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Strength of Materials

Maximum Shear Stress Theory

A failure the...

Question

A failure theory postulated for metals is shown in a two dimensional stress plane. The theory is called

A

Maximum distortion energy theory

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B

Maximum normal stress theory

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C

Maximum shearing stress theory

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D

Maximum strain theory

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Solution

The correct option is C Maximum shearing stress theory
Graphical Representation of Theories of Failure

1. Max. Principal Stress Theory
2.Max. Strain Theory
3. Max. Shear Stress Theory

4. Max. Strain Energy Theory

5. Max. Distortion Energy Theory

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Similar questions

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. In a two dimensional stress system, it is assumed that the principal stress

σ_{1} a n d σ_{2}

σ_{1} > σ_{2}

; then according to the maximum shear stress theory, the failure occurs when (where

σ_{y}

is the yield stress,

μ

is the Poisson's ratio and E is the modulus of elasticity)

Q. According to maximum shear stress failure theory, yielding occurs in the material when

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. In a two-dimensional stress system, the two principal stresses are

p_{1} = 180 N / m m^{2}

p_{2}

which is compressive. For the material, yield stress in simple tension and compression is 240

N / m m^{2}

and Poisson's ratio is 0.25. According to maximum normal strain theory, for what values of

p_{2}

, shall yielding commence?

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