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Determine the change in length of member BE and member CF

Determine the change in length of member BE and member CF

Structural Analysis
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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Determine the change in length of member BE and member CF

### Structural Analysis of Steel Link Assembly **Description:** The diagram illustrates two members, ABC and DEF, which are connected using steel links. The modulus of elasticity for the steel links is given as \( E = 200 \, \text{GPa} \). Each link is composed of a pair of plates with dimensions \( 25 \, \text{mm} \times 35 \, \text{mm} \). **Dimensions:** - The vertical length from point \( A \) to point \( B \) is \( 260 \, \text{mm} \). - The vertical length from point \( B \) to point \( C \) (and from \( E \) to \( F \)) is \( 180 \, \text{mm} \). - The horizontal distance from point \( A \) to point \( D \) is \( 240 \, \text{mm} \). **Loading Conditions:** - A tensile force \( P \) with a magnitude of \( 15 \, \text{kN} \) is applied horizontally at points \( A \) and \( D \). **Diagram Explanation:** - The structure consists of two main vertical members (ABC and DEF) joined at the top and center by horizontal steel links (C to B and E to F). - The forces are applied horizontally at the lower extremities of the members (A and D), indicating an external force trying to pull the structure apart. This setup provides a context for examining the mechanical behavior of the links under tension, factoring in properties like elasticity, material deformation, and stress distribution.
Transcribed Image Text:### Structural Analysis of Steel Link Assembly **Description:** The diagram illustrates two members, ABC and DEF, which are connected using steel links. The modulus of elasticity for the steel links is given as \( E = 200 \, \text{GPa} \). Each link is composed of a pair of plates with dimensions \( 25 \, \text{mm} \times 35 \, \text{mm} \). **Dimensions:** - The vertical length from point \( A \) to point \( B \) is \( 260 \, \text{mm} \). - The vertical length from point \( B \) to point \( C \) (and from \( E \) to \( F \)) is \( 180 \, \text{mm} \). - The horizontal distance from point \( A \) to point \( D \) is \( 240 \, \text{mm} \). **Loading Conditions:** - A tensile force \( P \) with a magnitude of \( 15 \, \text{kN} \) is applied horizontally at points \( A \) and \( D \). **Diagram Explanation:** - The structure consists of two main vertical members (ABC and DEF) joined at the top and center by horizontal steel links (C to B and E to F). - The forces are applied horizontally at the lower extremities of the members (A and D), indicating an external force trying to pull the structure apart. This setup provides a context for examining the mechanical behavior of the links under tension, factoring in properties like elasticity, material deformation, and stress distribution.
Expert Solution
Step 1

Given :P=15 kNE=200 GPa   =200 kN/mm2Two pairs of Plates 25 mm×35 mm are used for link BE and CF.Length of Plate, L=240 mmArea  of member, A=2×(25×35)                              =1750 mm2

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