The figures below illustrate an axial loaded composite memberthat is comprised of fourdifferent materials defined as materials 1 through 4. Note thereare two rigid end caps atthe LHS and RHS of the member. The LHS end cap is adhered tomaterials 2 and 4, andthe RHS end cap is adhered to materials 3 and 4 as shown. A totalforce Fa2 is applied tothe LHS rigid end cap. The LHS end of the material 1 part and theRHS end cap are subjectto zero fixed displacement conditions, so that u1 = u4 = 0. Developa model containing foursprings (called k1,k2,k3 and k4) and four nodes (defined as 1,2,3and 4 shown below).IMPORTANT NOTE: The end caps are modeled as nodes 1 and 4 and notwith springs!
The Figures Below Illustrate An Axial Loaded Composite Member That Is Comprised Of Four Different Materials Defined As M 1 (118.33 KiB) Viewed 34 times
a) Create a spring-element diagram below to show theelement-node connections withlabels for u1, u2, u3 and u4, and k1,k2,k3 and k4, and F2a.
b) Complete the element-node-deformation table below
Note, express the element deformations in the above table in termsof nodaldisplacements u1, u2, u3 and u4
c) Sketch only the nodal FBDs required to determine the unknowndisplacements (inascending order of node number).
Node 1 \begin{tabular}{|l|} \hline Axial section showing the four sections of different materials \\ \hline \end{tabular} Material sections
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