A thin-walled cylindrical pressure vessel of inner radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends. (See the figure. Assume the internal pressure is gage pressure.) Ⓡ (a) What should be the magnitude of the force F in order to produce pure shear in the wall of the cylinder? (Use the following as necessary: p, r, and t for the wall thickness.) F= (b) If force F = 190 kN, internal pressure p = 9 MPa, inner diameter = 200 mm, and allowable normal and shear stresses are 144 MPa and 72 MPa, respectively, what is the required thickness of the vessel (in mm)? mm
A thin-walled cylindrical pressure vessel of inner radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends. (See the figure. Assume the internal pressure is gage pressure.) Ⓡ (a) What should be the magnitude of the force F in order to produce pure shear in the wall of the cylinder? (Use the following as necessary: p, r, and t for the wall thickness.) F= (b) If force F = 190 kN, internal pressure p = 9 MPa, inner diameter = 200 mm, and allowable normal and shear stresses are 144 MPa and 72 MPa, respectively, what is the required thickness of the vessel (in mm)? mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A thin-walled cylindrical pressure vessel of inner radius r is subjected simultaneously to internal gas pressure p and a compressive force F acting at the ends. (See the figure. Assume the internal pressure is gage
pressure.)
F
i
(a) What should be the magnitude of the force F in order to produce pure shear in the wall of the cylinder? (Use the following as necessary: p, r, and t for the wall thickness.)
F =
(b) If force F = 190 kN, internal pressure p = 9 MPa, inner diameter = 200 mm, and allowable normal and shear stresses are 144 MPa and 72 MPa, respectively, what is the required thickness of the vessel (in
mm)?
mm
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