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)

Answered: Image /qna-images/answer/6f54c08b-2964-4ece-8495-acfc1028e9f3.jpg

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)

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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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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. The
two 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
=
850
P
2
=
90°
2
AE
L
1
1m
3
1m
F1,x = 10KN
Figure 1: Truss assembly formed of two bars. Nodes and bars are numbered, with bars numbered
with underlines.
X
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
fiy
fjx
fjy
Here C = cos(0) and S = sin(0), where is the angle of orientation of the bar.
CS -C² -CS
C²
CS S² -CS -S²
-C² -CS C²
-CS -S² CS
CS
S²
R
Wi
Vi
U j
(1)

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