What best finite element model (plane stress, plane strain, axisymmetric, or 3 -

Question

What best finite element model (plane stress, plane strain, axisymmetric, or 3 -dimensional solid stress) should be used for the following stress analysis problems based on criteria presented in this course. A long uniform cross-section dam subjected to a hydrostatic loading A pelvis bone with an implant A thin plate with numerous holes loaded in the plane of the plate An engine block subjected to thermal loading A steel cylindrical pressure vessel with end caps What is the size or order of the constitutive matrix, [D], for the following: An axisymmetric stress analysis A 3-dimensional stress analysis How many total degrees of freedom are there for the 8-noded brick element?. Is it meaningful to connect the plane stress element to the axisymmetric element? (Circle proper answer: Yes or No) Why? How should one model the boundary conditions of nodes acting on the axis of symmetry in an axisymmetric model? For a triangular element with a line source of 60 Btu/(h-in.) located at its centroid, what would be the amount of source in Btu/h allocated to each node? Assume the element has thickness of 0.1 in. Show the calculation here:

Explanation / Answer

1. a. plane strain

1.b. 3 d solid stress

1.c. Plane stress

1.d. 3 d elements

1.e. Axisymmetric

2.a . 4x4

2b. 6x6

3. 8x3= 24 dofs

4 yes. FE equations for bothe are same.

5. If Y is the axis of rotation, both X-Y and Y-Z are the planes of symmetry. impose symmetry BC's.

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