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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.
Sections
This section introduces the various theories of failure in solid mechanics, emphasizing how failure occurs under stress conditions.
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.
This section introduces the Maximum Shear Stress Theory, explaining how shear stress is evaluated and the conditions for failure in materials.
Learn important concepts in this section
Different theories exist for understanding the failure of materials under stress, including maximum principal stress and shear stress theories.
Critical values for failure can be determined through simple tests like tension and torsion.
Designing structures requires consideration of safety factors to ensure that operational loads remain below critical values.
Maximum Principal Stress Theory
This theory posits that failure occurs when the maximum principal stress in a material reaches a critical value.
Maximum Shear Stress Theory
According to this theory, failure is determined by the maximum shear stress in a material, which must remain below a critical value.
Distortional Energy Theory
This theory focuses on the energy stored due to distortional stress states, asserting that failure occurs when the distortional energy exceeds a critical threshold.
Practice Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
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