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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 recommendedRead More
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FAQs on PPT: Theories of Failure - Strength of Materials (SOM) - Mechanical Engineering
| 1. What are the main theories of failure in mechanical engineering? |  |
Ans. The main theories of failure in mechanical engineering are the Maximum Shear Stress Theory, Maximum Principal Stress Theory, and Maximum Principal Strain Theory. These theories help engineers analyze and predict the failure of materials under different loading conditions.
| 2. How does the Maximum Shear Stress Theory explain failure in mechanical engineering? | |
Ans. According to the Maximum Shear Stress Theory, failure occurs when the maximum shear stress in a material exceeds the shear strength of the material. This theory assumes that failure occurs along planes where the shear stress is highest, regardless of the normal stress distribution.
| 3. What is the concept behind the Maximum Principal Stress Theory in mechanical engineering? | |
Ans. The Maximum Principal Stress Theory states that failure occurs when the maximum principal stress in a material exceeds the tensile or compressive strength of the material. This theory assumes that failure occurs along planes where the normal stress is highest, regardless of the shear stress distribution.
| 4. How does the Maximum Principal Strain Theory explain failure in mechanical engineering? | |
Ans. The Maximum Principal Strain Theory states that failure occurs when the maximum principal strain in a material exceeds the tensile or compressive strain limit of the material. This theory considers both normal and shear strains and assumes that failure occurs along planes where the strain is highest.
| 5. What are the limitations of the failure theories in mechanical engineering? | |
Ans. The failure theories in mechanical engineering have some limitations. They assume materials are homogeneous, isotropic, and behave elastically until failure. These theories also do not consider factors such as temperature, time, and environmental effects, which can influence material failure. It is important for engineers to consider these limitations and use additional testing and analysis methods to accurately predict failure in real-world applications.
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