress, deformation and strain of 2 diffrent components under tensile load using Finite Element Analysis.

PROCEDURE:

1. Design

The Design of the components were made using Space Claim module on Ansys Workbench as per the given dimensions:

Part1: Plate with hole

Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center: Diameter=60mm

Part 2: Plate with holes:

Plate dimensions:

Length=300mm
Height=120mm
Thickness=30mm

Hole dimensions :

Diameter of hole at centre:60 mm

diamter of holes 90 mm left and right of centre : 30 mm

2.Meshing:

The meshing was done on both the Parts using the following properties:

mesh type: Tetrahedron

Element Size: 2 mm

Meshing on Part 1 :

Meshing on Part 2 :

3.Loading Conditions:

Tensile Load of 500 N were applied on + X axis.

Plate is fixed at left face at negative of X axis as per the figure shown below:

Part 1:

Part 2:

Load was applied on the part as per the figures shown below :

part 1:

Part2:

4.Result :

Following properties were calculated for part 1 and part 2:

1. Maximum Strain

2. Maximum Displacement

3. Strain

Results of the Analysis are tabulated below :

Part 1 Part 2
Maximum Equivalent(Von Mises) Stress 0.60673 0.58247
Maximum Equivalent Elastic Strain 3.033*`10^-6` 2.912*`10^-6`
Maximum Deformation 0.00027 0.00030

Material Properties:

Material Structural Steel
Density 7.85e-06 kg/mm³
Young's Modulus 2e+05 MPa
Poisson's Rato 0.3
Yield Strength 250 MPa
Ultimate Strength 460 MPa

Factor of Safety for the given parts:

Maximum Stress (MPa) Yield Stress(MPa) Factor of Safety
Part 1 0.60673 250 412
Part 2 0.58274 250 429

The figures of the result are attached below:

Part 1:

Equivalent(Von Mises) Stress:

:

Equivalent Elastic Strain

Deformation:

PART 2:

Equivalent(Von Mises) Stress:

Equivalent Elastic Strain:

Deformation:

5.Conclusion:

When Part 1 and Part 2 are put under tensile test of 500 N acting along positive X axis, Part 2 depicts better Factor of safety, Maximum Stress and maximum strain in comparison with Part 1.

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