the principal stresses at a point H on the surface of the vessel and the absolute maximur shear stress; the normal strain along x-axis (ɛx) and the shear strain (yxy) at the same point H. See th established Oxy coordinate system. The Young's modulus of the material is 200 GPa ar he Poison's ratio is 0 3
the principal stresses at a point H on the surface of the vessel and the absolute maximur shear stress; the normal strain along x-axis (ɛx) and the shear strain (yxy) at the same point H. See th established Oxy coordinate system. The Young's modulus of the material is 200 GPa ar he Poison's ratio is 0 3
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A thin-walled cylindrical pressure vessel of inner radius r = 0.6 cm and a thickness of
0.06 cm is subjected simultaneously to internal gas pressure p = 3.5 MPa, a compressive
force F = 800 N acting at the ends, and a torsional load of 25 N · m (see figure). Determine
the following quantities
(a) the principal stresses at a point H on the surface of the vessel and the absolute maximum
shear stress;
(b) the normal strain along x-axis (ɛx) and the shear strain (yxy) at the same point H. See the
established Oxy coordinate system. The Young's modulus of the material is 200 GPa and
the Poisson's ratio is 0.3.
Hint: the cross-section of the vessel can be regarded as a hollow tube and the cross-section
area can be calculated as 1(0.00662 – 0.006²). You can do the same treatment for the polar
moment inertia.
25 N· m
F
F
H
X
25 N· m
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