9.7 (B). A thin-walled steel cylinder is subjected to an internal fluid pressure of 21 bar (2.1 MN/m2). The boiler is of 1 m inside diameter and 3 m long and has a wall thickness of 30 mm. Calculate the hoop and longitudinal stresses present in the cylinder and determine what torque may be applied to the cylinder if the principal stress is limited to 150 MN/m2. [35, 17.5 MN/m²; 6 MN m.]

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
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Problem 3.4.8P: Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the...
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9.7 (B). A thin-walled steel cylinder is subjected to an internal fluid pressure of 21 bar (2.1 MN/m2). The boiler is
of 1 m inside diameter and 3 m long and has a wall thickness of 30 mm. Calculate the hoop and longitudinal stresses
present in the cylinder and determine what torque may be applied to the cylinder if the principal stress is limited to
150 MN/m?.
[35, 17.5 MN/m?; 6 MN m.]
9.8 (B). A thin cylinder of 300 mm internal diameter and 12 mm thickness is subjected to an internal pressure
pwhile the ends are subjected to an external pressure of p. Determine the value of pat which elastic failure will occur
according to (a) the maximum shear stress theory, and (b) the maximum shear strain energy theory, if the limit of
proportionality of the material in simple tension is 270 MN/m2. What will be the volumetric strain at this pressure?
E = 210 GN/m²; v = 0.3
[21.6, 23.6 MN/m², 2.289 x 10-3, 2.5 x 10-3.]
9.9 (C). A brass pipe has an internal diameter of 400 mm and a metal thickness of 6 mm. A single layer of high-
tensile wire of diameter 3 mm is wound closely round it at a tension of 500 N. Find (a) the stress in the pipe when there
is no internal pressure; (b) the maximum permissible internal pressure in the pipe if the working tensile stress in the
brass is 60 MN/m2; (c) the stress in the steel wire under condition (b). Treat the pipe as a thin cylinder and neglect
longitudinal stresses and strains. Es = 200 GN/m2; Eg = 100 GN/m2.
[U.L] [27.8, 3.04 MN/m²; 104.8 MN/m².]
Transcribed Image Text:9.7 (B). A thin-walled steel cylinder is subjected to an internal fluid pressure of 21 bar (2.1 MN/m2). The boiler is of 1 m inside diameter and 3 m long and has a wall thickness of 30 mm. Calculate the hoop and longitudinal stresses present in the cylinder and determine what torque may be applied to the cylinder if the principal stress is limited to 150 MN/m?. [35, 17.5 MN/m?; 6 MN m.] 9.8 (B). A thin cylinder of 300 mm internal diameter and 12 mm thickness is subjected to an internal pressure pwhile the ends are subjected to an external pressure of p. Determine the value of pat which elastic failure will occur according to (a) the maximum shear stress theory, and (b) the maximum shear strain energy theory, if the limit of proportionality of the material in simple tension is 270 MN/m2. What will be the volumetric strain at this pressure? E = 210 GN/m²; v = 0.3 [21.6, 23.6 MN/m², 2.289 x 10-3, 2.5 x 10-3.] 9.9 (C). A brass pipe has an internal diameter of 400 mm and a metal thickness of 6 mm. A single layer of high- tensile wire of diameter 3 mm is wound closely round it at a tension of 500 N. Find (a) the stress in the pipe when there is no internal pressure; (b) the maximum permissible internal pressure in the pipe if the working tensile stress in the brass is 60 MN/m2; (c) the stress in the steel wire under condition (b). Treat the pipe as a thin cylinder and neglect longitudinal stresses and strains. Es = 200 GN/m2; Eg = 100 GN/m2. [U.L] [27.8, 3.04 MN/m²; 104.8 MN/m².]
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