Which theory is applicable for analysis of thick cylinder?

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JKSSB JE Civil Jal Shakti 6 Dec 2022 Official Paper (Shift 1)
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  1. Poisson’s theory
  2. Lame’s theory
  3. Maxwell's theory
  4. None of these

Answer (Detailed Solution Below)

Option 2 : Lame’s theory
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ST 1: JKSSB JE - Surveying
20 Qs. 20 Marks 20 Mins

Detailed Solution

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Explanation:

For thick cylinder:

A cylinder is considered to be ‘thick’ if the ratio of the inner diameter to the thickness of the wall is more than 20.

The Variation of the hoop stress and the radial stress on a thick cylinder,

  • The tangential stress varies parabolically from the maximum value at the inner radius to the minimum value at the outer radius.

  • The radial stress also varies parabolically but the maximum value is at the inner radius and at the outer radius the value is zero.

These two equations are called Lame’s Equations. The constants A and B are obtained from the boundary conditions.

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