Calculate maximum allowable stress

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SUMMARY

The discussion centers on calculating the minimum thickness and maximum allowable design stress for a sialon plate subjected to a tensile load of 177.92 kN. The relevant formulae include Kic = Y * σ * √(π * a) and σ allowable = FORCE/AREA, where Kic is the fracture toughness, Y is a dimensionless factor, and σ is the allowable stress. Participants emphasize the need to incorporate thickness into stress calculations, noting that stress in a plate differs from direct tension formulas. Non-destructive testing methods using x-ray radiology are also highlighted for flaw detection in the material.

PREREQUISITES
  • Understanding of fracture mechanics, specifically Kic and its application.
  • Familiarity with stress calculations in materials, including tensile stress and area considerations.
  • Knowledge of non-destructive testing methods, particularly x-ray radiology.
  • Basic principles of material science, especially regarding advanced engineering materials like sialon.
NEXT STEPS
  • Research the application of Kic in various materials and its significance in design.
  • Learn about calculating stress in plates versus direct tension using structural engineering principles.
  • Explore non-destructive testing techniques and their effectiveness in detecting material flaws.
  • Investigate advanced engineering materials, focusing on the properties and applications of sialon.
USEFUL FOR

Engineers, materials scientists, and quality assurance professionals involved in the design and testing of high-performance materials, particularly those working with ceramics and advanced composites.

cd19
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1. A decision has been made to make a plate out of an advanced engineering material ceramic that has better high temperature and wear properties than alloys. The plate must withstand a tensile load of 177.92kN. The part will be non-destructively tested to ensure that no flaws are present that might cause failure. A company offers non-destructive testing methods using x-ray radiology that can detect flaws larger than 0.05 cm. Assume Y=1.0. Determine the minimum thickness for a 7.5mm wide plate made of sialon (Kic = 9.9 Mpa\sqrt{}m) . Also calculate the maximum allowable design stress.



2. Kic = Y*\sigma*sqrt{\pi*a}

\sigma allowable = FORCE/AREA



3. I just don't see how to factor in the 'thickness' into my calculations and so i cannot begin with my calculations. Can someone help me with this please.
 
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