Which of the following is an INCORRECT statement?

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SSC JE Civil 15 Nov 2022 Shift 3 Official Paper
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  1. Rankine gave the maximum principal stress theory for the failure of a material at its elastic point
  2. A slab is primarily designed for torsion
  3. Buckling is related to lateral deflection of a column
  4. Principal planes are subjected to only normal stress

Answer (Detailed Solution Below)

Option 2 : A slab is primarily designed for torsion
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Explanation:

Theory of failure:

The following theory of failure are given below:

(1) Maximum principal stress theory (Rankine's theory):

  • According to this, the failure of the material occurs when the maximum principal stress reaches the elastic limit stress of the material in simple tension.

(2) Maximum principal strain theory (St. Venant's theory)

(3) Maximum shear stress theory (Guest & Tresca's theory)

(4) Maximum strain energy theory (Haigh's theory)

(5) Maximum shear strain energy theory (Mises-Henky theory)

Buckling:

Buckling is defined as the sudden change in the shape (lateral deformation) of a structural component (member) under axial load.

F2 Vinanti Engineering 26.12.22 D15

Principal plane:

  • At any point within a stressed body, there always exist three mutually perpendicular planes on each of which the resultant stress is normal stress. 
  • These mutually perpendicular planes are called principal planes, and the resultant normal stresses acting on them are called principal stresses.
  • The principal plane is subjected to zero shear stress it is only subjected to only normal stress.

Slabs:

  • Slabs are primarily designed for bending (sagging and hogging bending moments) and deflection not for torsion.
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