**Problem 4/9:****Determine the force in each member of the loaded truss. Make use of the symmetry of the truss and of the loading.**### Diagram Explanation:The diagram depicts a truss structure with several members connected at various joints. The truss spans horizontally and is influenced by vertical forces at specific points.- The truss has five joints labeled A, B, C, D, and E.- The horizontal distances between each joint are measured as follows: AB = 5 m, BC = 5 m, CD = 5 m, and DE = 5 m.- There are three vertical members labeled BH, CG, and DF, each with a height of 4 m.- Three vertical forces act downward at points H, G, and F: - At H: 30 kN - At G: 60 kN - At F: 30 kN### Symmetry in Truss:The truss is symmetric about the center vertical line through joint G. This implies that the forces in members BH and DF as well as in members AB and DE are equal. Similarly, the forces in members BC and CD are symmetrically equal due to the loading conditions and the geometry of the truss.### Points to Note:- Point A is fixed (represented with a triangle), which likely means it is a pinned support that can resist both horizontal and vertical forces but not a moment.- Point E is on a roller support (represented with a circle), indicating it can resist vertical forces but allow horizontal movement.The determination of the forces typically involves using methods such as the method of joints or the method of sections, leveraging the symmetry to simplify calculations.

Given the above truss symmetrical in loading and geometry about member CG. Using method of joints…

Answered: 4/9 Determine the force in each member…

4/9 Determine the force in each member of the loaded truss. Make use of the symmetry of the truss and of the loading. B C D E 5 m A 4 m H 30 kN 5 m 5 m G 60 KN PROBLEM 4/9 F 30 kN 5 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

Braced cuts

The braced cut is a method of providing lateral support to the soil in foundation trenches, to prevent the trenches from deformation by the caving in of soil and resisting it from moving laterally. During shallow excavation in firm soil, generally, slopes are provided to resist the caving in of soil. During shallow excavation in soft soil and deep excavation, the chances of caving in of soil increase. Hence, it becomes necessary to make a provision to resist the deformation of trenches due to caving in of soil. The braced cut is the method used for such conditions. The excavation using braced cuts is a bit uneconomical as compared to the traditional open-cut excavation method but provides better safety than the cut excavation method.

Question

**Problem 4/9:**

**Determine the force in each member of the loaded truss. Make use of the symmetry of the truss and of the loading.**

### Diagram Explanation:
The diagram depicts a truss structure with several members connected at various joints. The truss spans horizontally and is influenced by vertical forces at specific points.

- The truss has five joints labeled A, B, C, D, and E.
- The horizontal distances between each joint are measured as follows: AB = 5 m, BC = 5 m, CD = 5 m, and DE = 5 m.
- There are three vertical members labeled BH, CG, and DF, each with a height of 4 m.
- Three vertical forces act downward at points H, G, and F:
- At H: 30 kN
- At G: 60 kN
- At F: 30 kN

### Symmetry in Truss:
The truss is symmetric about the center vertical line through joint G. This implies that the forces in members BH and DF as well as in members AB and DE are equal. Similarly, the forces in members BC and CD are symmetrically equal due to the loading conditions and the geometry of the truss.

### Points to Note:
- Point A is fixed (represented with a triangle), which likely means it is a pinned support that can resist both horizontal and vertical forces but not a moment.
- Point E is on a roller support (represented with a circle), indicating it can resist vertical forces but allow horizontal movement.

The determination of the forces typically involves using methods such as the method of joints or the method of sections, leveraging the symmetry to simplify calculations.

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