Need help to solve hyperstatic system problem by Virtual work method

In summary, a hyperstatic system is a structural system that cannot be solved using traditional methods due to having more unknown reactions than available equilibrium equations. The Virtual Work Method is a technique that breaks down the system into smaller parts and uses the principle of virtual work to solve for these unknown reactions. It offers advantages such as solving systems that cannot be solved traditionally, providing more accurate solutions, and being applicable to both linear and nonlinear systems. However, it also has limitations such as only being usable for systems in static equilibrium and requiring a good understanding of structural mechanics and mathematics to be effectively applied.
  • #1
mmnn
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Homework Statement


anyone guide me step by step how to use virtual work method to calculate all reactions on this beam?

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thanks


Homework Equations





The Attempt at a Solution

 
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1. What is a hyperstatic system?

A hyperstatic system is a structural system that has more unknown reactions than the number of equilibrium equations available to solve them. This means that the system is statically indeterminate and cannot be solved using traditional methods.

2. What is the Virtual Work Method?

The Virtual Work Method is a technique used to solve hyperstatic systems by considering the work done by external forces and internal forces in the system. It involves breaking down the system into smaller, simpler parts and using the principle of virtual work to find the unknown reactions.

3. How does the Virtual Work Method work?

The Virtual Work Method uses the principle of virtual work, which states that the sum of the virtual work done by all external forces acting on a system is equal to the virtual work done by the internal forces in the system. This allows us to set up equations and solve for the unknown reactions in a hyperstatic system.

4. What are the advantages of using the Virtual Work Method?

The Virtual Work Method allows us to solve hyperstatic systems that cannot be solved using traditional methods. It also provides a more accurate solution by taking into account the effects of internal forces on the system. Additionally, it can be used for both linear and nonlinear systems.

5. Are there any limitations to using the Virtual Work Method?

While the Virtual Work Method is a powerful tool for solving hyperstatic systems, it does have some limitations. It can only be used for systems in static equilibrium, and it may be more time-consuming and complex compared to traditional methods. It also requires a good understanding of structural mechanics and mathematics to apply effectively.

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