can you help me answer this question please, thank you. Consider the truss made of 2 bars with lengths 1 m, orientated in the structure shown in Figure 1. Thetwo bars have the same cross-sectional areas A = 5·10-4 m² and modulus of elasticity E = 2·10¹¹ N/m².10 kN is applied in the x-direction at node 1.A force of F1,x=850P2=90°2AEL11m31mF1,x = 10KNFigure 1: Truss assembly formed of two bars. Nodes and bars are numbered, with bars numberedwith underlines.Xa) Using the numbering system of nodes and bars shown in Figure 1, state the 2 local stiffness matricesfor each bar and combine these into a global stiffness system for all nodal displacements of thetruss. Use the matrix system given in Eq. 1 below relating the local displacements of a single barto the local forces applied to its nodes.fixfiyfjxfjyHere C = cos(0) and S = sin(0), where is the angle of orientation of the bar.CS -C² -CSC²CS S² -CS -S²-C² -CS C²-CS -S² CSCSS²RWiViU j(1)

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Consider the truss made of 2 bars with lengths 1 m, orientated in the structure shown in Figure 1. The two bars have the same cross-sectional areas A = 5.10-4 m² and modulus of elasticity E = 2-10¹¹ N/m². A force of F1,x = 10 kN is applied in the x-direction at node 1. 45 O 2 = 90° 2 1 1m 3 1m → F₁x = 10KN Figure 1: Truss assembly formed of two bars. Nodes and bars are numbered, with bars numbered with underlines. 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. Ui fix fiy AE Vi U j fjx L fjy Vj Here C= cos(0) and S = sin(0), where is the angle of orientation of the bar. CS -C² -CS -CS -S² C2 C² CS S² -C² -CS -CS -S² CS CS S² (1)

Consider the truss made of 2 bars with lengths 1 m, orientated in the structure shown in Figure 1. The two bars have the same cross-sectional areas A = 5.10-4 m² and modulus of elasticity E = 2-10¹¹ N/m². A force of F1,x = 10 kN is applied in the x-direction at node 1. 45 O 2 = 90° 2 1 1m 3 1m → F₁x = 10KN Figure 1: Truss assembly formed of two bars. Nodes and bars are numbered, with bars numbered with underlines. 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. Ui fix fiy AE Vi U j fjx L fjy Vj Here C= cos(0) and S = sin(0), where is the angle of orientation of the bar. CS -C² -CS -CS -S² C2 C² CS S² -C² -CS -CS -S² CS CS S² (1)

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 2.7.8P: The statically indeterminate structure shown in the figure consists of a horizontal rigid bar AB...

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