3-Dimensional Static structural analysis of a hollow cylindrical shaft with transversal hole.

Course: MAE 529: Finite Structural Analysis

Instructor: Dr. Jiaoyan Li

Presented by: Surya Teja Koppula

Importance of FEA:

• As an FEA engineer, we are expected to conduct structural and dynamic analysis of the proposed designs.
• This helps in getting insights about the behavior of the part in a virtual environment stimulating the real time circumstances to the closest.
• Becomes and integral part of product development in terms of CAPA (Corrective and Preventive Actions), Risk Assessments, saves time, cost in prototyping.
• Provides simulated results of a Design of Experiments for Mechanical Failure Mode Effect and Analysis of products for ex: UVL Test.

Protocol

• The Finite Element Analysis of a problem follows a step-by-step procedure:-
• Problem Definition
• Element: Empirically, we can define the kind of element we want to use for our analysis.
• For this problem, we use a TETrahedral element.
• Geometry
• Boundary Conditions.
• Analysis
• Visualization

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Problem Definition

• Defining part Geometry
• Defining Material Properties
• Defining Section properties (Associating Material Props with Part geometry)
• Defining the event (Instance): bringing the defined geometry to the workspace.
• Defining time steps: Begin and end of event (subjugation to load and Boundary conditions)
• Defining the Boundary Conditions: DBCs and NBCs
• Defining the Mesh: Grid generation linking the 2D and 3D elements throughout the volume

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Defined Values:

• Outer Diameter: 10 cm
• Inner Diameter: 6 cm
• Applied Load: -100MPa of pressure
• Material: Steel
• Youngs Modulus: 210Gpa
• Poissons’ Ratio: 0.3
• Range of ‘r’ = [0.005,0.0075, 0.02, 0.0125, 0.015, 0.0175]

Analysis

• Given we have defined the problem properly
• We can conduct the structural analysis.
• A successful submission of the ‘Job’ in ABAQUS and successful result generation affirms the adherence to the protocol.

Visualization

• The Analysis yields us results to be interpreted.
• Important values:
• Principle stress: Principal stresses are maximum and minimum value of normal stresses on a plane (when rotated through an angle) on which there is no shear stress
• Von Mises Stress: Used to predict yielding of materials under complex loading conditions
• Max_Displacement: Maximum displacement of a node
• Min_Displacement: Minimum displacement of a node

Nuances

• We conduct a static structural analysis of the proposed structure for different values for the hole.
• We must specify different volumes to accommodate change in the radius.
• Consecutively, the events(Instances) must be defined according to the new volume
• Similarly, the mesh must be mapped over the new volume.

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• The whole protocol has to be followed for the new defined geometery.

Boundary Condition application

Respective Meshes for different ‘r’ values:

Results:

Discussion

• We see the concentration factor increasing with the size of the hole
• The Maximum stress is found at the horizontal axis of the hole
• It could be inferred that since the load is applied in the vertical direction, the load tends to stretch the circle along it’s vertical direction
• And hence, more stress is concentrated along the horizontal axis

THANK YOU