a) List and briefly explain 3 differences between stiffness and flexibility methods of structural analysis. b) State two advantages that the stiffness method has over flexibility methods. c) A telecommunication tower shown in Fig Q1-1 consists of the main structural element 2-4 and cables in elements 1-2 and 2-3. The main structural element can resist both tension and compression while the cables can only resist tensile forces. i) Using the matrix implementation of the stiffness method, compute the deflection at Node 2 induced by the lateral load shown. ii) Compute the member forces Assume E- 200GPa and Area of main structural element - 40 x 10³ mm². Area of cables - 40 x 10² mm² Hint: All calculations should be based on the given node numbering in the figure.
a) List and briefly explain 3 differences between stiffness and flexibility methods of structural analysis. b) State two advantages that the stiffness method has over flexibility methods. c) A telecommunication tower shown in Fig Q1-1 consists of the main structural element 2-4 and cables in elements 1-2 and 2-3. The main structural element can resist both tension and compression while the cables can only resist tensile forces. i) Using the matrix implementation of the stiffness method, compute the deflection at Node 2 induced by the lateral load shown. ii) Compute the member forces Assume E- 200GPa and Area of main structural element - 40 x 10³ mm². Area of cables - 40 x 10² mm² Hint: All calculations should be based on the given node numbering in the figure.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Q1
Transcribed Image Text:a) List and briefly explain 3 differences between stiffness and flexibility methods of structural
analysis.
b) State two advantages that the stiffness method has over flexibility methods.
c) A telecommunication tower shown in Fig Q1-1 consists of the main structural element 2-4 and
cables in elements 1-2 and 2-3. The main structural element can resist both tension and
compression while the cables can only resist tensile forces.
i)
Using the matrix implementation of the stiffness method, compute the deflection at Node
2 induced by the lateral load shown.
ii)
Compute the member forces
Assume E = 200GPa and Area of main structural element = 40 x 10³ mm².
Area of cables - 40 x 10² mm²
Hint: All calculations should be based on the given node numbering in the figure.
Fig Q1-1
1
8m
4
2
5kN
30m
XE
3
8m
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Step 1: Introduce the problem statement
VIEWStep 2: State the difference between stiffness and flexibility method of analysis
VIEWSolution
VIEWStep 3: State advantage of stiffness method
VIEWStep 4: Analyze the frame
VIEWStep 5: Member stiffness matrix for truss element 1-2
VIEWStep 6: Member stiffness matrix for truss element 4-2
VIEWStep 7: Global stiffness matrix
VIEWStep 8: Determining load vector and displacement vector
VIEWStep 9: Determine joint displacement
VIEWStep 10: Determine member force
VIEW
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