The ratio of hoop stress to longitudinal stress in thin walled cylinders is -
For the analysis of thick cylinders, the theory applicable is
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According to Lame’s equation, hoop stress for a thick cylinder at any point at a radius r from centre is equal to
In a thick cylinder pressurized from inside, the hoop stress is maximum at
The variation of the hoop stress across the thickness of a thick cylinder is
If a thick cylindrical shell is subjected to internal pressure, then hoop stress, radial stress and longitudinal stress at point in the thickness will be
Principal stresses on the outside surface element of a thin cylindrical shell subjected to internal fluid pressure as shown in the figure, are represented by
A thick-walled hollow cylinder having outside and inside radii of 90 mm and 40 mm respectively is subjected to an external pressure of 800 MN/m2. The maximum circumferential stress in the cylinder will occur at a radius of
A thin cylinder contains fluid at a pressure of 500 N/m2, the internal diameter of the shell is 0.6 m and the tensile stress in the material is to be limited to 9000 N/m2. The shell must have a minimum wall thickness of nearly
A thick cylindrical pressure vessel of inner diameter Di. and outer diameter Do is subjected to an internal fluid pressure of intensity ‘p’. The variation of the circumferential tensile stress 'py’ in the thickness of the shell will be