GATE ME 2018 Set 2 — Question 47
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Manufacturing Processes → Forming → Extrusion & Drawing
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Question
A thin-walled cylindrical can with rigid end caps has a mean radius mm and a wall thickness of mm. The can is pressurized and an additional tensile stress of 50 MPa is imposed along the axial direction as shown in the figure. Assume that the state of stress in the wall is uniform along its length. If the magnitudes of axial and circumferential components of stress in the can are equal, the pressure (in MPa) inside the can is ___________ (correct to two decimal places).
Correct answer
4.8 to 5.2
Solution
Step 1: Stresses due to internal pressure (thin cylinder with end caps).Circumferential (hoop) stress: Axial stress from pressure: Step 2: Add the imposed axial tensile stress.Step 3: Equate the magnitudes. MPaAnswer: MPa
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