Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 20, Problem 20.6P
Calculate the tensile stresses (circumferential and longitudinal) developed in the walls of a cylindrical pressure vessel. The inside diameter is
The vessel is subjected to an internal gage pressure of
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The internal and external diameter of a thick hollow cylinder are 105 mm and 145 mm respectively. It is subjected to an external pressure of 40 N/mm2 and an internal pressure of 120 N/mm2. Calculate the radial and circumferential stresses at the mean radius.
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Ro
P
Figure Q3
R₁
Problem 4
A thin-walled cylindrical pressure vessel has an internal diameter of d = 2 m and a wall thickness
of t = 20 mm. The pressure vessel is subjected to an internal gauge pressure of p = 1.5 N/mm² and
an axial tensile force of T = 2500 kN.
T
a) Calculate the principal stresses, σ₁ and ₂, in the pressure vessel.
b) Sketch Mohr's circle for the pressure vessel and label 0₁, 02, and the maximum shear stress,
Tmax·
c) Calculate the maximum shear stress, Tmax, and indicate its orientation relative to the
longitudinal axis of the cylinder.
d) Use Mohr's circle to calculate the stresses in an element that is oriented at 30° counter-
clockwise from the longitudinal axis of the cylinder.
Chapter 20 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 20 - Prob. 20.1PCh. 20 - Calculate the tensile stresses developed...Ch. 20 - Calculate the internal water pressure that will...Ch. 20 - Calculate the wall thickness required for a 1.25...Ch. 20 - A spherical gas container, 52 ft in diameter, is...Ch. 20 - Calculate the tensile stresses (circumferential...Ch. 20 - 20.7 A gas is to be stored in a spherical steel...Ch. 20 - 20.8 The longitudinal joint in an -ft-diameter...Ch. 20 - A spherical steel tank, 15 m in diameter, is to...Ch. 20 - 20.10 A closed cylindrical tank for an air...
Ch. 20 - Prob. 20.11PCh. 20 - For the following computer problems, any...Ch. 20 - For the following computer problems, any...Ch. 20 - Calculate the circumferential and longitudinal...Ch. 20 - 20.16 A welded aluminum alloy cylindrical pressure...Ch. 20 - Prob. 20.17SPCh. 20 - 20.18 A spherical tank is to hold of gas at a...Ch. 20 - 20.19 A closed cylindrical air-compressor tank is ...Ch. 20 - 20.20 A cast-iron pipe, ft in diameter, is...Ch. 20 - 20.21 A steel pipe located in a hydroelectric...Ch. 20 - 20.22 Calculate the tensile stresses...Ch. 20 - 20.23 A -ft-diameter steel pipe is made...Ch. 20 - 20.24 Rework Problem, changing the joint...Ch. 20 - 20.25 A piece of -in-diameter pipe of -in, wall...Ch. 20 - 20.26 A vertical cylindrical steel tank, open at...
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