Question about elastic deformation.

Click For Summary

Discussion Overview

The discussion revolves around the concept of elastic deformation, specifically focusing on a problem involving a copper rod being stretched. Participants seek to understand the relationship between stress, strain, and Young's modulus, and they express a need for mathematical calculations to support their explanations.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant presents a problem involving a copper rod, asking for help with calculations related to stress and deformation.
  • Another participant inquires about the relationship between stress and strain in the context of elastic deformation.
  • There is a repeated question regarding the calculation of strain for the specific elongation of the rod from 1.000 m to 1.001 m.
  • Participants discuss the concept of Young's modulus and its relevance to the problem.
  • Clarification is sought on the appropriate units for calculations, with a note that strain is dimensionless.

Areas of Agreement / Disagreement

Participants generally agree on the need to understand the relationship between stress, strain, and Young's modulus, but the discussion remains unresolved regarding the specific calculations and interpretations of the problem.

Contextual Notes

Participants have not fully resolved the mathematical steps needed to calculate stress and strain, and there are dependencies on the definitions of terms used in the discussion.

da_coolest
Messages
15
Reaction score
0
Hi.. I need a good explanation for the following question. an explanation with a small mathematical calculation to prove the answer would be highly helpful.

A copper rod of cross-section 10 mm  10 mm is stretched along its axis, changing length from 1.000 m to 1.001 m. The deformation is elastic, or fully recoverable. Given that the modulus of copper is 110 GPa, the stress on the rod is approximately (choose the closest answer):

A 110 kPa
B 110 MPa
C 110 GPa
D 1/110 MPa
E 1/110 GPa



thanks in advance!
 
Physics news on Phys.org
What is the relationship between stress and strain for elastic deformation?

What is the strain for a bar stretched 1.000 m to 1.001 m?
 
Astronuc said:
What is the relationship between stress and strain for elastic deformation?

What is the strain for a bar stretched 1.000 m to 1.001 m?

young's modulus

thanks, now i got an idea about how to do the calculation. to which units i should convert these into when calculating?
 
da_coolest said:
young's modulus

thanks, now i got an idea about how to do the calculation. to which units i should convert these into when calculating?

Strain is a ratio, and is dimensionless, or written as m/m or cm/cm or in/in.
 

Similar threads

Stress and deformation compressed cube
  • · Replies 4 ·
Replies
4
Views
3K
Calculate the bulk modulus and Derive the mean standard deviation
  • · Replies 5 ·
Replies
5
Views
2K
How to calculate elastic modulus
  • · Replies 53 ·
2
Replies
53
Views
10K
Mechanics of Materials: Deformation of a Hollow Cylinder
  • · Replies 3 ·
Replies
3
Views
11K
Elastic deformation of axially loaded members
  • · Replies 16 ·
Replies
16
Views
4K
Help Poisson's Ratio Calculation Problem
  • · Replies 2 ·
Replies
2
Views
2K
Axisymmetric deformation in ANSYS
  • · Replies 3 ·
Replies
3
Views
5K
Determine the amount of elastic strain induced.
  • · Replies 1 ·
Replies
1
Views
10K
Mechanical Bending Moment and Rod Deformation Calculations
  • · Replies 3 ·
Replies
3
Views
2K
What is the Stress in a Bolt and Spacer System?
  • · Replies 48 ·
2
Replies
48
Views
11K