Axial deformation in composite beam

In summary, the conversation discusses the calculation of elongation for a pencil subjected to a load. The equation used is deflection = PL/AE, but since the pencil has two materials, the equation needs to be modified. It is noted that both materials experience the same amount of deformation and equations need to be set up for the deformation of each part, with P1 being the axial force on material 1 and P2 being the axial force on material 2. The person asking for help is reminded to follow the required homework template.
  • #1
gematt7
4
0
I have to calculate the elongation of a pencil under a load.
I know I have to use deflection = PL/AE but since the pencil has 2 materials in it I have to modify that equation.

I know that both materials extend by the same amount.

Could anyone explain to me how to get that equation?
 
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  • #2
Yes, you have noted that the deformations of each material are the same, assuming no slippage between the component parts. A portion of the applied load is carried by each material. Set up equations for the deformation of each part.
 
  • #3
gematt7: I agree with the post by PhanthomJay. Hint: P1 is the axial force on material 1; P2 is the axial force on material 2. Set up the equations for the deformation of each part. We are not allowed to set up the equations for you. It appears you deleted the required homework template.
 

Related to Axial deformation in composite beam

1. What is axial deformation in composite beams?

Axial deformation in composite beams refers to the change in length or shape of a beam due to an applied axial load (force along the length of the beam). It is a common phenomenon in composite materials, which are made up of two or more different materials with different properties.

2. How does axial deformation affect the overall strength of a composite beam?

The amount of axial deformation in a composite beam can have a significant impact on its overall strength. If the deformation is too high, it can cause the beam to fail or become unstable. Therefore, it is important to carefully consider the amount of axial deformation allowed in the design of a composite beam.

3. What factors contribute to axial deformation in composite beams?

There are several factors that can contribute to axial deformation in composite beams, such as the type of materials used, the geometry of the beam, the magnitude and direction of the applied load, and the boundary conditions. It is important to consider all of these factors when designing a composite beam to minimize the potential for axial deformation.

4. How can axial deformation in composite beams be minimized?

There are several techniques that can be used to minimize axial deformation in composite beams. These include using materials with high stiffness and strength, optimizing the beam's shape and dimensions, and using reinforcement techniques such as adding ribs or stiffeners. It is also important to carefully analyze the load and boundary conditions to ensure they are appropriate for the intended use of the beam.

5. Can the amount of axial deformation in a composite beam be predicted or controlled?

Yes, the amount of axial deformation in a composite beam can be predicted and controlled through mathematical modeling and simulation. By using advanced analysis techniques, engineers can determine the expected amount of deformation and adjust the design accordingly to meet the desired performance criteria.

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