Calculating Young's Modulus for a Cylinder with Given Pressure and Bulk Modulus

Click For Summary
SUMMARY

The discussion focuses on calculating Young's Modulus for a cylinder with a volume of 8000 m³, subjected to a pressure of 80 MPa and a Bulk Modulus of 74 MPa. The user initially calculates volumetric strain using the formula Volumetric Strain = Pressure / Bulk Modulus, resulting in a value of 1.081. They then attempt to compute Young's Modulus using both the stress-strain relationship and the Bulk Modulus formula, yielding conflicting results of 592.05 GPa and 88.8 MPa, respectively. The user seeks clarification on their calculations and the correct approach to determine the material type.

PREREQUISITES
  • Understanding of Bulk Modulus and its application in material science
  • Knowledge of volumetric strain and its calculation
  • Familiarity with the relationship between stress, strain, and Young's Modulus
  • Basic principles of mechanics of materials
NEXT STEPS
  • Review the derivation and application of the formula E = 3K(1-2v) for calculating Young's Modulus
  • Study the relationship between stress, strain, and Young's Modulus in detail
  • Explore methods for accurately determining the area of a cylinder to calculate stress
  • Investigate common material types and their corresponding Young's Modulus values for comparison
USEFUL FOR

Engineers, material scientists, and students studying mechanics of materials who are interested in understanding the calculations related to Young's Modulus and material properties under pressure.

ErnieChicken
Messages
31
Reaction score
0
Hey Guys, I am new to the forums but have seen you guys help a lot with pointing people in the right direction.

Here is my problem:
A Cylinder with a Volume of 8000m3 has a pressure of 80MPa, Bulk Modulus of 74 MPa. I need to calculate the Young s modulus and determine the material type.

So Far here is what i have:

Using Bulk Modulus, Volumetric Strain can be found:
Bulk Modulus K = Pressure / Volumetric Strain
Volumetric Strain = Pressure / Bulk Modulus K = 80 x 106 Pa / 74 x 106 Pa = 1.081
Volumetric Strain Can also be determined using this formula:
Volumetric Strain = Change in Volume / Volume
Then the Change in Volume can be found using the Volumetric Strain:
Change in Volume = Volumetric Strain x Volume = 1.081 x 8000m3 = 8648m3

My train of thought with calculating the youngs modulus is to use

E = Stress (Volume x Pressure) / Volumetric strain
So E = 592.05 GPa

Or by Using K
E = 3K(1-2v) --> 3x74MPa x (1-0.6) = 88.8MPa

But neither answer looks right. Have i overlooked something here?

Your input will be greatly appreciated.
 
Physics news on Phys.org
well. i think bulk modulus =direct stress/ vol strain .here pr stress
 
Thanks for the reply Praveen. I have looked at going back and getting the area of the cylinder and working through stress and strain but I am getting x10^6 numbers which is low for the elastic modulus.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 53 ·
2
Replies
53
Views
10K
Replies
5
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 61 ·
3
Replies
61
Views
13K
  • · Replies 9 ·
Replies
9
Views
4K
Replies
4
Views
3K