Finding displacement at a point in truss

In summary, the conversation is discussing the calculation of values for µ in a truss using the virtual work method. The values represent the internal forces in each member when a unit load of 1 is applied at a specific joint in the direction of the desired displacement. Positive values indicate tension forces, negative values indicate compression forces, and zero represents no force. The value of µ is not explicitly stated in the book, but it can be calculated using the given solution.
  • #1
fonseh
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Homework Statement


For the circled part , how to get the +1.33 , -1.67 , +1 ? What are they ? Are they the µ ?

Homework Equations

The Attempt at a Solution


What is µ ? How to get the value ? It's not stated in my book though
 

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  • #2
fonseh said:

Homework Statement


For the circled part , how to get the +1.33 , -1.67 , +1 ? What are they ? Are they the µ ?

Homework Equations

The Attempt at a Solution


What is µ ? How to get the value ? It's not stated in my book though
I would be surprised if it wasn't stated in your book. Your attempt is a question, not an attempt. The value of u is the dimensionless ''force' in each member when a unit load of 1 (dimensionless) is applied at the given joint in the direction of the displacement you want to calculate for that joint. You should now make an attempt to understand the given solution.
 
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  • #3
The method used here is the virtual work method for trusses and mu are the internal force in each member due to a unit load of 1 applied at point E.
Positive values indicate that the member is under tension forces, negative under compression forces
 
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1. What is the definition of displacement in a truss?

The displacement in a truss refers to the change in position or movement of a specific point in the truss structure. It is typically measured in terms of linear or angular displacement.

2. How is displacement calculated in a truss?

The displacement at a point in a truss can be calculated using the principles of statics and structural analysis. It involves determining the forces acting on the truss members and using equations of equilibrium to solve for the displacement at the desired point.

3. Why is finding displacement important in truss analysis?

Knowing the displacement at a point in a truss is crucial for ensuring the structural stability and integrity of the entire truss system. It also allows engineers to determine the stress and strain on the truss members, which can help identify potential failure points.

4. What factors can affect the displacement at a point in a truss?

The displacement at a point in a truss can be influenced by various factors such as the magnitude and direction of external forces, the material properties of the truss members, and the geometry and support conditions of the truss.

5. How can the displacement at a point in a truss be controlled?

The displacement at a point in a truss can be controlled by adjusting the design of the truss, such as changing the geometry or material properties, or by adding additional support or reinforcement to the truss members. It is also important to consider the maximum allowable displacement for a given truss in order to ensure its structural stability.

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