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. For the three-node line element, in which node 2 is an interior node, shown below, obtain the shape functions and derive the element stiffness matrix using the minimum potential approach. Assume only 1 degree of freedom (dx), and accordingly 1 nodal force (fx), at each node, The field variable (displacement) is defined by the following polynomial function: u(x) = a+ax+a²x² EA is constant. 3 x 0,0 1m, 0 2m, 0

. For the three-node line element, in which node 2 is an interior node, shown below, obtain the shape functions and derive the element stiffness matrix using the minimum potential approach. Assume only 1 degree of freedom (dx), and accordingly 1 nodal force (fx), at each node, The field variable (displacement) is defined by the following polynomial function: u(x) = a+ax+a²x² EA is constant. 3 x 0,0 1m, 0 2m, 0

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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. For the three-node line element, in which node 2 is an interior node, shown below, obtain the shape functions and derive the element stiffness matrix using the minimum potential approach. Assume only 1 degree of freedom (dx), and accordingly 1 nodal force (fx), at each node, The field variable (displacement) is defined by the following polynomial function: u(x) = a+ax+a²x² EA is constant. 3 x 0,0 1m, 0 2m, 0
Transcribed Image Text:. For the three-node line element, in which node 2 is an interior node, shown below, obtain the shape functions and derive the element stiffness matrix using the minimum potential approach. Assume only 1 degree of freedom (dx), and accordingly 1 nodal force (fx), at each node, The field variable (displacement) is defined by the following polynomial function: u(x) = a+ax+a²x² EA is constant. 3 x 0,0 1m, 0 2m, 0
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