How to get the elongation with modulus of elasticity as the given?

In summary, elongation is the increase in length of a material when subjected to a tensile force, while modulus of elasticity is a measure of how much a material can stretch or compress under a given amount of stress. Elongation with modulus of elasticity is calculated by dividing the change in length by the original length and multiplying by the modulus of elasticity. The factors that affect this property include the material type, composition and structure, stress applied, and temperature. It can be used to compare the stiffness and flexibility of different materials, and is also useful in determining the strength and durability of materials in engineering and design.
  • #1
makubexiii
1
0
How can I get the elongation if I'm given with only the modulus of elasticity?
what will be the formula?

THnx..
 
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  • #2
Are you talking about the extension of a spring? (Hooke's law?)

Hooke's law is [itex]F = kx[/itex]

where F is the force applied to the spring, k is the modulus (spring constant), and x is the extension of the spring from its natural length.
 
  • #3


I can provide you with the formula to calculate elongation using modulus of elasticity. The formula is:
Elongation = (Stress x Length) / (Modulus of elasticity x Area)
Where:
- Elongation is the change in length of the material
- Stress is the force applied to the material
- Length is the original length of the material
- Modulus of elasticity is a measure of the material's stiffness or resistance to deformation
- Area is the cross-sectional area of the material

To get the elongation, you will need to know the stress applied to the material, its original length, and the cross-sectional area. Once you have these values, you can plug them into the formula and calculate the elongation. I hope this helps.
 

Related to How to get the elongation with modulus of elasticity as the given?

1. What is elongation and modulus of elasticity?

Elongation is the increase in length of a material when subjected to a tensile force. Modulus of elasticity, also known as Young's modulus, is a measure of how much a material can stretch or compress under a given amount of stress.

2. How is elongation with modulus of elasticity calculated?

Elongation with modulus of elasticity is calculated by dividing the change in length of the material by its original length, and then multiplying by the modulus of elasticity.

3. What factors affect the elongation with modulus of elasticity?

The factors that affect elongation with modulus of elasticity include the type of material, its composition and structure, the amount of stress applied, and the temperature at which the material is tested.

4. Can elongation with modulus of elasticity be used to compare different materials?

Yes, elongation with modulus of elasticity can be used to compare the relative stiffness and flexibility of different materials. A higher modulus of elasticity indicates a stiffer material, while a lower modulus of elasticity indicates a more flexible material.

5. How can elongation with modulus of elasticity be useful in engineering and design?

Elongation with modulus of elasticity is an important property to consider in engineering and design, as it can help determine the strength and durability of materials. It can also be used to predict how a material will behave under different types of stress and help in selecting the most appropriate material for a specific application.

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