Maximum Strain of Steel in Space Elevator Design | Physics Homework Help

[exibo177]

Homework Statement

Alright, so I have this final project in physics which was due yesterday and I'm turning it in late because i have a problem with understanding one thing.
so the project it about space elevators and the teacher asked me to make calculations about what is the maximum height of strongest modern material (steel) as a rod, until it tears itself down...

Homework Equations

I think of using the equation:
F/A=E*strain

The Attempt at a Solution

F/A for steel is 500x10^6
and E for steel is 200x10^6

i don't know how to calculate strain though, as i don't know initial length or change in length so could you please help me with this? with explanations

 

[PhanthomJay]

You don't need to look at the strain, only the stress, P/A. Look up the density of steel and caculate the length at which its breaking stress will be exceeded at the top of the rod.

 

[exibo177]

You don't need to look at the strain, only the stress, P/A. Look up the density of steel and caculate the length at which its breaking stress will be exceeded at the top of the rod.

Alright, but how do i calculate the breaking stress??

 

[PhanthomJay]

Alright, but how do i calculate the breaking stress??

I guess you can use the 500 Mpa value you listed.

 

[DeeNos]

Hi there,

The maximum strain of steel in a space elevator design is an important factor to consider. Strain is a measure of how much a material deforms under stress, and it can be calculated using the equation you mentioned: F/A=E*strain. In this equation, F is the force applied to the material, A is the cross-sectional area of the material, and E is the modulus of elasticity for the material.

In order to calculate the maximum strain of steel in a space elevator design, you will need to know the force and cross-sectional area of the steel rod. The force will depend on the weight of the elevator and any additional loads it may experience. The cross-sectional area will depend on the diameter of the steel rod used in the design.

Once you have these values, you can plug them into the equation and solve for the maximum strain. Keep in mind that the maximum strain will be the point at which the material starts to deform significantly or fail completely. This is an important factor to consider in the design of a space elevator, as it could affect the safety and stability of the structure.

I hope this helps clarify the concept of maximum strain in a space elevator design. If you need more assistance, don't hesitate to reach out to your teacher or a tutor for further guidance. Good luck with your project!