Thermal expansion of solid cylinder with blind hole

In summary, the conversation discusses a 20mm diameter solid rod of stainless steel with a 5mm hole in the center and varying wall thickness. The question being explored is whether the amount of material in the rod will affect the expansion of the hole when heated. It is concluded that the amount of material does not impact the hole expansion.
  • #1
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Friends,

I have a 20mm dia.,30mm height, solid rod of stainless steel with a hole of dia.5mm, depth of 15mm at the center of the rod.(solid rod with a blind hole). Means wall thickness is 7.5mm radially and 15mm thick at the bottom. When I heat the solid rod to a temperature, we are sure the hole dia. will also increase(expand) in size; say to dia.5.05mm. My question is, does the amount of material (radial thickness 7.5mm) influence the amount of hole expansion. Will the amount of material control the expansion-contraction ? my ideas is to play on the wall thickness to control the radial expansion...

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  • #2
Hi there,

From my understanding, it does not matter. If you have another rode with the same hole, but 100 or 1'000 times the rode size, you will have the same hole expansion.

Cheers
 
  • #3
LIGHT: Thermal Expansion of Solid Cylinder with Blind Hole

Hello friends,

I am happy to see your interest in thermal expansion and its effects on solid cylinders with blind holes. I can certainly provide some insight into your questions.

Firstly, let's discuss the basic principles of thermal expansion. When a solid material is heated, its molecules vibrate more vigorously, causing them to take up more space. This results in an increase in the size of the material, known as thermal expansion. This expansion is uniform in all directions, including the diameter of a solid cylinder.

Now, let's consider the effect of a blind hole on the thermal expansion of a solid cylinder. As you correctly pointed out, the diameter of the hole will also expand when the solid cylinder is heated. This is because the molecules of the material surrounding the hole will also vibrate and take up more space, causing the hole to increase in size.

To answer your question, yes, the amount of material (radial thickness) will influence the amount of hole expansion. This is because a thicker wall will have more molecules that can vibrate and contribute to the overall thermal expansion. However, the difference in expansion between a 7.5mm thickness and a 15mm thickness may not be significant enough to control the expansion-contraction of the hole.

In order to control the radial expansion of the hole, you may need to play with the material properties, such as its coefficient of thermal expansion, or use different materials with varying thermal expansion rates. Additionally, the temperature at which the cylinder is heated will also play a role in the amount of expansion.

I hope this helps to answer your questions and provides some direction for your experiments. As always, further research and testing may be necessary to fully understand the effects of thermal expansion on solid cylinders with blind holes. Keep exploring and learning!
 

1. What is thermal expansion?

Thermal expansion refers to the tendency of a material to expand or contract in response to changes in temperature. This phenomenon occurs because as a material's temperature increases, the particles within it vibrate faster and take up more space, causing the material to expand. Conversely, as the temperature decreases, the particles vibrate less and the material contracts.

2. How does thermal expansion affect solid cylinders with blind holes?

In solid cylinders with blind holes, the material will expand or contract in response to changes in temperature, just like any other material. However, the presence of the blind hole can cause the cylinder to deform in a specific way. As the temperature increases, the material will expand and the blind hole will also expand, but since it is closed on one end, the material will push outwards and cause the cylinder to bulge.

3. What factors can affect the amount of thermal expansion in a solid cylinder with a blind hole?

The amount of thermal expansion in a solid cylinder with a blind hole can be affected by several factors, including the material's coefficient of thermal expansion, the dimensions of the cylinder and the blind hole, and the difference in temperature between the initial and final states.

4. How is thermal expansion of solid cylinders with blind holes calculated?

The thermal expansion of solid cylinders with blind holes can be calculated using the formula: ΔL = αLΔT, where ΔL is the change in length, α is the coefficient of thermal expansion, L is the original length of the cylinder, and ΔT is the change in temperature.

5. How is thermal expansion of solid cylinders with blind holes useful in practical applications?

The thermal expansion of solid cylinders with blind holes can be useful in various practical applications, such as in the construction of bridges and buildings. By taking into account the thermal expansion of materials, engineers can design structures that can withstand changes in temperature without causing damage. This is also important in the manufacturing industry, where precise measurements and tolerances are necessary for the proper functioning of machines and equipment.

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