Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

p14.5 The normal strain measured on the outside surface of a
spherical pressure vessel is 670 µε. The sphere has an outside diameter
of 1.20 m and a wall thickness of 10 mm, and it will be
fabricated from an aluminum alloy [E = 73 GPa; ν = 0.33]. Determine
(a) the normal stress in the vessel wall and (b) the internal
pressure in the vessel.
p14.6 A typical aluminum-alloy scuba-diving tank is shown in
Figure P14.6. The outside diameter of the tank is 7.20 in. and the
wall thickness is 0.55 in. If the air in the tank is pressurized to 3,500 psi,
determine
(a) the longitudinal and hoop stresses in the wall of the tank.
(b) the maximum shear stress in the plane of the cylinder wall.
(c) the absolute maximum shear stress on the outer surface of the
cylinder wall.
p14.10 The pressure tank in Figure P14.10/11 is fabricated
from spirally wrapped metal plates that are welded at the seams in
the orientation shown, where β = 50°. The tank has an inside diameter
of 28.0 in. and a wall thickness of 0.375 in. Determine the
largest gage pressure that can be used inside the tank if the allowable
normal stress perpendicular to the weld is 18 ksi and the allowable
shear stress parallel to the weld is 10 ksi.
FIGURE p14.10/11
y
β
x
FIGURE p14.6
p14.7 A cylindrical boiler with an outside diameter of 2.75 m
and a wall thickness of 32 mm is made of a steel alloy that has a
yield stress of 340 MPa. Determine
(a) the maximum normal stress produced by an internal pressure
of 2.3 MPa.
(b) the maximum allowable pressure if a factor of safety of 2.5
with respect to yield is required.
p14.8 When filled to capacity,
the unpressurized storage
tank shown in Figure P14.8 contains
water to a height of h = 30 ft.
The outside diameter of the tank
is 12 ft and the wall thickness is
0.375 in. Determine the maximum
normal stress and the absolute
maximum shear stress on
the outer surface of the tank at
its base. (Weight density of
water = 62.4 lb/ft 3 .)
p14.9 A tall open-topped standpipe
(Figure P14.9) has an inside diameter of
2,750 mm and a wall thickness of 6 mm.
The standpipe contains water, which has a
mass density of 1,000 kg/m 3 .
(a) What height h of water will produce
a circumferential stress of 16 MPa in
the wall of the standpipe?
(b) What is the axial stress in the wall of
the standpipe due to the water
pressure?
FIGURE p14.8
FIGURE p14.9
h
h
p14.11 The pressure tank in Figure P14.10/11 is fabricated
from spirally wrapped metal plates that are welded at the seams in
the orientation shown, where β = 40°. The tank has an inside diameter
of 720 mm and a wall thickness of 8 mm. For a gage pressure
of 2.15 MPa, determine (a) the normal stress perpendicular to the
weld and (b) the shear stress parallel to the weld.
p14.12 The pressure tank in Figure P14.12/13 is fabricated
from spirally wrapped metal plates that are welded at the seams in
the orientation shown, where β = 35°. The tank has an outside diameter
of 30.0 in. and a wall thickness of 7/16 in. For a gage pressure
of 500 psi, determine (a) the normal stress perpendicular to the
weld and (b) the shear stress parallel to the weld.
β
y
FIGURE p14.12/13
p14.13 The pressure tank in Figure P14.12/13 is fabricated
from spirally wrapped metal plates that are welded at the seams in
the orientation shown, where β = 55°. The tank has an inside diameter
of 60 in. and a wall thickness of 0.25 in. Determine the largest
allowable gage pressure if the allowable normal stress perpendicular
to the weld is 12 ksi and the allowable shear stress parallel to the
weld is 7 ksi.
p14.14 A strain gage is mounted to the outer surface of a thinwalled
boiler as shown in Figure P14.14. The boiler has an inside
x
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