301022 Advanced Computer Aided Engineering TUTORIAL ASSIGNMENT 1
Question 1-1: 1-D Bar Element Method (20 marks)
Considering an assembly of two bar elements made of different materials as shown in Fig. 1-1, you are required to:
1) create a two bar-element model to determine nodal displacements, element stresses, and reaction force; and 2) use ANSYS to conduct an FEA for validation using the same FE model.
+ Q (lb.)
+ 0.Q (in.) + 0.Q (in.)
Figure 1-1 an assembly of two dissimilar bars
Solutions 1-2: 1-D Truss Element Method
The finite element model of a plane truss shown in Fig. 1-2 is composed of 4 members, all having a round cross section with a diameter of 20 + 0.Q mm and the modulus of elasticity E = 210 GPa. You are required to: 1) compute the nodal displacements in the global coordinate system for the loads shown as well as all the reactions at each support; and 2) use ANSYS to conduct an FEA for validation using the same FE model.
+ 0.Q (m)
+ 0.Q (kN)
Figure 1-2 a plane truss of four members
Question1- 3: 1-D Frame Element Method (50 marks)
For the two-frame structure subjected to a uniformly-distributed loading depicted below in Fig. 1-3, you are allowed to use only two frame elements to conduct an FEA. The two frame members are made of square beams material properties and rectangular cross-section as well as the same height. You are required to:
a) determine the unknown displacements at the point B, the reaction forces at points A and C and the maximum stresses in the frame and b) apply ANSYS to validate the results obtained from a).
+ Q (lb/ft)
+ 0.Q (ft.)
+ 0.Q (ft.)
Figure 1-3 a frame structure of two frame members