How Much Shear Force Can PVC Withstand Without Fracturing?

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SUMMARY

The discussion focuses on calculating the maximum shear force that PVC can withstand without fracturing, utilizing its material properties. The shear modulus (G) is calculated to be 481 N/mm² based on the E-modulus of 1300 N/mm² and Poisson's ratio of 0.35. The maximum shear force that can be applied to the resisting area of 28 mm² is determined to be 13,468 N. Additionally, the relationship between shear yield point and uniaxial yield point is explored using the Von Mises criterion, emphasizing the need for further information on the material's maximum tensile stress and the parameter μ.

PREREQUISITES
  • Understanding of shear modulus and its calculation
  • Familiarity with PVC material properties
  • Knowledge of the Von Mises yield criterion
  • Basic principles of stress and strain in materials
NEXT STEPS
  • Research the maximum tensile stress of PVC and its implications for shear force calculations
  • Explore methods to determine the material parameter μ for PVC
  • Study the relationship between shear yield point and uniaxial yield point in polymers
  • Learn about stress testing methodologies for plastic materials
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Engineers, material scientists, and anyone involved in the design and analysis of PVC applications, particularly in structural and mechanical contexts.

risecolt
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Material: PVC
E-modulus: 1300 N/mm^2
Poisson's ratio: 0.35
Applied shear force: 100 N
Resisting area: 28 mm^2

Shear modulus: E = 2G(1+v) --> G = E/(2(1+v)) = 1300/(2(1+0.35) = 481 N/mm^2

Does this mean that a force which can be applied to the area without fracturing is 481 N/mm^2 * 28 mm^2?

I just need to know. How can I use this information to calculate how much shear force the area can be exposed to?
 
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G is the ratio of shear stress to shear strain, analogous to E being the ratio of tensile stress to tensile strain.

In order to answer your question about maximum shear stress of PVC, you will have to find out more information about the material (e.g., max. tensile stress) The max. shear stress is usually expressed as a factor * ult. tensile stress for ductile materials like metals. For plastics like PVC, there may be a different relationship.
 
SteamKing said:
G is the ratio of shear stress to shear strain, analogous to E being the ratio of tensile stress to tensile strain.

In order to answer your question about maximum shear stress of PVC, you will have to find out more information about the material (e.g., max. tensile stress) The max. shear stress is usually expressed as a factor * ult. tensile stress for ductile materials like metals. For plastics like PVC, there may be a different relationship.

I have an equation for polymers which describes the relationship between the shear yield point and uniaxial yield point based on the Von Mises criterion:

τy = ( ((1+μ)/sqrt(3)) /sqrt(3) ) * σy

From a diagram plotted by a stress test, I have the value for uniaxial yield point σy; the point where the material becomes subject to plastic deformation.

μ is a material parameter which determines the change in yield point with respect to a change in pressure. But I'm not sure how I can acquire this parameter, nor can I find any tables for this parameter. Neither do I know the name of this parameter. Is it effective viscosity?
 

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