Analysis of a mechanical or structural problem

Assignment Help Other Subject

Reference no: EM13944101

Question 1: Application of 2D Solid Elements

Simplification of complex geometry to perform an efficient analysis of a mechanical or structural problem is a critical step the Computer Aided Engineering analyst must make. In particular, simplifying complex 3D problems into 2D can be beneficial, reducing setup, solve times and allowing for rapid design optimisation.

For this task you are required to identify a series of physical problems which lend themselves to being simplified to the use of a 2D solid element.

You are required to:

Describe and discuss the differences of the 2D Solid Element types:

o Plane Stress;
o Plane Strain; and
o Axisymmetric.

Provide 4 realistic case studies in which the simplification from 3D to 2D solid elements can be made for each of the 2D Solid Element types proposed above. You must describe and discuss why the simplification is suitable. Include schematics and support mathematically if able to do so. This should be conducted clearly, with clearly defined boundary conditions etc.

Setup an ANSYS FE model for one of the case studies discussed above for each element type. Therefore, three models: one for the plane stress, plane strain and axisymmetric element assumptions.

Present the FE setup (element selection, mesh, boundary conditions etc.), results and a detailed discussion of the suitability for the 2D assumption in a clear and structured report. Describe and discuss the critical results for the particular analysis?

Question 2: Bar Element

Considering an aluminium rod under compression, its FE model is an assembly of two bar elements as shown in the figure below. The rod has a square cross-section (30 mm x 30 mm) and the Youngs Modulus of the aluminium is 70 GPa.

368_Bar element.jpg

Determine

1) the nodal displacements at nodes 1-3;
2) the reaction at node 1; and
3) the axial stresses and strains in each element.

Question 3: Truss Structure - Update

Consider the three membered planar truss-structure shown in the figure below. All members of the truss have identical square cross-sectional area (A) of 25 mm x 25 mm, and Youngs Modulus (E) = 210 GPa. The hinged joints, A, B and C allow free rotation of the members about the z-axis.

2167_planar truss structure.jpg

Determine:

1) the horizontal and vertical displacements at joint C;
2) the reaction forces at each support;
3) the stress and strain of each member.

Reference no: EM13944101

Questions Cloud

How does non-material mind interact with the material body : The crucial question in Dualism is how does the non-material Mind interact with the Material Body. What is your solution to the Mind-Body Problem? If your solution is dualistic, what is your solution to the problem of Mind-Body interaction?

Alternative hypothesis for statistical test : (A) Which test is the most appropriate to analyze these data, and why is that test most appropriate? (B) What are an appropriate null and alternative hypothesis for this statistical test?

Rome at the end of the roman republic time : Imagine you are a citizen in Rome at the end of the Roman Republic time period. What factors could you see that showed the Republic was dying and the Imperial government was emerging?

Did the author miss important earlier work : Please read the two attached articles and evaluate their content and quality.

Analysis of a mechanical or structural problem : Simplification of complex geometry to perform an efficient analysis of a mechanical or structural problem is a critical step the Computer Aided Engineering analyst must make.

Is position closest to causal determinism, hard determinism : Are your actions due to your free will or determined? Lay out your arguments for your position. Use the material you've studied thus far in this course to support your arguments. Is your position closest to causal determinism, hard determinism, so..

Problem regarding the processing deposits : Suppose the probability of a bank making a mistake in processing a deposit is .0003. If 10,000 deposits (n) are audited, what is the probability that more than 6 mistakes were made in processing deposits?

How the city of uruk was concerned the holy city : The animation does not show how Western tradition that refer to the Hebrew Bible that shows Gilgamesh and his kingdom as being the early human society or how the city of Uruk was concerned the Holy city and was chosen and protected by the Babylonia G..

Evaluate this argument and determine its validity : Evaluate this argument and determine its validity. Please also describe the steps used in your evaluation.

User Account

All Pages