4-28 - 256 Finite Element Analysis and Design 28. The frame...

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256 Finite Element Analysis and Design 28. The frame shown in the figure is subjected to some forces at Nodes 2 and 3. The resulting displacements are given in the table below. Sketch the axial force, shear force, and bending moment diagrams for Element 3. What are the support reactions at Node 4? Assume EI =1000 N-m 2 and EA =10 7 m 2 . Length of all elements = 1 m. Node u (mm) v (mm) (radian) 2 10 1 -0.1 3 11 -1 +0.1 Solution: For Element 3, choose the local coordinates xy as shown. That means the first Node is 4 and the second node is 3. Then the angle = 90 o . The displacements for this element can be transformed local coordinates as follows 44 33 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0.011 0 0 0 1 0 0 0.001 0 0 0 0 0 1 0.1 uu vv        
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This note was uploaded on 08/22/2011 for the course EML 4500 taught by Professor Staff during the Fall '08 term at University of Florida.

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4-28 - 256 Finite Element Analysis and Design 28. The frame...

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