6.4 SPACE TRUSS

Derivation of the global stiffness matrix for a space truss is analogous to the plane truss case. An element of constant cross-section as shown in Figure 6.14 is considered here. Element equilibrium equation and stiffness matrix for an element are given in Eqs. (6.84) and (6.83), respectively.

 

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Figure 6.14 (a) Two-node space truss element subject to tensile force T (b) Global displacements

 

Displacement u and the force f in the local co-ordinate have the components u(x) = (U, V, W) and f = (Fx, Fy, Fz) in the global co-ordinates (X, Y, Z). It remains now to find the transformation matrix [T*] to transform from the local to ...

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