Measuring Young's Modulus: Clamped vs Freely Supported Ends

In summary, the conversation is about a project to measure young modulus using a beam and point mass. The person has derived an equation but is unsure of the best way to place the end of the beam for the most precise results. They discuss the disadvantages of both freely supported and clamped ends and question if the clamped end should be fixed or not. They also mention that different methods of support will result in different stresses and deflections.
  • #1
adiputra
23
0
I have a project to measure young modulus by measuring the deflection of a beam under point mass. I have derived the equation but i am confused to how the end of beam should be placed to obtained best precision. Should it be both clamped end, freely supported end or a mixture of both?

My idea so far is that for both freely supported ends, its disadvantage is the reference point of x=0 might be displaced during deflecton. However, i can't think of the both clamped scenario disadvantages
 
Engineering news on Phys.org
  • #2
By clamped and do mean fixed end? By such test useally the and is free (support doesn't take any banding moments). Teoretecly u can support your beam as you want. You will have differnet stresses and different deflections.
 
  • #3
.

As a scientist, it is important to consider the experimental setup and conditions in order to obtain accurate and precise measurements of Young's modulus. In this case, the placement of the ends of the beam is a crucial factor that should be carefully considered.

Both clamped ends and freely supported ends have their own advantages and disadvantages in this experiment. For example, using both clamped ends may provide more stability and reduce the potential displacement of the reference point during deflection. However, this setup may also introduce additional stress on the beam, affecting the accuracy of the measurements.

On the other hand, using freely supported ends may reduce the stress on the beam, but it may also lead to potential displacement of the reference point during deflection. This can affect the precision of the measurements.

In order to obtain the best precision, it may be beneficial to use a mixture of both clamped and freely supported ends. This can help to balance out the advantages and disadvantages of each setup.

Furthermore, it is important to carefully control and monitor the experimental conditions, such as the applied force and the position of the point mass, in order to minimize any potential errors and ensure accurate results.

In conclusion, the choice between using clamped or freely supported ends for measuring Young's modulus should be based on careful consideration of the experimental setup and conditions. A mixture of both setups may provide the best precision, but it is important to carefully control all variables in order to obtain accurate and reliable results.
 

1. What is Young's Modulus?

Young's Modulus is a measure of the stiffness or elasticity of a material. It is defined as the ratio of stress (force applied per unit area) to strain (resulting deformation) within the elastic range of a material.

2. How do you measure Young's Modulus?

Young's Modulus can be measured using a tensile test, where a sample of the material is pulled in opposite directions until it reaches its breaking point. The stress and strain at different points during the test are recorded and used to calculate the Young's Modulus.

3. What is the difference between clamped and freely supported ends in measuring Young's Modulus?

In a clamped end setup, both ends of the sample are held firmly in place, while in a freely supported end setup, only one end is fixed and the other is allowed to move. This difference in end conditions can affect the results of the Young's Modulus measurement.

4. Which end condition is better for measuring Young's Modulus?

It is generally recommended to use a clamped end setup for measuring Young's Modulus, as it provides more accurate and consistent results. Freely supported ends can introduce errors due to potential slippage or bending of the sample.

5. Can Young's Modulus be different for different end conditions?

Yes, the Young's Modulus can vary depending on the end conditions used in the measurement. This is because the end conditions affect the distribution of stress and strain in the sample, and thus can result in different calculated values for the Young's Modulus.

Similar threads

  • General Engineering
Replies
6
Views
10K
Replies
33
Views
3K
Replies
2
Views
1K
Replies
14
Views
2K
Replies
4
Views
1K
Replies
4
Views
5K
Replies
3
Views
1K
  • Special and General Relativity
Replies
28
Views
1K
  • Advanced Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
2K
Back
Top