![]() ![]() Maximum stress when r = r o (outside pipe or cylinder) Example - Stress in Thick walled Cylinder The stress in radial direction at a point in the tube or cylinder wall can be expressed as: Instead stress tensors (matrixes) describing the linear connection between two physical vectors quantities can be used. Maximum stress when r = r i (inside pipe or cylinder) Resultant StressĬombined stress in a single point in the cylinder wall cannot be described by a single vector using vector addition. R = radius to point in tube or cylinder wall (mm, in) (r i < r < r o) Σ c = stress in circumferential direction (MPa, psi) The stress in circumferential direction - hoop stress - at a point in the tube or cylinder wall can be expressed as: R o = external radius of tube or cylinder (mm, in) Stress in Circumferential Direction - Hoop Stress ![]() ![]() R i = internal radius of tube or cylinder (mm, in) P o = external pressure in the tube or cylinder (MPa, psi) P i = internal pressure in the tube or cylinder (MPa, psi) Σ a = stress in axial direction (MPa, psi) Σ a = (p i r i 2 - p o r o 2 )/(r o 2 - r i 2) (1) The stress in axial direction at a point in the tube or cylinder wall can be expressed as: When a thick-walled tube or cylinder is subjected to internal and external pressure a hoop and longitudinal stress are produced in the wall. ![]()
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