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Physical Properties of Metals

Consider the ...

Question

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?

A

1 Only

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B

2 Only

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C

3 Only

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D

None of the above

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Solution

The correct option is A 1 Only
St. Venant's theory or maximum principal strain theory.

(i) It over estimates the elastic strength of ductile materials.

(ii) Not suitable for both hydrostatic stress condition and pure shear case.

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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. 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. Consider the following statements :
1. In the infinitesimal strain theory, dilatation is taken as an invariant.
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3. The shearing modulus is always less than the elastic modulus.
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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.
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5. In maximum stress theory, the yield locus is a hexagon.

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