**Problem 7.18**Determine the horizontal deflection at joint \( E \) of the truss shown in the figure if member \( BC \) is 18 mm too long and member \( CE \) is 15 mm too short. Use the method of virtual work.**Diagram Explanation:**The figure illustrates a truss structure with several members connected at joints. The structure has the following details:- Joint \( A \) is at the bottom left, fixed to the ground.- Joint \( B \) is 3 meters horizontally from \( A \).- Joint \( C \) is vertically aligned with \( A \) and \( B \), 4 meters above them.- Joint \( D \) is horizontally aligned with \( C \), to the right.- Joint \( E \) is directly above joint \( C \), another 4 meters up.The truss consists of the following members:- A vertical member between \( A \) and \( C \).- A horizontal member between \( A \) and \( B \).- A diagonal member from \( B \) to \( C \).- A diagonal member from \( B \) to \( E \).- A horizontal member from \( C \) to \( D \).- A diagonal member from \( D \) to \( E \).The angle \( \alpha = 1.2 \times 10^5 \, ^\circ C \) is noted, which might relate to thermal expansion. The problem requires determining the horizontal deflection at joint \( E \), considering specific inaccuracies in the lengths of members \( BC \) and \( CE \). The solution involves applying the principles of virtual work to account for these imperfections.

Given:- A truss is given with point A having hinge and point B having roller support The length of…

Answered: Problem 7.18 Determine the horizontal…

Problem 7.18 Determine the horizontal deflection at joint E of the truss shown in the figure if member BC is 18mm too long and member CE is 15mm too short. Use the method of virtual work. 4 m 4 m 3 m

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

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

**Problem 7.18**

Determine the horizontal deflection at joint \( E \) of the truss shown in the figure if member \( BC \) is 18 mm too long and member \( CE \) is 15 mm too short. Use the method of virtual work.

**Diagram Explanation:**

The figure illustrates a truss structure with several members connected at joints. The structure has the following details:

- Joint \( A \) is at the bottom left, fixed to the ground.
- Joint \( B \) is 3 meters horizontally from \( A \).
- Joint \( C \) is vertically aligned with \( A \) and \( B \), 4 meters above them.
- Joint \( D \) is horizontally aligned with \( C \), to the right.
- Joint \( E \) is directly above joint \( C \), another 4 meters up.

The truss consists of the following members:
- A vertical member between \( A \) and \( C \).
- A horizontal member between \( A \) and \( B \).
- A diagonal member from \( B \) to \( C \).
- A diagonal member from \( B \) to \( E \).
- A horizontal member from \( C \) to \( D \).
- A diagonal member from \( D \) to \( E \).

The angle \( \alpha = 1.2 \times 10^5 \, ^\circ C \) is noted, which might relate to thermal expansion.

The problem requires determining the horizontal deflection at joint \( E \), considering specific inaccuracies in the lengths of members \( BC \) and \( CE \). The solution involves applying the principles of virtual work to account for these imperfections.

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