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

diameter of 1,800 mm and a wall thickness of 20 mm, and it is
made of stainless steel [E = 193 GPa; ν = 0.27]. Determine
(a) the internal pressure in the boiler when the strain gage reads
190 µε.
(b) the maximum shear strain in the plane of the boiler wall.
(c) the absolute maximum shear strain on the outer surface of the
boiler.
y
x
p14.17 A strain gage is mounted at an angle of θ = 25° with
respect to the longitudinal axis of the cylindrical pressure vessel
shown in Figure P14.17/18. The pressure vessel is fabricated from
aluminum [E = 73 GPa; ν = 0.33], and it has an inside diameter of
1.6 m and a wall thickness of 8 mm. If the strain gage measures a
normal strain of 885 µε, determine
(a) the internal pressure in the cylinder.
(b) the absolute maximum shear stress on the outer surface of the
cylinder.
(c) the absolute maximum shear stress on the inner surface of the
cylinder.
FIGURE p14.14
y
θ
x
p14.15 A closed cylindrical tank containing a pressurized fluid
has an inside diameter of 830 mm and a wall thickness of 10 mm. The
stresses in the wall of the tank acting on a rotated element have the
values shown in Figure P14.15. What is the fluid pressure in the tank?
FIGURE p14.17/18
66 MPa
51 MPa
18 MPa
p14.18 A strain gage is mounted at an angle of θ = 30° with
respect to the longitudinal axis of the cylindrical pressure vessel
shown in Figure P14.17/18. The pressure vessel is fabricated from
steel [E = 30,000 ksi; ν = 0.30], and it has an outside diameter of
37 in. and a wall thickness of 3/16 in. If the internal pressure in the
cylinder is 200 psi, determine
FIGURE p14.15
p14.16 A closed cylindrical vessel (Figure P14.16) contains a
fluid at a pressure of 5.0 MPa. The cylinder, which has an outside
diameter of 2,500 mm and a wall thickness of 20 mm, is fabricated
from stainless steel [E = 193 GPa; ν = 0.27]. Determine the increase
in both the diameter and the length of the cylinder.
6 m
(a) the expected strain gage reading (in µε).
(b) the principal strains, the maximum shear strain, and the
absolute maximum shear strain on the outer surface of the
cylinder.
p14.19 The pressure vessel shown in Figure P14.19 consists of
spirally wrapped steel plates that are welded at the seams in the
orientation shown, where β = 35°. The cylinder has an inside diameter
of 16 in. and a wall thickness of 0.375 in. The ends of the cylinder
are capped by two rigid end plates. The gage pressure inside
the cylinder is 260 psi, and tensile axial loads of P = 15 kips are
applied to the rigid end caps. Determine
(a) the normal stress perpendicular to the weld seams.
(b) the shear stress parallel to the weld seams.
(c) the absolute maximum shear stress on the outer surface of the
cylinder.
β
y
P
x
P
FIGURE p14.16
FIGURE p14.19
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