Failure Theories - Machine Element and System Design
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Failure Theories

Failure Theories

Failure theories are essential in predicting whether materials or structures will fail under various loads. This chapter covers static failure theories, such as maximum normal stress and shear stress theories, as well as fatigue failure theories that address cyclic stress applications. It emphasizes the importance of effectively applying a factor of safety and understanding stress concentration factors in design processes.

12 sections

Sections

Navigate through the learning materials and practice exercises.

  1. 1
    Introduction To Failure Theories

    This section introduces various failure theories that predict when machine...

  2. 2
    Static Failure Theories

    This section explores static failure theories that predict the failure of...

  3. 2.1
    Maximum Normal Stress Theory (Rankine Theory)

    The Maximum Normal Stress Theory, also known as Rankine Theory, predicts...

  4. 2.2
    Maximum Shear Stress Theory (Tresca Theory)

    The Maximum Shear Stress Theory, also known as Tresca Theory, predicts...

  5. 2.3
    Distortion Energy Theory (Von Mises Theory)

    The Distortion Energy Theory, also known as von Mises Theory, predicts...

  6. 2.4
    Von Mises Stress

    The von Mises Stress theory predicts failure in ductile materials by...

  7. 2.5
    Factor Of Safety (Fos)

    The Factor of Safety (FoS) is a key design metric that ensures a structure's...

  8. 3
    Stress Concentration Factors (Scf)

    Stress concentration factors quantify localized stress increases in...

  9. 4
    Fatigue Failure Theories

    This section explores fatigue failure theories that predict material failure...

  10. 4.1

    This section introduces key terms and theories related to failure mechanisms...

  11. 4.2
    Failure Criteria

    This section explores various failure theories used in engineering to...

  12. 5
    Applications

    This section discusses the various applications of failure theories in...

What we have learnt

  • Failure occurs when materials experience excessive deformation, fracture, or fatigue.
  • Static failure theories help assess the safety of components under constant loads.
  • Fatigue theories highlight that materials can fail over time with cyclic or fluctuating stresses.

Key Concepts

-- Maximum Normal Stress Theory
Predicts failure in brittle materials when the maximum principal stress exceeds the yield stress.
-- Maximum Shear Stress Theory
States failure occurs when the maximum shear stress is equal to or exceeds the shear yield strength, applicable for ductile materials.
-- von Mises Stress
A derived scalar stress used for assessing ductile material failure compared to the yield strength.
-- Stress Concentration Factors
A measure of localized increase in stress at points of discontinuity due to geometric features like notches or holes.
-- Endurance Limit
The maximum stress level that can be applied for an infinite number of cycles without causing fatigue failure.

Additional Learning Materials

Supplementary resources to enhance your learning experience.