GATE ME 2014 Set 4 — Question 41
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Strength of Materials → Stress, Strain & Elastic Constants → Thin Cylinders & Pressure Vessels
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Question
A thin gas cylinder with an internal radius of mm is subject to an internal pressure of MPa. The maximum permissible working stress is restricted to MPa. The minimum cylinder wall thickness (in mm) for safe design must be _______
Correct answer
9.8 to 10.6
Solution
Given:
Internal radius () = mm
Internal pressure () = MPa
Maximum permissible stress () = MPaFor a thin cylinder, the maximum stress is the hoop stress (circumferential stress), which is given by the formula:To ensure a safe design, the hoop stress must not exceed the maximum permissible working stress:Therefore, the minimum cylinder wall thickness required for safe design is mm.
Internal radius () = mm
Internal pressure () = MPa
Maximum permissible stress () = MPaFor a thin cylinder, the maximum stress is the hoop stress (circumferential stress), which is given by the formula:To ensure a safe design, the hoop stress must not exceed the maximum permissible working stress:Therefore, the minimum cylinder wall thickness required for safe design is mm.
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