When a thin cylinder is subjected to an internal pressure p, the tangential stress should be the criterion for determining the cylinder wall thickness. Explain.
Answers
Answer:
In mechanics, a cylinder stress is a stress distribution with rotational symmetry; that is, which remains unchanged if the stressed object is rotated about some fixed axis.
Components of hoop stress
Cylinder stress patterns include:
circumferential stress, or hoop stress, a normal stress in the tangential (azimuth) direction
axial stress, a normal stress parallel to the axis of cylindrical symmetry
radial stress, a stress in directions coplanar with but perpendicular to the symmetry axis.
Answer:
When a thin cylinder is subjected to an internal pressure p, the tangential stress should be the criterion for determining the cylinder wall thickness.
Explanation:
A thin pressure vessel is defined as a closed cylindrical or spherical container designed to hold or store fluids at a pressure substantially different from the ambient pressure.
Consider a thin cylinder of internal diameter d and wall thickness t, subject to internal gauge pressure P. The following stresses are induced in the cylinder-
(a) Circumferential tensile stress (or hoop stress) σH.
(b) Longitudinal (or axial) tensile stress σL.
(c) Radial compressive stress σR which varies from a value at the inner surface equal to the atmosphere pressure at the outside surface.
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