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For a square metal plate, if σx = σy and Txy = 0, then which of the following options is true?

For a square metal plate, if σx = σy and Txy = 0, then which of the following options is true? Correct Answer <span style="">σ</span><span style=" line-height: 0; position: relative; vertical-align: baseline; bottom: -0.25em; font-size:10.5px;">x</span><span style="">' = σ</span><span style=" line-height: 0; position: relative; vertical-align: baseline; bottom: -0.25em; font-size:10.5px;">y</span><span style="">' and T</span><span style=" line-height: 0; position: relative; vertical-align: baseline; bottom: -0.25em; font-size:10.5px;">xy</span><span style="">' = 0</span>

Explanation

Plane stress condition:

  • In-plane stress condition zero stress in the Z-direction.
  • Valid for the components in which the Z dimension is smaller than the X and Y dimensions.
  • Strain in the Z-direction is non-zero.In a body loaded under plane stress conditions, the number of independent stress components is 3 i.e. two normal stress components (σx and σy) and one shear stress component (τxy). 
  • Used for structures such as flat plates subjected to in-plane loading, or thin disk under pressure or centrifugal loading.
  • For a square metal plate, if σx = σy and Txy = 0, σx' = σy' and Txy' = 0

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