Solid Mechanics | 31. Maximum principal stress theory by Abraham | Learn Smarter
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31. Maximum principal stress theory

Multiple theories of failure have been developed to understand how solid bodies yield or fail under stress. Each theory focuses on a specific aspect of stress or strain, including maximum principal stress, maximum shear stress, and distortional energy. The critical values for these theories are generally determined through tests such as tension or torsion, and real-world applications involve ensuring safety through design principles.

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Sections

  • 1

    Introduction

    This section introduces the various theories of failure in solid mechanics, emphasizing how failure occurs under stress conditions.

  • 2

    Maximum Principal Stress Theory

    The Maximum Principal Stress Theory identifies conditions under which materials fail by comparing principal stress with critical values determined from simple tension or torsion tests.

  • 3

    Maximum Shear Stress Theory

    This section introduces the Maximum Shear Stress Theory, explaining how shear stress is evaluated and the conditions for failure in materials.

  • 4

    Distortional Energy Theory

  • 5

    Example

    This section discusses different theories of failure in solid mechanics, particularly focusing on various stress and strain theories.

References

ch31.pdf

Class Notes

Memorization

What we have learnt

  • Different theories exist fo...
  • Critical values for failure...
  • Designing structures requir...

Final Test

Revision Tests