Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
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. 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. fix 8-+ = fjx L fjy C2 CS S² -CS -CS -S² fiy AE CS -C² Horo C gog(A) and S Ui Vi 18 CS Uj S² Vj -C² -CS -CS -S² C2 CS cin(A) whore A is the angle of orientation of the bor (1)

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. 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. fix 8-+ = fjx L fjy C2 CS S² -CS -CS -S² fiy AE CS -C² Horo C gog(A) and S Ui Vi 18 CS Uj S² Vj -C² -CS -CS -S² C2 CS cin(A) whore A is the angle of orientation of the bor (1)

Mechanics of Materials (MindTap Course List)
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
See similar textbooks
icon
Related questions
Question
Question 1 Bar 1 1 m 1 90° fix fiy fjx fjy Here C = cos(0) and S Bar 2 = 10 kN 1m 45° 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. AE CS L 2 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. y C² CS S² -C² -CS -CS -S² CS -C² -CS Ui C² -CS -S² Vi CS S² {} U j Vj sin(0), where is the angle of orientation of the bar. (1)
Transcribed Image Text:Question 1 Bar 1 1 m 1 90° fix fiy fjx fjy Here C = cos(0) and S Bar 2 = 10 kN 1m 45° 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. AE CS L 2 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. y C² CS S² -C² -CS -CS -S² CS -C² -CS Ui C² -CS -S² Vi CS S² {} U j Vj sin(0), where is the angle of orientation of the bar. (1)
Expert Solution
steps

Step by step

Solved in 7 steps with 15 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS