(a) In the FE modelling using a 1D bar element, explain how many Gauss Points are...

Transcribed Image Text:

(a) In the FE modelling using a 1D bar element, explain how many Gauss Points are needed for the exact integration to calculate the member stiffness matrix K of a quadratic interpolation line element (three nodes)? Justify your answer. [5] (b) Draw the Mohr circle corresponding to the moment tensor at the corner of a slab subjected to a pure torsion state with torsional moment mxy = 40kN. Show the moment tensor in this case [5] (c) What is the size of the kinematic matrix B for a solid 3D element with 4 nodes (tetrahedron). Explain your answer based on the relationship between B and the strain and nodal displacement vectors. [5] (d) Explain the difference between verification and validation of the results from a computational model. Give one example of each for the FE modelling of a 3D truss (space) structure. [5] (e) Explain the differences between a "under-damped" and "over-damped" structure in terms of the dynamic behaviour as well as the critical damping ratio in each case. [5] (a) In the FE modelling using a 1D bar element, explain how many Gauss Points are needed for the exact integration to calculate the member stiffness matrix K of a quadratic interpolation line element (three nodes)? Justify your answer. [5] (b) Draw the Mohr circle corresponding to the moment tensor at the corner of a slab subjected to a pure torsion state with torsional moment mxy = 40kN. Show the moment tensor in this case [5] (c) What is the size of the kinematic matrix B for a solid 3D element with 4 nodes (tetrahedron). Explain your answer based on the relationship between B and the strain and nodal displacement vectors. [5] (d) Explain the difference between verification and validation of the results from a computational model. Give one example of each for the FE modelling of a 3D truss (space) structure. [5] (e) Explain the differences between a "under-damped" and "over-damped" structure in terms of the dynamic behaviour as well as the critical damping ratio in each case. [5]

Answer rating: 100% (QA)

a In the FE modelling using a 1D bar element explain how many Gauss Points are needed for the exact integration to calculate the member stiffness matrix K of a quadratic interpolation line element thr... View the full answer