Axial deformation in composite beam

Click For Summary
SUMMARY

The discussion focuses on calculating the elongation of a composite beam, specifically a pencil composed of two materials under axial load. The formula for deflection, deflection = PL/AE, must be modified to account for the two materials, as both materials extend equally under load. Participants emphasize the need to establish separate equations for the deformation of each material, denoting the axial forces as P1 for material 1 and P2 for material 2. The conversation highlights the importance of understanding the interaction between the materials to accurately compute the overall elongation.

PREREQUISITES
  • Understanding of axial deformation principles
  • Familiarity with composite material mechanics
  • Knowledge of the formula deflection = PL/AE
  • Basic skills in setting up equations for mechanical systems
NEXT STEPS
  • Research composite beam theory and its applications
  • Learn about the interaction of materials under axial loads
  • Study methods for calculating deformation in composite structures
  • Explore advanced topics in material mechanics, such as stress distribution
USEFUL FOR

Mechanical engineers, materials scientists, and students studying composite materials or structural analysis will benefit from this discussion.

gematt7
Messages
4
Reaction score
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?
 
Physics news on Phys.org
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.
 
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.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
6
Views
2K
Replies
7
Views
7K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K