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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.

Question

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

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Step 2: State the difference between stiffness and flexibility method of analysis

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Solution

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Step 3: State advantage of stiffness method

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Step 4: Analyze the frame

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Step 5: Member stiffness matrix for truss element 1-2

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Step 6: Member stiffness matrix for truss element 4-2

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Step 7: Global stiffness matrix

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Step 8: Determining load vector and displacement vector

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Step 9: Determine joint displacement

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Step 10: Determine member force

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