di de= P Do An involute pump casing is approximated as a toroidal shell as shown in the figure above. It has an internal cross-sectional diameter of d; = 490 mm, an overall external diameter of Do = 1420 mm, and a wall thickness of 4.7 mm. Point A is located at mid-thickness of the wall. (a) Express and in terms of the internal pressure p. Enter only the numerical value of the coefficient associated with p. 00= Р 45° A (b) Determine the maximum internal pressure the shell can hold, such that the Tresca stress intensity at point A does not exceed two-thirds of the yield strength oy= 250 MPa. MPa

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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di
de=
Do
Р
45°
An involute pump casing is approximated as a toroidal shell as shown in the figure above. It has an internal
cross-sectional diameter of d; = 490 mm, an overall external diameter of Do = 1420 mm, and a wall
thickness of 4.7 mm. Point A is located at mid-thickness of the wall.
(a) Express and in terms of the internal pressure p. Enter only the numerical value of the coefficient associated with p.
Р
A
(b) Determine the maximum internal pressure the shell can hold, such that the Tresca stress intensity at
point A does not exceed two-thirds of the yield strength oy = 250 MPa.
MPa
Transcribed Image Text:di de= Do Р 45° An involute pump casing is approximated as a toroidal shell as shown in the figure above. It has an internal cross-sectional diameter of d; = 490 mm, an overall external diameter of Do = 1420 mm, and a wall thickness of 4.7 mm. Point A is located at mid-thickness of the wall. (a) Express and in terms of the internal pressure p. Enter only the numerical value of the coefficient associated with p. Р A (b) Determine the maximum internal pressure the shell can hold, such that the Tresca stress intensity at point A does not exceed two-thirds of the yield strength oy = 250 MPa. MPa
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