Find the global stiffness matrix of each of the four bar elements of the truss shown in
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Find the global stiffness matrix of each of the four bar elements of the truss shown in Fig. 12.5 using the following data:
Nodal coordinates: \(\left(X_{1}, Y_{1}\right)=(0,0) \mathrm{m},\left(X_{2}, Y_{2}\right)=(1.25,2.5) \mathrm{m},\left(X_{3}, Y_{3}\right)=(2.5,0) \mathrm{m}\), \(\left(X_{4}, Y_{4}\right)=(5,3.75) \mathrm{m}\).
Cross-sectional areas: \(A_{1}=A_{2}=A_{3}=A_{4}=13 \mathrm{~cm}^{2}\).
Young's modulus of all members: \(200 \mathrm{GPa}\).
Figure 12.5:-
Transcribed Image Text:
u(1) Ug(t) U(1) Load x u(1) U3(1) u(1) U(t) u(t) u(1) U6) U(1) x Ax u(t) u(1) u(t) 1 U(1) Us(1) X FIGURE 12.5 A dynamical system (truss) idealized as an assemblage of four bar elements.
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