Young's Modulus of Elasticity Problems -

Click For Summary
SUMMARY

The discussion centers on calculating Young's Modulus of Elasticity for three materials using provided stress and strain data. The formula used is ε = Stress / Strain, but the calculated values vary significantly, indicating potential issues with the data or methodology. Participants emphasize the importance of using the slope of the stress-strain graph in the linear region to determine Young's Modulus accurately. The correct approach involves plotting the data, identifying the linear region, and calculating the gradient to find the modulus.

PREREQUISITES
  • Understanding of stress and strain concepts in materials science
  • Familiarity with the formula for Young's Modulus (E = Stress / Strain)
  • Ability to interpret stress-strain graphs
  • Basic knowledge of graphing techniques and slope calculations
NEXT STEPS
  • Learn how to accurately plot stress-strain graphs for material testing
  • Research methods for determining Young's Modulus from non-linear data
  • Explore the significance of the linear region in stress-strain curves
  • Investigate common errors in measuring strain and their impact on calculations
USEFUL FOR

Students and professionals in materials science, mechanical engineering, and structural engineering who need to calculate and interpret Young's Modulus for various materials.

  • #31
Still having problems finding which materials they are. Material Y young's modulus is 270 GPa and looking at the stress strain graph it has a UTS of 700 MPa. I can't find a material which matches this, please help. Chromium has a Young's Modulus of 279 GPa but i can't find the UTS anywhere.
 
Physics news on Phys.org
  • #32
joe465 said:
Still having problems finding which materials they are. Material Y young's modulus is 270 GPa and looking at the stress strain graph it has a UTS of 700 MPa. I can't find a material which matches this, please help. Chromium has a Young's Modulus of 279 GPa but i can't find the UTS anywhere.

Steel looks like a possibility.
 
  • #33
Yeah i went for steel because the stress strain shows two yield points which is a common steel reflection. Now just material Z. My tutor said it should be between 500-600 Pascals but i can't get this value at all no matter which units i use?

Stress Strain
70 0.06
100 0.11
150 0.22
200 0.35
220 0.48

Thats material Z's Stress-Strain Data.
 
  • #34
I fit a quadratic to these points, and got ~700 Pa at ~0 Pa stress. That should be good enough. If the units are really Pascals, I don't know of any materials with that low a Young's modulus.
 

Similar threads

Finding the elastic modulus of a metal in a mixed phase
  • · Replies 1 ·
Replies
1
Views
2K
How to calculate elastic modulus
  • · Replies 53 ·
2
Replies
53
Views
10K
How to plot stress - strain and work out the Young's modulus
  • · Replies 4 ·
Replies
4
Views
4K
Calculating Young's Modulus for a Cylinder with Given Pressure and Bulk Modulus
  • · Replies 2 ·
Replies
2
Views
3K
Young's modulus, stretching question.
  • · Replies 2 ·
Replies
2
Views
3K
Confusion Calculating Young's Modulus
  • · Replies 5 ·
Replies
5
Views
2K
How Do You Calculate Elastic Modulus and Strengths from a Stress-Strain Curve?
  • · Replies 3 ·
Replies
3
Views
3K
Finding Engineering Strain Just Before Yield for Wire w/ Modulus of Elasticity
  • · Replies 2 ·
Replies
2
Views
2K
Calculating Poisson's Ratio with a Modulus of Rigidity & Young's Modulus
  • · Replies 2 ·
Replies
2
Views
4K
High School Why is Young's modulus constant below the limit of proportionality?
  • · Replies 23 ·
Replies
23
Views
5K