a) Using the numbering system of nodes and bars shown in Figure 1, state the 2 local stiffness matrices for each bar and combine these into a global stiffness system for all nodal displacements of the truss. Use the matrix system given in Eq. 1 below relating the local displacements of a single bar to the local forces applied to its nodes. fix 傻 fjz fjy Here C= cos(0) and S = sin(0), where is the angle of orientation of the bar. AE CS CS S² -C²-CS -CS -S² CS -C²-CS -CS -S² C² CS S² 24₂ Vi Uj b) Apply the boundary conditions and specified forces to your global stiffness system of equations and solve for the displacements. c) What is the force required on node 1 for the displacement of the node 1 to be u₁ = V₁ = 0m. 1.10-4 m and

a) Using the numbering system of nodes and bars shown in Figure 1, state the 2 local stiffness matrices for each bar and combine these into a global stiffness system for all nodal displacements of the truss. Use the matrix system given in Eq. 1 below relating the local displacements of a single bar to the local forces applied to its nodes. fix 傻 fjz fjy Here C= cos(0) and S = sin(0), where is the angle of orientation of the bar. AE CS CS S² -C²-CS -CS -S² CS -C²-CS -CS -S² C² CS S² 24₂ Vi Uj b) Apply the boundary conditions and specified forces to your global stiffness system of equations and solve for the displacements. c) What is the force required on node 1 for the displacement of the node 1 to be u₁ = V₁ = 0m. 1.10-4 m and

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.8P

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