Calc Forces in Members FG, GD & CD: Virtual Work

In summary, virtual work is a method used to determine the forces acting on a structure by considering the work done by these forces. It is based on the principle of conservation of energy and provides an efficient and accurate way to analyze structures. To apply virtual work, a virtual displacement is created in the structure and the work done by external forces is equated to the work done by internal forces. This method offers advantages such as simplicity, accuracy, and the ability to analyze complex structures, but it also has limitations such as assuming static equilibrium and requiring knowledge of the structure's behavior.
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1. Calculate the forces in the members FG, GD, and CD of the truss shown in the figure by using the principle of virtual work. All horizontal and vertical members are 1m long
2. I have attached the diagram
3. I can easily calculate this using normal principles, but not understanding how to use Virtual work
 

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Find the relationship between the virtual displacements caused by the loads and the virtual displacements at the joints.
 

FAQ: Calc Forces in Members FG, GD & CD: Virtual Work

What is virtual work in terms of calculating forces in members FG, GD, and CD?

Virtual work is a method used to determine the forces acting on a structure by considering the work done by these forces. It is based on the principle of conservation of energy, where the virtual work done by the internal forces is equal to the virtual work done by the external forces.

Why is virtual work used to calculate forces in members FG, GD, and CD?

Virtual work is used because it provides an efficient and accurate method for analyzing structures. It allows us to determine the forces acting on each member without the need for complex calculations or assumptions about the behavior of the structure.

How is virtual work applied to calculate forces in members FG, GD, and CD?

To apply virtual work, we first create a virtual displacement in the structure. This displacement is small enough to not cause any real movement in the structure, but large enough to cause a change in the forces acting on the members. We then calculate the work done by the external forces and equate it to the work done by the internal forces, which allows us to solve for the unknown forces.

What are the advantages of using virtual work to calculate forces in members FG, GD, and CD?

Virtual work offers several advantages, including its simplicity and accuracy in determining forces. It also allows us to analyze complex structures with multiple members and forces, making it a versatile method for structural analysis. Additionally, virtual work takes into account the effects of both external and internal forces, providing a more comprehensive understanding of the structure.

Are there any limitations to using virtual work to calculate forces in members FG, GD, and CD?

While virtual work is a powerful tool for structural analysis, it does have some limitations. It assumes that the structure is in static equilibrium and does not account for dynamic effects or changes in the structure's geometry. It also requires some knowledge of the structure's behavior and may not be suitable for all types of structures.

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