ENGINEERING YOUR FUTURE
9th Edition
ISBN: 9780190279288
Author: Oakes
Publisher: OXF
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Chapter 19, Problem 19.11EAA
To determine
To develop a list of your personal career priorities and how this can be enhanced by some form of experiential learning.
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The figure illustrates the nonpermanent connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using
73 bolts. A confined gasket seal has an effective sealing diameter D of 0.9 m. The cylinder pressure is cycled between a
minimum pressure of zero and a maximum pressure p, of 535 kPa. For the specifications given in the table for the
specific problem assigned, select a suitable bolt length from the preferred sizes. Use Table A-17 for calculation purposes.
Parameter
Head thickness, A
Cylinder thickness, B
Value
16 mm
25 mm
Internal diameter of the cylinder, C
0.8 m
Gasket sealing diameter, D
Bolt circle diameter, E
Outer diameter of the cylinder head, F
0.9 m
1.0 m
1.1 m
Bolt grade
ISO 10.9
Bolt diameter, d
10 mm
F
E
D
111
Find a suitable bolt length. Then, determine the bolt stiffness, material stiffness and stiffness constant of the joint.
The bolt length is
The bolt stiffness is
mm.
MN/m.
The material stiffness is |
The stiffness constant is
MN/m.
Problem 3
A rotating shaft of 20 mm diameter is simply supported.
The shaft is loaded with a transverse load of 10 kN as shown in
the figure. The shaft is made from AISI 1095 hot-rolled steel. The
surface has been machined. The shaft operate at
temperature T = 450 °C. Consider a reliability factor of 95%.
Determine
(a) Calculate the reaction forces R₁ and R2*
(b) Draw the shear force and bending moment diagrams
and determine the maximum bending moment and
shear force.
200 mm
20 mm
10,000 N
-50 mm-
C
A
B
R₁
Not to scale.
(c) Determine the critical location of the shaft and the maximum effective stresses,
(d) Calculate the static safety factor against yielding.
(e) Determined the endurance limit, adjusted as necessary with Marin factors.
(f)
Calculate the fatigue factor of safety based on achieving infinite life
(g)
If the fatigue factor of safety is less than 1, then estimate the life of the part in number of rotations, based on the ultimate
strength of the material at T = 450 °C.
An air duct heater consists of an aligned array of electrical heating elements in which the longitudinal and transverse pitches are SL = ST = 24 mm. There are 3 rows of elements in the flow direction (NL = 3) and 4 elements per row (NT = 4). Atmospheric air with an upstream velocity of 12 m/s and a temperature of 25°C moves in cross flow over the elements, which have a diameter of 12 mm, a length of 250 mm, and are maintained at a surface temperature of 350°C.
(a) Determine the total rate of heat transfer to the air and the temperature of the air leaving the duct heater.
(b) Determine the pressure drop across the element bank and the fan power requirement.
(c) Compare the average convection coefficient obtained in your analysis with the value for an isolated (single) element. Explain the difference between the results.
(d) What effect would increasing the longitudinal and transverse pitches to 30 mm have on the exit temperature of the air, the total heat rate, and the…
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