circumferential stress

Solution to Problem 142 Pressure Vessel

142 Pipe carrying a steam

Strength of Materials 4th Edition by Pytel and Singer
Problem 142 page 29

Given:
Steam pressure = 3.5 Mpa
Outside diameter of the pipe = 450 mm
Wall thickness of the pipe = 10 mm
Diameter of the bolt = 40 mm
Allowable stress of the bolt = 80 MPa
Initial stress of the bolt = 50 MPa

Required:
Number of bolts
Circumferential stress developed in the pipe

Solution to Problem 141 Pressure Vessel

Strength of Materials 4th Edition by Pytel and Singer
Problem 141 page 28

Given:
Wall thickness = 1/8 inch
Internal pressure = 125 psi
The figure below:

Figure P-141

Required: Maximum longitudinal and circumferential stress

Solution to Problem 138 Pressure Vessel

138 Joints of cylindrical tank

Strength of Materials 4th Edition by Pytel and Singer
Problem 138 page 38

Given:
Strength of longitudinal joint = 33 kips/ft
Strength of girth joint = 16 kips/ft
Internal pressure = 150 psi

Required: Maximum diameter of the cylinder tank

Solution to Problem 137 Pressure Vessel

137 Water tank

Strength of Materials 4th Edition by Pytel and Singer
Problem 137 page 28

Given:
Diameter of the water tank = 22 ft
Thickness of steel plate = 1/2 inch
Maximum circumferential stress = 6000 psi
Specific weight of water = 62.4 lb/ft3

Required: The maximum height to which the tank may be filled with water.

Solution to Problem 136 Pressure Vessel

136 Cylindrical tank

Strength of Materials 4th Edition by Pytel and Singer
Problem 136 page 28

Given:
Thickness of steel plating = 20 mm
Diameter of pressure vessel = 450 mm
Length of pressure vessel = 2.0 m
Maximum longitudinal stress = 140 MPa
Maximum circumferential stress = 60 MPa

Required: The maximum internal pressure that can be applied

Thin-walled Pressure Vessels

FBD of pressured tank

A tank or pipe carrying a fluid or gas under a pressure is subjected to tensile forces, which resist bursting, developed across longitudinal and transverse sections.

TANGENTIAL STRESS (Circumferential Stress)
Consider the tank shown being subjected to an internal pressure p. The length of the tank is L and the wall thickness is t. Isolating the right half of the tank:

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