Kinetic Energy and Shear Stress: Investigating the Relationship

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SUMMARY

The discussion focuses on the relationship between kinetic energy and shear stress in the context of a collision involving a red plate deformed by 4 mm due to an impact of 10,000 J of kinetic energy. The participants suggest using the stiffness of the red plate to calculate the force acting on it, although initial force values appear unrealistic. Additionally, the conversation references the Charpy energy test and the importance of bolt standards, such as A193 B7 and B8, in determining toughness requirements for the bolts under shear stress conditions.

PREREQUISITES
  • Understanding of kinetic energy and its measurement in joules.
  • Knowledge of shear stress and its implications in material science.
  • Familiarity with stiffness calculations and the force/deflection relationship.
  • Awareness of bolt standards, specifically ASTM A193 B7 and B8.
NEXT STEPS
  • Research the Charpy impact test and its relevance to material toughness.
  • Study the relationship between stiffness, force, and deflection in structural engineering.
  • Examine the mechanical properties of bolts, focusing on ASTM A193 standards.
  • Explore material science equations related to shear stress and deformation.
USEFUL FOR

Engineers, material scientists, and anyone involved in structural analysis or mechanical design, particularly those working with impact forces and bolt integrity.

bhaazee
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Please have a look at the attached image.
The two blue plates (rigid) are bolted to a red plate. Now an object with 10000 J of Kinetic energy hits the red plate and the red plate is deformed by 4 mm in the direction of energy. Due to this collision, the bolts encounter a shear stress. Can someone help me in finding the relationship between the kinetic energy and the shear stress?

One possibility is, since the maximum deformation of the red plate is 4 mm by Stiffness = Force/deflection relationship, knowing the stiffness of the red plate, the force acting on the plate can be calculated. However, the ontained force values seem unrealistic. I wish that someone confirms this procedure.

Regards.
 

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your basically doing a charpy energy test. E.g. energy required to break the bolt. If you know what standard of bolts your using, e.g A193 B7, B8, etc, you can find the toughness requirements for those bolts. Impact energy is basically measured by experimental tests and is dependent on material properties.
I don't believe there is any material science equations to measure this
 
Got it. Thnx for the info.
 

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