PPT: Theories of Failure Mechanical Engineering Notes | EduRev

Strength of Materials (SOM)

Mechanical Engineering : PPT: Theories of Failure Mechanical Engineering Notes | EduRev

 Page 1


Introduction
Failing Factors
Principal or Normal Stress
Stress
Shear Stress
Strain Principal Strain
Maximum Strain Energy
Energy
Shear Strain Energy
Page 2


Introduction
Failing Factors
Principal or Normal Stress
Stress
Shear Stress
Strain Principal Strain
Maximum Strain Energy
Energy
Shear Strain Energy
Failure Criteria's
• Maximum Principal Stress
• Maximum Shear Stress
• Maximum Principal Strain
• Maximum Strain Energy 
Density
• Maximum Distortion 
Energy Density
Page 3


Introduction
Failing Factors
Principal or Normal Stress
Stress
Shear Stress
Strain Principal Strain
Maximum Strain Energy
Energy
Shear Strain Energy
Failure Criteria's
• Maximum Principal Stress
• Maximum Shear Stress
• Maximum Principal Strain
• Maximum Strain Energy 
Density
• Maximum Distortion 
Energy Density
Maximum Principal Stress Theory
When the maximum
principal stress induced in a
material under complex load
condition exceeds the
maximum normal strength
in a simple tension test the
material fails
Good for brittle
materials
Page 4


Introduction
Failing Factors
Principal or Normal Stress
Stress
Shear Stress
Strain Principal Strain
Maximum Strain Energy
Energy
Shear Strain Energy
Failure Criteria's
• Maximum Principal Stress
• Maximum Shear Stress
• Maximum Principal Strain
• Maximum Strain Energy 
Density
• Maximum Distortion 
Energy Density
Maximum Principal Stress Theory
When the maximum
principal stress induced in a
material under complex load
condition exceeds the
maximum normal strength
in a simple tension test the
material fails
Good for brittle
materials
Maximum Shear Stress Theory
When the maximum
shear strength in actual case
exceeds maximum allowable
shear stress in simple
tension test the material
case.
Good for ductile
materials
Page 5


Introduction
Failing Factors
Principal or Normal Stress
Stress
Shear Stress
Strain Principal Strain
Maximum Strain Energy
Energy
Shear Strain Energy
Failure Criteria's
• Maximum Principal Stress
• Maximum Shear Stress
• Maximum Principal Strain
• Maximum Strain Energy 
Density
• Maximum Distortion 
Energy Density
Maximum Principal Stress Theory
When the maximum
principal stress induced in a
material under complex load
condition exceeds the
maximum normal strength
in a simple tension test the
material fails
Good for brittle
materials
Maximum Shear Stress Theory
When the maximum
shear strength in actual case
exceeds maximum allowable
shear stress in simple
tension test the material
case.
Good for ductile
materials
Maximum Principal Strain Theory
When the maximum
normal strain in actual case
is more than maximum
normal strain occurred in
simple tension test case the
material fails
Not recommended
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