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Strength of Materials

Maximum Distortion Energy Theory

Which of the ...

Question

Which of the following theories of failure is most appropriate for a brittle material?

A

Maximum principal strain theory

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B

Maximum principal stress theory

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C

Maximum shear stress theory

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D

Maximum strain energy theory

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Solution

The correct option is B Maximum principal stress theory
Maximum principal stress theory (Rankine theory) is suitable for brittle material.
Maximum principal strain theory (St. venants theory) is suitable for ductile and brittle material. Maximum shear stress theory is suitable for ductile material, especially in the case of shaft. Maximum strain energy theory is suitable for ductile material especially in the case of pressure vessel.
Maximum shear strain energy theory is suitable for ductile material and especially in the case of pure shear.

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Similar questions

Q. Consider the following statement associated with theory of failure?

• Maximum distortion energy theory is most appropriate for the ductile material.
• All theories of failure will give similar result under plane (2D) loading condition.
• Coulomb theory of failure is most conservative theory
Select the correct statement.

Q. Consider the following statements related to St. Venant's theory of elastic failure:
1 This theory over-estimates the elastic strength of ductile materials.

2. Most suitable theory for hydrostatic stress condition.

3. Most suitable for pure shear case.

Which of the above statements is/are correct?

Q. Assertion (A): For a ductile material the maximum shear distortion theory is most suitable.
Reason (R): The maximum shear distortion theory of failure assumes that yielding can occur in a general three-dimensional state of stress.

Q. Which of the following unconventional machining processes is used particularly for hard brittle materials like glass or ceramics?

Q. Which of the following statements are correct?
1. Experimental results on thin-walled tubes show that maximum normal stress theory is valid.
2. Normal stress theory is valid in case of brittle materials.
3. In case of pure shear, St. Venant's theory is more valid than other theories.
4. Tresca's theory is very closely sub-stantiated by experimental results.
5. In maximum stress theory, the yield locus is a hexagon.

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