Question 1 Bar 1 1 m Horo C gog(0) 90° Bar 2 = 10 kN in (A) 1m Figure 1: Truss assembly formed of two bars Figure 1 shows a truss structure consisting of two bars of 1 m in length, cross-sectional area A = 5∙10−4 m² and modulus of elasticity E = 200GPa. Nodes 1 and 2 are held fixed, and a force of 10 kN is applied in the x-direction at node 3. 45° a) Form the local and global stiffness matrices, apply the boundary conditions and find the displace- ments of the nodes for the given force. Use the following formula relating the local displacements of a single bar to the local forces applied to its nodes. 2 fix C² CS -C²-CS] Ui AE fiy CS S² 图 []&&&式] -CS -S² Vi fjx L - C² -CS C2 CS U j fjy -CS -S² CS S2 Vj X joro A in the har (1)

Question 1 Bar 1 1 m Horo C gog(0) 90° Bar 2 = 10 kN in (A) 1m Figure 1: Truss assembly formed of two bars Figure 1 shows a truss structure consisting of two bars of 1 m in length, cross-sectional area A = 5∙10−4 m² and modulus of elasticity E = 200GPa. Nodes 1 and 2 are held fixed, and a force of 10 kN is applied in the x-direction at node 3. 45° a) Form the local and global stiffness matrices, apply the boundary conditions and find the displace- ments of the nodes for the given force. Use the following formula relating the local displacements of a single bar to the local forces applied to its nodes. 2 fix C² CS -C²-CS] Ui AE fiy CS S² 图 []&&&式] -CS -S² Vi fjx L - C² -CS C2 CS U j fjy -CS -S² CS S2 Vj X joro A in the har (1)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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