A spring has 6 active coils, and the

ends are squared and ground. What

is the total number of coils?
A. 4 C. 7
B. 6 D. 8
What is most nearly the spring
index of the spring shown?
A. 5 C. 7
B. 6 D. 10
A 100 N force is applied to a 50 mm
long helical compression spring made of
2 mm steel wire (shear modulus of 80
GPa). The spring has 6 active coils and a
mean diameter of 10 mm. The spring
ends are closed. What is most nearly the
spring constant?
A. 3.0 kN/m B. 21 kN/m
C. 27 kN/m D. 35 kN/m
What is most nearly the shear yield
strength for 1 mm diameter ASTM
A227 hard-drawn wire?
A. 330 MPa B. 680 MPa
C. 730 MPa D. 750 MPa
A gear has 15 teeth and a pitch diameter
of 5 cm. What is most nearly the circular
pitch of the gear?
A. 1.1 mm C. 11 mm
B. 3.3 mm D. 52 mm
The epicyclic gear set shown has an overall
speed reduction of 3:1. The planet carrier is
the output gear. The input gear is the sun
gear, which turns clockwise at 1000 rpm. The
planet has 20 teeth and a clockwise at 1000
rpm. The planet has 20 teeth and a diametral
pitch of 10, as shown. What is the ratio of the
number of teeth on the ring gear to the
number of teeth on the sun gear?
A. 1/3 C. 1
B. ½ D. 2
A single-row ball bearing is to carry a
radial load of 4.4 kN and a thrust load
of 6.7 KN. The radial and thrust load
factors are 0.63 and 1.25, respectively.
If the inner ring rotates, what is most
nearly the equivalent radial load?
A. 4.4 KN C. 11 KN
B. 9.7 KN D. 12 KN
What is most nearly the minimum
required basic load rating for a single
row of ball bearings with an equivalent
radial load of 22 kN and a design life of
340,000 revolutions?
A. 15 KN C. 22 KN
B. 16 KN D. 33 KN
A lubricated power screw is used to lower
a 1000 N load. The screw has a major
diameter of 40 mm, a mean diameter of
37.5 mm, and a lead of 7 mm. The
coefficient of friction is 0.15. Neglecting
collar friction, what is most nearly the
torque required to lower the load?
A. 1.7 N.m C. 160 N.m
B. 23 N.m D. 2200 N.m
The four-bar linkage system shown is
configured into the open position. The
values of θ2, K1, K2, and K3 are 65o, 0.58,
0.68, and 1.2, respectively as shown.
What is most nearly the value of angle
θ4?
A. 93o C. 110o
B. 98o D. 130o
What is most nearly the angular velocities
of link 3, w3 and link 4, w4, of the four
bar mechanism shown?
A. w3 = 0.78 rad/s, and w4 = -0.79 rad/s
C. w3 = 1.4 rad/s, and w4 = -0.79 rad/s
B. w3 = 0.78 rad/s, and w4 = -0.39 rad/s
D. w3 = 1.4 rad/s, and w4 = -0.39 rad/s
A hole has a nominal size of 11 mm and
a maximum size of 11.016 mm. What are
most nearly the tolerance and minimum
diameter of the hole, respectively?
A. 0.010 mm; 5.0 mm
B. 0.012 mm; 7.0 mm
C. 0.014 mm; 9.0 mm
D. 0.016 mm; 11 mm
A 2 cm diameter solid shaft is pressed
into an 3 cm long hub. Given an
interface pressure of 70 MPa and a
coefficient of friction of 0.6. What is
most nearly the maximum torque that
can be transmitted from the shaft to the
hub?
A. 550 N.m C. 790 N.m
B. 630 N.m D. 880 N.m
The simple four-bar linkage shown is
configured into the open position. Link 1 is
0.57 m long, link 2 is 0.21 m long, link 3 is
0.45 m lonh, and link 4 is 0.36 m long.
Taking link 1 as the reference link, the angle
that link 2 makes with the reference link, θ2,
is 62o. As shown in the figure, what is most
nearly the value of angle θ4?
A. 49o C. 99o
B. 85o D. 110o
A bolted joint with a joint coefficient of
0.14 experiences a 26 kN tension. The
bolt is initially preloaded to 7.5 kN. What
is most nearly the maximum bolt load?
A. 11 KN C. 32 KN
B. 24 KN D. 43 KN
A bolt has a major-diameter area of 123
mm2 and a tensile stress area of 88
mm2. The threaded length is 14 mm.
The modulus of elasticity is 230 GPa.
What is most nearly the stiffness of the
threaded length of the bolt?
A. 980 KN/mm C. 1400 KN/mm
B. 1100 KN/mm D. 1700 KN/mm
A 94 force is applied to a 50 mm long
made of 2 mm steel wire (shear
modulus of 80 GPa). The spring has 7
active coils and a mean diameter of 12
mm. The spring ends are closed. What is
most nearly the spring constant?
A. 2.5 N/mm B. 13 N/mm
C. 27 N/mm D. 36 N/mm
An 18 tooth straight spur gear transmits
a torque of 1300 N.mm. The pitch circle
diameter is 2.3 cm, and the pressure
angle is 37o. What is most nearly the
tangential force on the gear?
A. 43 N B. 57 N
C. 85 N D. 110 N
A hole has a minimum size of 10.988
mm and a tolerance of 0.011 mm. What
is most nearly the nominal size of the
hole?
A. 10.959 mm C. 10.988 mm
B. 10.967 mm D. 10.999 mm
A shaft has an upper deviation of 0.011
mm and a lower deviation of 0.019 mm.
What is most nearly the tolerance of the
shaft?
A. -0.008 mm C. 0.01 mm
B. 0.008 mm D. 0.02 mm
A particular roller bearing has life of
3000 h when carrying an equivalent
radial load of 9.5 kN and rotating at 500
rpm. What is most nearly the predicted
life if the bearing is loaded to 12 KN at
the same rotational speed?
A. 1000 h B. 1200 h
C. 1300 h D. 1400 h
Two gears are in mesh. Gear 1 has
20 teeth and a radius of 4.6 cm.
Gear 2 has 30 teeth and a radius of
7.2 cm. What is most nearly the
diametral pitch of these two gears?
A. 110 m-1 C. 180 m-1
B. 140 m-1 D. 210 m-1
A bolted joint with a joint coefficient of
0.2 experiences an alternating external
tension from 0 kN to 5 kN. The bolt is
initially preloaded to 10 kN. What is
most nearly the maximum tensile force
in the bolt?
A. 5.0 kN C. 12 kN
B. 11 kN D. 15 kN
A pressure vessel flange has an inside
diameter of 25 cm. The flange is
connected to the vessel using 8 bolts
that have a bolt preload of 14 kN. The
joint coefficient is 0.4, and the joint
separation safety factor is 4. What is
most nearly the maximum design vessel
pressure?
A. 0.73 MPa C. 1.3 MPa
B. 0.95 MPa D. 2.3 MPa
The initial bolt tension on a 16 mm steel
bolt is 45 KN. What is most nearly the
approximate torque required to
tightened the bolt?
A. 85 KN.mm B. 110 KN.m
C. 140 KN.m D. 180 KN.m
A shaft with a keyway transmits 300 hp
at 1200 rev/min. The shaft is 2 ft long
with a diameter of 3 in. The keyway has
a width of 1 in and a length of 3 in. The
shear stress of the keyway is most
nearly
A. 440 lbf/in2 C. 1800 lbf/in2
B. 1200 lbf/in2 D. 3500 lbf/in2
A spring with 12 active coils and a spring
index of 9 supports a static load of (220
N) with a deflection of 0.5 in (12 mm). The
shear modulus of the spring material is
1.2 x 107 lbf/in2(83 GPa). The theoretical
wire diameter is most nearly
A. 0.58 in (15 mm) C. 0.69 in (18 mm)
B. 0.63 (16 mm) D. 0.74 in (19 mm)
A spring with 12 active coils and a spring
index of 9 supports a static load of (220
N) with a deflection of 0.5 in (12 mm). The
shear modulus of the spring material is
1.2 x 107 lbf/in2(83 GPa). The mean spring
diameter is most nearly
A. 5.2 in (140 mm) C. 7.1 in (180 mm)
B. 6.4 in (160 mm) D. 7.9 in (200 mm)
A severe service valve spring is to be
manufactured from unpeened ASTM A230 steel
wire in standard W & M sizes operating
continouosly between 20 lbf and 30 lbf (100 N
and 150 N). The valve lift is 0.3 in (8 mm). The
spring index is 10. The ultimate tensile strength
of the wire material is 205,000 lbf/in2 (1414.5
MPa). The factor of safety is 1.5. The minimum
design fatigue service life is 10,000,000 cycles.
The wire diameter is most nearly
A. 0.12 (3.0 mm) C. 0.21 in (53 mm)
B. 0.15 in (4.1 mm) D. 0.28 in (71 mm)
A severe service valve spring is to be
manufactured from unpeened ASTM A230
steel wire in standard W & M sizes operating
continouosly between 20 lbf and 30 lbf (100 N
and 150 N). The valve lift is 0.3 in (8 mm). The
spring index is 10. ……..The minimum design
fatigue service life is 10,000,000 cycles. The
spring constant is most nearly
A. 10 lbf/in2 (1.9 kN/m)
B. 21 lbf/in2 (3.9 kN/m)
C. 33 lbf/in2 (6.3 kN/m)
D. 48 lbf/in2 (92 kN/m)
A severe service valve spring is to be
manufactured from unpeened ASTM A230
steel wire in standard W & M sizes
operating continouosly between 20 lbf and
30 lbf (100 N and 150 N). The valve lift is
0.3 in (8 mm). The spring index is 10. If
the ends are squared and ground, the
minimum number of active coils is most
nearly
A. 4 C. 7
B. 5 D. 9
A severe service valve spring is to be
manufactured from unpeened ASTM A230
steel wire in standard W & M sizes
operating continouosly between 20 lbf and
30 lbf (100 N and 150 N). The valve lift is
0.3 in (8 mm). The spring index is 10.
…..The minimum design fatigue service
life is 10,000,000 cycles. The solid height
is most nearly
A. 1.2 in (35 mm) C. 2.3 in (58 mm)
B. 1.7 in (43 mm) D. 2.8 in (71mm)
The material is a spring wire has a shear
modulus of 1.2 x 107 lbf/in2 (83 GPa).
The maximum allowable stress under
design conditions is 50,000 lbf/in2 (350
MPa). The spring index is 7. …….The
minimum wire diameter is most nearly
A. 0.58 in (15 mm)
B. 0.88 in (23 mm)
C. 1.4 in (36 mm)
D. 1.8 in (47 mm)
A severe service valve spring is to be
manufactured from unpeened ASTM A230
steel wire in standard W & M sizes operating
continouosly between 20 lbf and 30 lbf (100
N and 150 N). The valve lift is 0.3 in (8 mm).
The spring index is 10. The mean coil
diameter is most nearly
A. 8.6 in (220 mm)
B. 10 in (250 mm)
C. 13 in (330 mm)
D. 16 in (410 mm)
A severe service valve spring is to be
manufactured from unpeened ASTM A230
steel wire in standard W & M sizes
operating continouosly between 20 lbf
and 30 lbf (100 N and 150 N). The valve
lift is 0.3 in (8 mm). The minimum design
fatigue service life is 10,000,000 cycles.
The number of active coils is most nearly
A. 8 C. 12
B. 11 D. 14
A 6 in (150 mm) wide, 24 in (610 mm) long
cantilever steel spring supports an 800 lbf
(3.5 kN) load at its tip. The deflection is to
less than 1 in (25 mm). The bending stress
is limited to 50,000 lbf/in2 (345 MPa). The
minimum thickness as limited by
deflection alone is most nearly
A. 0.37 in (9.4 mm)
B. 0.45 in (11 mm)
C. 0.63 in (16 mm)
D. 0.77 in (20 mm)
A severe service valve spring is to be
manufactured from unpeened ASTM A230
steel wire in standard W & M sizes operating
continouosly between 20 lbf and 30 lbf (100
N and 150 N). The minimum design fatigue
service life is 10,000,000 cycles. The
minimum thickness as limited by bending
stress is most nearly
A. 0.62 in (16 mm) C. 0.72 in (18 mm)
B. 0.66 in (17 mm) D. 0.78 in (20 mm)
Two concentric springs are constructed with
squared and ground ends from oil-hardened
steel. The ultimate strength for the steel is
204,000 lbf/in2 (1.3 GPa). The steel’s yield
strength is to be estimated as 75% of the
ultimate strength. The shear modulus for the
steel is 11.5 x 106 lbf/in2 (79 GPa)….. The
deflection of the inner spring is most nearly
A. 2.0 in (48 mm) B. 2.4 in (60 mm)
C. 2.9 in (73 mm) D. 3.1 in (78 mm)
Two concentric springs are constructed with
squared and ground ends from oil-hardened
steel. The ultimate strength for the steel is
204,000 lbf/in2 (1.3 GPa). The steel’s yield
strength is to be estimated as 75% of the
ultimate strength. The shear modulus for the
steel is 11.5 x 106 lbf/in2 (79 GPa)….. The
maximum force exerted by the inner spring is
most nearly
A. 57 lbf (240 N) C. 79 lbf (330 N)
B. 67 lbf (280 N) D. 86 lbf (360 N)
Two concentric springs are constructed with
squared and ground ends from oil-hardened
steel. The ultimate strength for the steel is
204,000 lbf/in2 (1.3 GPa). The steel’s yield
strength is to be estimated as 75% of the ultimate
strength. The shear modulus for the steel is 11.5
x 106 lbf/in2 (79 GPa)….. The maximum shear
stress in the inner spring is most nearly
A. 47 kips/in2 (320 MPa)
B. 52 kips/in2 (350 MPa)
C. 57 kips/in2 (390 MPa)
D. 64 kips/in2 (410 Mpa)
Two concentric springs are constructed
with squared and ground ends from oil-
hardened steel. The ultimate strength for
the steel is 204,000 lbf/in2 (1.3 GPa). The
steel’s yield strength is to be estimated
as 75% of the ultimate strength. The
shear modulus for the steel is 11.5 x 106
lbf/in2 (79 GPa)….. The factor of safety in
shear for the inner spring is most nearly
A. 1.2 B. 1.5
C. 1.8 D. 2.2
A gear train is to have a speed reduction
of 600:1. The gears used can have no
fewer than 12 teeth and no more than 96
teeth. The pinion gears in the first three
stages have the same number of teeth.
The number of stages needed is most
nearly
A. 2 C. 4
B. 3 D. 5
An American standard involute gear
system consisting of one pinion and one
gear has a gear ratio of 4. The pinion gear
has a pressure angle of 20o and a pitch
diameter of 20 in. The gear has a
diametral pitch of 1 in-1 and a pitch
diameter of 80 in. The diametral pitch of
the pinion gear is most nearly.
A. 0.5 in B. 0.7 in
C. 0.8 in D. 1 in
A basic rack of an American standard full-
depth involute 14.5o gear system has a
base circular pitch of 1 in. The tooth
thickness, t, on the pitch line shown is
most nearly
A. 0.43 in C. 0.56 in
B. 0.52 in D. 0.65 in
A pinion-driven gear has a circular
pitch of 1 in and 50 teeth. The pinion
rotates at 1000 rev/min with a gear
ratio of 4. The pitch (line) velocity of
the pinion gear is most nearly.
A. 1000 ft/min C. 12,000 ft/min
B. 4200 ft/min D. 17,000 ft/min
A helical gear has a tangential pressure
angle of 22.5o and a normal pressure
angle of 20o. The gear is exposed to an
axial force of 1000 lbf. The total force
on the gear is most nearly
A. 1200 lbf B. 2200 lbf
C. 4400 lbf D. 5500 lbf
A helical gear with a tangential pitch of
1 in carries an axial force of 1000 lbf
and a tangential force of 1500 lbf. The
normal circular pitch is most nearly
A. 0.15 in B. 0.21 in
C. 0.25 in D. 0.83 in
A mechanism is driven by a 150 hp (110
kW) motor. The motor turns at 1200
rev/min, but a pair …………
A. d1 = 16 in, d2 = 14 in (d1 = 400 mm, d2 =
370 mm)
B. d1 = 18 in, d2 = 12 in (d1 = 450 mm, d2 =
310 mm)
C. d1 = 21 in, d2 = 9 in (d1 = 530 mm, d2 =
230 mm)
D. d1 = 24 in, d2 = 6 in (d1 = 620 mm, d2 =
140 mm)
A mechanism is driven by a 150 hp (110
kW) motor. The motor turns at 1200
rev/min, but a pair of 14 ½ gears on 15 in
(380 mm) centers is to reduce the speed
of Use the Lewis beam strength theory. Do
not check for undercutting. Given a pinion
face width of 6 in (150 mm), the diametral
pitch (gear module) is most nearly
A. 4 1/in (5 mm) C. 8 1/in (3 mm)
B. B. 6 1/in (4 mm) D. 10 1/in (2 mm)
A mechanism is driven by a 150 hp (110
kW) motor. The motor turns at 1200
rev/min, but a pair of 14 ½ gears on 15 in
(380 mm) ……. and disregarding stress
concentrations, the face width for the
gear is most nearly.
A. 4.5 in (110 mm)
B. 5.0 in (130 mm)
C. 6.0 in (150 mm)
D. 7.5 in (190 mm)
Two 20o involute spur gears are mounted such
that their centers are 15 in (380 mm) apart. The
pinion is …. What are most nearly the pitch
diameters? (Assume d1 = gear and d2 = pinion)
A. d1 = 7.0 in, d2 = 23 in (d1 = 190 mm, d2 =
570 mm)
B. d1 = 13 in, d2 = 17 in (d1 = 320 mm, d2 =
440 mm)
C. d1 = 17.0 in, d2 = 13 in (d1 = 440 mm,
d2 = 320 mm)
D. d1 = 23 in, d2 = 8.0 in (d1 = 570 mm,
d2 = 190 mm)
Two 20o involute spur gears are mounted
such that their centers are 15 in (380 mm)
apart. The pinion is untreated steel with
an allowable stress of 30,000 lbf/in2 (210
MPa). ….The diametral pitch is most nearly
A. 0.75 1/in (0.029 1/mm)
B. 1.5 1/in (0.0581 1/mm)
C. 1.8 1/in (0.0681 1/mm)
D. 3.5 1/in (0.14 1/mm)
Two 20o involute spur gears are mounted
such that their centers are 15 in (380
mm) apart. The pinion is untreated steel
with an allowable stress of 30,000 lbf/in2
(210 MPa). The pinion ……approximately
how many teeth are on each gear?
A. Npinion = 15, Ngear = 45
B. Npinion = 22, Ngear = 30
C. Npinion = 30, Ngear = 22
D. Npinion = 39, Ngear = 13
Two 20o involute spur gears are mounted
such that their centers are 15 in (380 mm)
apart. The pinion is untreated steel…. Use
the Lewis beam strength theory. Given a
diametral pitch of 2 in-1 (0.0787 mm-1),
the minimum face width of the pinion is
most nearly
A. 8.0 in (200 mm) C. 10 in (270 mm)
B. 9.0 in (230 mm) D. 14 in (350 mm)
Two 20o involute spur gears are mounted
such that their centers are 15 in (380 mm)
apart. The pinion is untreated steel Use the
Lewis beam strength theory. Given a
diametral pitch of 2 in-1 (0.0787 mm-1), the
minimum face width of the gear is most
nearly
A. 8.4 in (220 mm) C. 14 in (340 mm)
B. 10 in (250 mm) D. 18 in (430
mm)
An AGMA spur gear has 48 teeth and a
circular pitch of 0.785 in. Based on AGMA
Standard 2000 and using AGMA quality
number of 10, the pitch tolerance is most
nearly
A. 0.00035 in B. 0.00046 in
C. 0.00052 in D. 0.00059 in
A spur gear in an AGMA 20o spur gear
system has 24 teeth and a pitch diameter
of 15 in. The load is applied at the tip of
the tooth. The tooth strength of the spur
gear is most nearly
A. 120,000 lbf/in2
B. 240,000 lbf/in2
C. 310,000 lbf/in2
D. 640,000 lbf/in2
An AGMA gear with an A-1 classification
is designed for 10,000,000 load cycles.
The gear has a surface hardness of 180
BHN. …..Using AGMA standards for pitting
resistance, the maximum permissible
calculated contact stress for the gear is
most nearly
A. 55,000 lbf/in2
B. 65,000 lbf/in2
C. 67,000 lbf/in2
D. 95,000 lbf/in2
An AGMA spur gear has a circular pitch of
0.785 in and 24 teeth. Based on AGMA
standards and an AGMA quality number
of 11, the runout tolerance is most nearly
A. 0.0008 in C. 0.0017 in
B. 0.0012 in D. 0.0027 in
A wet, steel-backed asbestos clutch with
hardened steel plates is being designed to
transmit 300 in-lbf (33 N.m). The coefficient of
friction is 0.12. Slip will occur at 300% of the
rated torque. The maximum and minimum
friction surface diameters are 4.5 in and 2.5 in
(115 mm and 65 mm), respectively. The contact
pressure is 100 psi (700 kPa). Uniform wear is
expected. The number of plates needed is most
nearly
A. 2 C. 4
B. 3 D. 5
A wet, steel-backed asbestos clutch with
hardened steel plates is being designed to
transmit 300 in-lbf (33 N.m). The
coefficient of friction is 0.12. Slip will occur
at 300% of the rated torque. The maximum
and minimum friction surface diameters are
4.5 in and 2.5 in (115 mm and 65 mm),
respectively. The contact pressure is 100
psi (700 kPa). Uniform wear is expected.
The number of disks needed is most nearly
A. 2 C. 4
B. 3 D. 5
A piece of equipment is driven by a 15 hp
(11.2 kW) motor through a standard B90
V-belt. The motor runs at 1750 rev/min.
The nominal speed of the equipment must
be 800 rev/min. The motor’s sheave
diameter is 10 in (254 mm). The pitch
length of the belt is most nearly
A. 77 in (1960 mm)
B. 81 in (2060 mm)
C. 90 in (2290 mm)
D. 92 in (660 mm)
A piece of equipment is driven by a 15 hp
(11.2 kW) motor through a standard B90
V-belt. The motor runs at 1750 rev/min.
The nominal speed of the equipment
must be 800 rev/min. The motor’s sheave
diameter is 10 in (254 mm). The pitch
diameter of the sheave on the equipment
drive is most nearly
A. 20 in (520 mm) C. 24 in (610 mm)
B. 22 in (560 mm) D. 26 in (660 mm)
A 3 in (76 mm) diameter shaft turns at
1200 rev/min in a journal bearing. The
bearing has an axial length of 3.5 in (90
mm) and a radial clearance ratio (cr/r) of
0.001. The transverse load allocated to
the bearing is 880 lbf (4 kN). ……The
bearing characteristic number is most
nearly
A. 0.28 B. 0.31
C. 0.34 D. 0.40
A 3 in (76 mm) diameter shaft turns at 1200
rev/min in a journal bearing. The bearing has
an axial length of 3.5 in (90 mm) and a radial
clearance ratio (cr/r) of 0.001. The transverse
load allocated to the bearing is 880 lbf (4
kN). The lubricating oil has a temperature of
165oF (75oC) and a viscosity of 1.184 x 10-6
lbf-sec/in2 (8.16 cP). The axial length-to-
diameter ratio is most nearly
A. 0.86 C. 1.2
B. 1.0 D. 1.3
A 3 in (76 mm) diameter shaft turns at 1200
rev/min in a journal bearing. The bearing
has an axial length of 3.5 in (90 mm) and a
radial clearance ratio (cr/r) of 0.001. The
transverse load allocated to the bearing is
880 lbf (4 kN). ………The minimum film
thickness is most nearly
A. 0.00032 in (0.0080 mm)
B. 0.00064 in (0.016 mm)
C. 0.00096 in (0.024 mm)
D. 0.00096 in (0.024 mm)
A 3 in (76 mm) diameter shaft turns at 1200
rev/min in a journal bearing. The bearing has
an axial length of 3.5 in (90 mm) and a radial
clearance ratio (cr/r) of 0.001. The transverse
load allocated to the bearing is 880 lbf (4
kN). ……… The friction torque is most nearly
A. 5.1 in-lbf (0.59 N.m)
B. 7.9 in-lbf (0.91 N.m)
C. 10 in-lbf (1.2 N.m)
D. 15 in-lbf (1.7 N.m)
A 3 in (76 mm) diameter shaft turns at
1200 rev/min in a journal bearing. The
bearing has an axial length of 3.5 in (90
mm) and a radial clearance ratio (cr/r) of
0.001. The transverse load allocated to the
bearing is 880 lbf (4 kN). The power lost to
friction is most nearly
A. 0.12 hp (0.088 kW)
B. 0.15 hp (0.11 kW)
C. 0.25 hp (0.18 kW)
D. 0.44 hp (0.32 kW)
A 1 in pump journal bearing is bearing
is exposed to a 2500 lbf lateral shaft
load. The pressure on the journal
bearing is most nearly
A. 1050 lbf/in2
B. 1250 lbf/in2
C. 1310 lbf/in2
D. 1550 lbf/in2
A plain cylindrical journal bearing has an
operating characteristic value of 1.0 and a
radial clearance of 0.01 in. The angle
between the 5500 lbf bearing load and
the entering edge of the oil film is 30o,
resulting in an eccentricity ratio of 0.6.
The minimum film thickness of the
journal bearing is most nearly
A. 0.004 in C. 0.006 in
B. 0.005 in D. 0.007 in
A ball bearing with a single row of balls
has a basic design capacity of 5100 lbf.
Based on a 90% reliability, approximately
how many revolutions can it be expected
to turn if it is subjected to an equivalent
loading of 2500 lbf?
A. 0.12 x 106 rev
B. 0.50 x 106 rev
C. 1.3 x 106 rev
D. 8.5 x 106 rev
A ball bearing with a single row of balls
has a basic design capacity of 5100 lbf. If
the shaft turns at 1800 rev/min while
being loaded at 2500 lbf, approximately
how many hours will the bearing last
based on L10 life?
A. 80 hr C. 240 hr
B. 190 hr D. 610 hr
A ball bearing is intended to carry a
radial load of 5000 lbf. The ball bearing
is a double-row 200 series with a 20 mm
bore. The basic load rating of the bearing
is 3480 lbf. The L10 rated life in
revolutions of the bearing is most nearly
A. 340,000 rev
B. 360,000 rev
C. 450,000 rev
D. 930,000 rev
A 200 series double-row ball bearing is
to carry a radial and thrust load factors
are 0.63 and 1.25, respectively. The
basic load rating is 2000 lbf. The rated
life, L10 is most nearly
A. 400,000 rev
B. 500,000 rev
C. 600,000 rev
D. 700,000 rev
A 200 series double-row, deep-row
bearing has basic load rating of 2000 lbf
and a permissible equivalent load of
1820 lbf. The equivalent load factor is
most nearly
A. 1.1 B. 1.3
C. 2.1 D. 2.2
A ball bearing is to carry an equivalent
radial load of 1000 lbf. The rated life,
L10, is 500,000 revolutions. The basic
load rating is most nearly
A. 6500 lbf C. 7900 lbf
B. 7100 lbf D. 8000 lbf
A cylindrical structure with a 24 in outside
diameter has design parameters of 400 psi
and 300oF. The structure is constructed of
SA-516 grade 70 steel, and all welds are
double-weld butt joints. …….. Which
standard should be referenced to
determine the minimum required wall
thickness?
A. API 510 C. ASME B31.3
B. ASME BPVC Sec VIII D. API 570
A 60 in diameter horizontal pressure vessel
has a hemispherical head, two 72 in shell
courses, and three 12 in nozzles located on
the shell at the top of the vessel. The
design pressure for the vessel is 200 psi,
and the temperature is 300oF. Adding a new
14 in nozzle to the shell and operating the
vessel at 400oF would be classified as a(n)
A. alteration and rerating
B. rerating and repair
C. alteration and repair
D. derating and repair
A 48 in diameter vertical pressure vessel
was built 14 years ago with one 96 in
shell course made from 3/8 in plate
material. The current shell thickness is
0.207 in. The minimum life of the vessel
is most nearly
A. 1 yr B. 3 yr
C. 4 yr D. 6 yr
A 72 inside diameter cylindrical pressure
vessel has sameless torispherical heads.
Each head has an inside crown radius of
72 in and a knuckle radius of 4.5 in. ……
Exclusive of a corrosion allowance, the
required thickness of the heads is most
nearly
A. 0.49 in C. 0.58 in
B. 0.53 in D. 0.70 in
A 10 in nominal diameter schedule-80
pipe is used as the basis for constructing
a nozzle on the shell of a vessel operates
at 400 psi and 300oF. The vessel and
nozzle are constructed of SA-516 grade
70 and SA-106 grade B steel,
respectively. Exclusive of corrosion
allowances, the required nozzle neck
thickness is most nearly
A. 0.20 in B. 0.3 in
C. 0.4 in D. 0.5 in
A seamless pressure vessel has an inside
diameter of 60 in. The vessel is made from
0.75 in SA-515, grade 60 plate and is
designed for service at 200 psig at 750OF. Are
the specified thicknesses for the shell and
nozzle neck adequate?
A. shell, inadequate; nozzle neck, inadequate
B. shell, inadequate; nozzle neck, adequate
C. shell, adequate; nozzle neck, inadequate
D. shell, adequate; nozzle neck, adequate
The pressure vessel shown is intended for
general service. No radiography is performed.
The corrosion allowance is 1/8 in. The vessel is
seamless, operates at 350 psi and 500oF, and
is made from SA-106 steel. ………. Is the
thickness of the shell adequate?
A. 0.34 in required; adequate
C. 0.57 in required; adequate
B. 0.40 in required; adequate
D. 0.70 in required; adequate
The pressure vessel shown is intended for
general service. No radiography ……..Are the
thickness of the elliptical and hemispherical
heads, respectively, adequate?
A. elliptical, inadequate; hemispherical,
inadequate
B. elliptical, inadequate; hemispherical,
adequate
C. elliptical, adequate; hemispherical,
inadequate
D. elliptical, adequate; hemispherical,
adequate
The pressure vessel shown is intended for
general service. No radiography is
performed. The corrosion allowance is
1/8 in.….. Are the thickness of the sump
shell and head, respectively, adequate?
A. shell, inadequate; head, inadequate
B. shell, inadequate; head, adequate

C. shell, adequate; head, inadequate

D. shell, adequate; head, adequate
A pressure vessel previously used in a
refinery has been out of service for a
number of years. The vessel is known to
be constructed from 0.625 in SA-516,
grade 65 steel plate, ………..The vessel is
spot radiographed and operates at 850oF.
The corrosion allowance is 1/16 in. The
maximum design pressure is most nearly
A. 300 psig C. 430 psig
B. 350 psig D. 530 psig
A pressure vessel previously used in a
refinery has been out of service for a
number of years. The vessel is known to
be constructed from 0.625 in SA-516,
grade 65 steel plate, The corrosion
allowance is 1/16 in. If the vessel is tested
at room temperature, the hydrostatic test
pressure is most nearly
A. 600 psig B. 800 psig
C. 900 psig D. 1000 psig
A large pressure vessel with a circular flat
unstayed integral head is to operate at 20 psig.
The shell and head are constructed from
material with a maximum allowable stress of
20,000 psi. The inside diameter of the head is
147 in. The flange attachement factor is 0.20.
Spot radiography has been used on the head
attachement welds. Exclusive of any corrosion
allowance, what is most nearly the minimum
head thickeness?
A. 2.1 in B. 2.3 in
C. 2.5 in D. 2.7 in
A pressure vessel with a circular flat unstayed
head is to operate650 psig. Flanges are
constructed from 6 in NPS schedule-80 pipe
and are capped with welded flat unstayed plates
with a maximum allowable stress of 14,400 psi.
The inside diameter of the flange is 5.761 in.
The flange attachement factor is 0.33. Exclusive
of any corrosion allowance, what is most nearly
the minimum head thickness?
A. 0.70 in C. 0.96 in
B. 0.87 in D. 1.2 in
A spoked flywheel has an outside diameter of
60 in (1500 mm). The rim thickness is 6 in (150
mm) and the width is 12 in (300 mm). The
cylindrical hub has an outside diameter of 12 in
(300 mm), a thickness of 3 in (75 mm), and a
width of 12 in (300 mm). …………..What is the
rotational mass moment of inertia of the entire
flywheel?
A. 16,000 lbm-ft2 (625 kg.m2)
B. 16,200 lbm-ft2 (631 kg.m2)
C. 16,800 lbm-ft2 (654 kg.m2)
D. 193,000 lbm-ft2 (7500 kg.m2)
A 10 mil (250 µm) adhesive with a shear
strength of 1500 lbf/in2 (10 MPa) is used
in a lap joint between two 0.20 in (5 mm)
aluminium has ayield strength of 15,000
lbf/in2 (100 MPa). ……….If the joint is to
be as strong as the aluminium, the width
(overlap) of adhesive joint that is required
is most nearly.
A. 2.3 in (0.058 m) C. 5.3 in (0.13 m)
B. 4.0 in (0.10 m) D. 6.9 in (0.17 m)
The tool life equation for tool bit A is vA
TA0.3 = 605, and the equation for tool bit
B is vBTB0.15 = 386. v is the cutting speed
in feet per minute, and T is the tool life in
minutes. At a particular cutting speed,
tool bit B will last twice as long as tool bit
A before developing wear. This cutting
speed is most nearly
A. 120 ft/min B. 200 ft/min
C. 340 ft/min D. 480 ft/min
A hole is to be drilled into a 2 in thick
aluminium workpiece using a 0.5 in
drill bit. The average material removal
rate for the drilling operation is 0.6
in3/min. The time required to drill the
hole is most nearly
A. 39 sec C. 51 sec
B. 42 sec D. 58 sec
For an orthogonal metal cutting
operation, the cutting speed is 200
ft/min, the thrust force is 60 lbf, and
the resultant force is 100 lbf. The
amount of power input needed for the
cutting operation is most nearly
A. 0.25 hp C. 0.48 hp
B. 0.36 hp D. 0.63 hp
A square opening in a 2 in thick
aluminium alloy sheet has a side
length of 0.5 in. The aluminium has
an ultimate tensile strength of
120,000 lbf/in2. The initial force
required to punch the opening is most
nearly
A. 48 tons B. 62 tons
C. 95 tons D. 140 tons
A cylindrical shell is being drawn from a
0.125 in thick flat steel blank. The blank
is circular and has a diameter of 7.25 in.
A 3.5 in diameter punch is used. The
tensile strength of the steel is 65,000
psi. …………The angle of radial stress at
die entry is 90o. Neglect clearance. The
drawing force needed is most nearly
A. 45 tons B. 53 tons
C. 63 tons D. 72 tons
A round 6 in diameter steel billet is
extruded at 1500oF down to a
diameter of 2.5 in. The billet has an
extrusion constant of k = 30,000 psi.
The extrusion force needed is most
nearly
A. 520 tons B. 570 tons
C. 610 tons D. 740 tons
The work performed in raising a 500
kg elevator 30 m is most nearly
A. 75 KJ B. 150 KJ
C. 15,000 KJ D. 150,000 KJ
A 700 kg elevator starts from rest. It
accelerates uniformly for 3 sec, at which
time it reaches a speed of 1.8 m/s. What
is most nearly the average power
delivered by the elevator motor during
the acceleration?
A. 0.4 KW C. 6.6 KW
B. 6.2 KW D. 20 KW
A 700 kg elevator starts from rest. It
accelerates uniformly for 3 sec, at which
time it reaches a speed of 1.8 m/s. What
is most nearly the instantaneous power
at t = 3 s?
A. 0.8 KW C. 13 KW
B. 12 kW D. 18 KW
An elevator with an empty mass of 1200
kg has a passanger capacity of 900 kg.
The guide rail system imparts a constant
frictional force of 4200 N. What is most
nearly the minimum motor power
required to lift the full elevator at a
constant speed of required to lift the full
elevator at a constant speed of 4.5 m/s?
A. 89 KW C. 120 KW
B. 110 KW D. 130 KW
An elevator with an empty mass of 1200
kg has a passanger capacity of 900 kg.
The guide rail system imparts a constant
frictional force of 4200 N. What is most
nearly the instantaneous power
developed when the elevator accelerates
from 4.5 m/s at 1.75 m/s2?
A. 89 KW C. 120 KW
B. 110 KW D. 130 KW
The amount of corn (angle of internal
friction = 21o) that can be stored in a
triangular window pile 50 ft wide x 100
ft long is most nearly
A. 15,000 bu
B. 18,000 bu
C. 23,000 bu
D. 29,000 bu
A large flat –bottom steel silo has a
diameter of 12 ft and a height of 60 ft.
The silo is filled with polyethylene pellets
(bulk specific weight of 35 lbf/ft3 and
angle of internal friction of 20o) Disregard
friction between the pellets and silo wall.
What is most nearly the pressure on the
vertical wall at the bottom of the silo?
A. 280 lbf/ft2 B. 340 lbf/ft2
C. 390 lb/ft2 D. 570 lbf/ft2
A rain cargo hopper has a capacity of
42,000 lbm. Polyethylene pellets (bulk
density = 35 lbm/ft3) enter the hopper
through a 6 in schedule 40 opening
from a mass flow silo whose walls are
inclined 65o from the horizontal. The
time required for the compartment to
fill is most nearly
A. 15 min B. 19 min
C. 26 min D. 34 min
A continuous conveyor belt operates at 120
ft/min using a 5 hp drive. All of the
conveyor is inclined 10o from the
horizontal and raises goods a vertical
distance of 10 ft. The maximum loading
that the conveyor can transport is most
nearly
A. 320,000 lbm/hr
B. 690,000 lbm/hr
C. 770,000 lbm/hr
D. 890,000 lbm/hr
A continuous rubber belt conveyor
operates at 120 ft/min. The coefficient of
friction between the belt and its pulley is
0.35. The belt wrap angle on the driving
pulley is 240o. The maximum belt tension
is 750 lbf. The power required to drive
the belt is most nearly
A. 0.6 hp C. 2.1 hp
B. 1.4 hp D. 2.9 hp
A continuous conveyor belt operates at 120
ft/min at temperatures between 30oF and 100oF.
Belt tension and pulley friction are adequate at
both temperature extremes. The belt is 0.25 in
thick and 24 in wide. The belt material has a
thermal coefficient of 1.8 x 10-6 1/oF and
Young’s modulus of 1.0 x 106 psi. What is most
nearly the decrease in motor power required
when the temperature increases from 30oF to
100oF?
A. 0.84 hp C. 2.7 hp
B. 1.5 hp D. 4.7 hp
A particular dust is modelled as spherical
particles with a diameter of 5 µm and a
solid density of 2.0 g/cm3. The dust enters
a conventional 2D2D air cyclone in standard
air at 20 m/s. The cyclone diameter is 1.0
m, the entrance width is 0.25 m, and the
entrance height is 0.5 m. What is most
nearly the removal efficiency?
A. 28% B. 32% C.
39% D. 43%
68oF air tangentially enters a 2 ft wide x
5 ft high rectangular entrance of a high-
efficiency gas cyclone at 50 ft/sec. The
clean air leaves through a 5 ft diameter
exit. What is most nearly the pressure
drop?
A. 19 lbf/ft2 B. 24 lbf/ft2
C. 35 lbf/ft2 D. 60 lbf/ft2
1800 lbm/hr of sawdust with a bulk
density of 11 lbm/ft3 is conveyed by air
at standard conditions through a 6 in
schedule-40 pipe. The material loading
ratio is 1:2. What is most nearly the air
velocity?
A. 1700 ft/min C. 2600 ft/min
B. 2200 ft/min D. 4000 ft/min
A gas stream contains a mixture of acetone
at 1000 ppm, benzene at 2000 ppm, and
toluene at 500 ppm. The lower explosive
limits (LELs) are
Acetone : 25,000 ppm
Benzene :12,000 ppm
Toluene : 11,000 ppm
What is most nearly the LEL of the mixture?
A. 14,000 ppm C. 17,000 ppm
B. 16,000 ppm D. 48,000 ppm
A jet of water flows from an open hydrant port
at a rate of 900 gal/min. The centreline of the
port is 30 in above level grade, and the inside
diameter of the port is 2.5 in. Wind and air
resistance are negligible. Approximately how
far does the center of the water jet travel before
hitting the ground?
A. 15 ft C. 32 ft
B. 23 ft D. 76 ft
Firefighters can get no nearer than 50 ft
from a burning building. They want to
direct water from a fire hose into the
center of an open window on an upper
floor. The effective inside diameter of the
hose nozzle is 1.5 in, …….. The angle at
which the firefighters need to aim the fire
hose nozzle is most nearly.
A. 29o B. 32o
C. 36o D. 39o
Two hydrants are located adjacent to each
other next to a building. The hydrants are
fed by the same main as a fire sprinkler
system in the building. The static pressure
in the main is 85 psig. ………… The
expected residual pressure at the second
hydrant at a flow of 750 gal/min is most
nearly
A. 30 psig B. 48 psig
C. 55 psig D. 62 psig
An unmonitored fire suppression system is
being planned for a combined horse barn
(moderate amounts of hay), stable, and
attached garage/workshop. The building
has 11 ft ceilings and a protected area of
2500 ft2. ……..What is most nearly the
minimum tank size required for the
system?
A. 49,000 gal B. 63,000 gal
C. 72,000 gal D. 76,000 gal
A hydraulically calculated sprinkler design
uses a total of 20 identical sprinklers
arrange in five identical four-sprinkler
runs. ……….. NFPA 13, what is most
nearly thw water flow rate that must be
supplied for the design to function
properly?
A. 96 gpm C. 240 gpm
B. 190 gpm D. 480 gpm
A wet pipe sprinkler system is installed
in a building classified as an ordinary
hazard group 2 (OH-2) occupancy. The
system was originally designed for pure
water, but since the interior of the
building ……………… What is most nearly
each sprinkler’s expected flow rate with
the propylene glycol-water solution?
A. 24 gpm B. 25 gpm
C. 26 gpm D. 27 gpm
A section of sprinkler system piping spans a
distance of 100 ft. the pipe run is level and
includes two 45o elbows (K = 0.3). The pressure
at the entrance is 90 psia. The minimum residual
pressure head at the end of the run is 4 ft wg.
The pipe is standard weight, 2 in B36.10
sprinkler system piping, which has a specific
roughness of 0.000005 ft. What is most nearly
the maximum flow rate of 60oF water through the
pipe run?
A. 210 gpm C. 620 gpm
B. 410 gpm D. 860 gpm
A pumper truck draws water from an
open reservoir below. The pumper truck
and suction piping are 20 ft above the
surface of the reservoir. The equivalent
length of the suction piping is 45 ft, the
diameter ………..The net positive suction
head (NPSH) to the pump is most nearly
A. 5.3 ft D. 7.1 ft
C. 8.8 ft D. 9.7 ft
A pumper truck draws water from an
open reservoir below. The pump suction
piping is 14 ft above the surface of the
reservoir. The diameter of the suction
piping is 4 in, and the Hazen-Williams
coefficient (C-value) …………The
maximum permissible equivalent length
of the suction piping is most nearly
A. 26 ft B. 57 ft
C. 73 ft D. 96 ft
A PM-10 sample is collected with a high-
volume sampler over a sampling interval of 24
hours and 10 minutes. The sampler draws an
average flow of 41 ft3/min and collects
particles on a glass fiber filter. The initial and
final masses of the filter are 4.4546 g and
4.4979 g, respectively. The PM-10
concentration is most nearly
A. 11 µg/m3 C. 42 µg/m3 B. 26
µg/m3 D. 55 µg/m3
At one setting of rotational speed and
airflow rate, 1.0 µm diameter particles
entering a centrifuge particulate sampler
travel 11 in from the inlet to the inside of
the outer collection wall. ……………….
What is most nearly the diameter of the
particles that travel 17 in from the inlet to
the wall?
A. 0.48 µm B. 0.72 µm
C. 0.80 µm D. 0.93 µm
The performance of a pilot study
baghouse follows the filter drag model,
with Ke = 0.6 in wg-min/ft and Ks = 0.07
in wg-ft2-min/gr. After 20 minutes
……….Most nearly, what is the pressure
drop for the full scale baghouse after 20
minutes?
A. 2.5 in wg B. 4.1 in wg
C. 5.2 in wg D. 7.5 in wg
2500 ft3/min of air flow into a
baghouse. The air has a particulate
concentration of 0.8 g/m3. The
collection efficiency is consistent
with a rate constant of -1.26 1/hr.
Most nearly, what mass of
particulate matter is removed in the
first five hours of operation?
A. 32 lbm C. 42 lbm
B. 36 lbm D. 63 lbm
A 6 ft high spray tower has a collection
efficiency of 80% when removing 10 µm
diameter particles. If the tower’s height
is increased to 8 ft, and if all other
characteristics are unchanged, the
collection efficiency when removing 7
µm diameter particles will be most
nearly
A. 85% B. 91%
C. 95% D. 98%
An electrostatic precipitator is being
designed for 110,000 ACFM of 400oF flue
gas containing incinerator fly ash at a
concentration of 3.2 gr/SCF. For this
installation, the effective drift velocity is
0.31 ft/sec. The required collection
efficiency is 99.9%. The maximum
pressure loss is 5 in wg. Most nearly what
should the total collection area be?
A. 26,000 ft2 B. 31,000 ft2
C. 31,000 ft2 D. 41,000 ft2
An electrostatic precipitator (ESP) has an
efficiency of 95%. By increasing the
collection area, the ESP’s efficiency
processing the same gas is increased to
99%. The ratio of the new collection area
to the original collection area is most
nearly.
A. 1.5 B. 1.7
C. 2.1 D. 2.5
Two chamber electrostatic precipitator
(ESP) has an overall efficiency of 98% when
the flow is split equally between the two
chambers. If 80% of the same total flow
goes through one chamber and 20% goes
through the other, what is most nearly the
new efficiency of the ESP?
A. 84% B. 89%
C. 92% D. 93%
The yield strength of a structure steel
member is 36,000 lbf/in2 (250 MPa).
The tensile stress is 8240 lbf/in2 (57
MPa). The factor of safety in tension is
most nearly
A. 2.5 B. 3.1
C. 3.6 D. 4.4
A structural steel member 50 ft (15 m)
long is used as along column to support
75,000 lbf (330 kN). Both ends are built-
in, and there are no intermediate
supports. A factor of safety of 2.5 is
used. The required moment of inertia is
most nearly
A. 48 in4 (2.0 x 10-5 m4)
B. 72 in4 (3.0 x 10-5 m4)
C. 96 in4 (4.0 x 10-5 m4 )
D. 130 in4 (5.5 x 10-5 m4)
A long steel column has pinned ends
and a yield strength of 36,000 lbf/in2
(250 MPa). The column is 25 ft (7.5 m)
long………………………… Using secant
formula, the stress factor of safety is
most nearly
A. 1.6 B. 2.1
C. 2.4 D. 3.0
A rectangular tank with dimensions of
2 ft by 2 ft (60 cm x 60 cm) is
pressurized to 2 lbf/in2 gage (14 kPa).
The steel plate used to construct a
tank has a thickness of 0.25 in (6.3
mm) and a yield stress of 36 ksi (250
MPa). Neglecting stress concentration
factor at the corners and edges, the
factor of safety is most nearly
A. 3.1 B. 3.7
C. 4.2 D. 6.3
A short section of pipe with an inside
diameter of 1.750 in (44.5 mm) is to be
produced by turning and boring bar
stock. The steel has an allowable normal
stress of 20,000 lbf/in2 (140 MPa).
…………..Using a thick-walled analysis,
the required outside diameter is most
nearly
A. 1.9 in (49 mm) C. 2.6 in (66 mm)
B. 2.2 in (56 mm) D. 3.9 in (99 mm)
A pressurized cylinder has an inside
diameter of 0.742 in (18.8 mm) and an
outside diameter of 1.486 in (37.7 mm).
The cylinder is subjected to an external
pressure of 400 lbf/in2 gage (2.8 MPa). The
maximum stress developed in the cylinder
is most nearly
A. -3600 lbf/in2 (-28 Mpa)
B. -2500 lbf/in2 (-18 MPa)
C. -1600 lbf/in2 (-12 MPa)
D. -1100 lbf/in2 (-7.5 MPa)
A projectile launcher is formed by
shrinking a jacket over a tube of the same
length. The assembly is made with the
maximum allowable diametral
interference. …………..The maximum
allowable stress at the interface is 18,000
lbf/in2 (124 MPa). The diametral
interference is most nearly
A. 0.0064 in (0.16 mm)
B. 0.0088 in (0.22 mm)
C. 0.012 in (0.30 mm)
D. 0.022 (0.56 mm)
A projectile launcher is formed by
shrinking a jacket over a tube of the
same length…………… The maximum
allowable stress at the interface is
18,000 lbf/in2 (124 MPa). The maximum
circumferential stress in the jacket is
most nearly
A. 12,000 lbf/in2 (81.6 MPa)
B. 14,000 lbf/in2 (95.2 MPa)
C. 16,000 lbf/in2 (106 MPa)
D. 18,000 lbf/in2 (124 MPa)
A projectile launcher is formed by
shrinking a jacket over a tube of
the same length. ……………..The
minimum circumferential stress in
the tube is most nearly
A. -18,000 lbf/in2 (-124 MPa)
B. -16,000 lbf/in2 (-106 Mpa)
C. -14,000 lbf/in2 (-95.2 MPa)
D. -12,000 lbf/in2 (-81.6 MPa)
Two hollow cylinders of the same length are
press fitted together with a diameter
interference of 0.012 in (0.3 mm). The outer
cylinder has a wall thickness of 0.079 in
( 2mm) At the interface between the two
cylinders, the circumferential stress for the
inner cylinder is most nearly
A. -130,000 lbf/in2 (-900 MPa)
B. -71,000 lbf/in2 (-490 MPa)
C. -31,000 lbf/in2 (-210 MPa)
D. -26,000 lbf/in2 (-180 MPa)
Two hollow cylinders of the same length are
press fitted together with a diameter
interference of 0.012 in (0.3 mm). The outer
cylinder has a wall thickness of 0.079 in
( 2mm) and ……At the interface between the
two cylinders, the circumferential stress for
the outer cylinder is most nearly
A. 48,000 lbf/in2 (330 MPa)
C. 148,000 lbf/in2 (1020 MPa)
B. 53,000 lbf/in2 (370 MPa)
D. 210,000 lbf/in2 (1400 MPa)
A ¾ - 16 UNF steel bolt is used without
washers to clamp two rigid plates, each 2
in (50 mm) thick, 0.74 in (19 mm) of the
threaded …………………Approximately
how much does the bolt stretch?
A. 0.006 in (0.15 mm)
B. 0.012 in (0.30 mm)
C. 0.024 in (0.60 mm)
D. 0.048 in (1.2 mm)
A class 30 gray cast-iron hub with an
outside diameter of 12 in (300 mm) is
pressed onto a soft steel solid shaft
……………………… The maximum radial
interference such that the stress-strain
relationship remains linear is most nearly
A. 0.0014 in (0.036 mm)
B. 0.0060 in (0.15 mm)
C. 0.0087 in (0.22 mm)
D. 0.0011 in (0.28 mm)
The bracket shown is attached to a
column with three 0.75 in (19 mm) bolts
arrange in an equilateral triangle layout.
A force ……………………… Perform the
elastic analysis to determine the
approximate maximum force that the
connection can support.
A. 700 lbf (3.1 kN)
B. 1200 lbf (5.3 kN)
C. 2400 lbf (11 kN)
D. 4700 lbf (20 kN)
A fillet weld is used to secure a steel
bracket to a column. The bracket supports
a 10,000 lbf (44 kN) force
……………………………… Perform an
elastic analysis to determine the
approximate size fillet weld required.
A. 3/8 in (9.5 mm)
B. ½ in (13 mm)
C. 5/8 in (16 mm)
D. ¾ in (19 mm)
A 2 in (50 mm) diameter steel solid shaft
rotates at 3500 rpm. A 10 in (406 mm)
outside diameter, 2 in (50 mm) thick
…………………………………… The radial
interference required when the shaft is
not turning is most nearly
A. 1.0 x 10-4 in
B. 1.5 x 10-4 in
C. 2.1 x 10-4 in
D. 2.7 x 10-4 in
An American Unified Standard Threaded
bolt is preloaded with a tensile force of
80,000 lbf. The bolt’s modulus of
elasticity is 20 x 106 psi, the original
length is 4 in, and the maximum
allowable elongation due to preloading is
0.05 in. The minimum appropriate coarse
series nominal size is
A. ¼ in B. 3/8 in
C. 7/16 in D. ¾ in
An SAE bolt is loaded by a tensile
proof load. The sum of the bolt’s root
diameter and pitch diameter is 1 in.
Under a proof stress of 70,000 psi,
the bolt elongates 0.0147 in. The
spring constant for the bolt is most
nearly
A. 6.2 x 105 lbf/in
B. 9.4 x 105 lbf/in
C. 17 x 105 lbf/in
D. 22 x 105 lbf/in
A bolt is preloaded with a force of
50,000 lbf. The bolt has a cross-
sectional area of 1 in2, a spring constant
of 10 x 106 lbf/in, and a modulus of
elasticity of 20 x 106 lbf/in2. The
elongation of the bolt as a percentage
of the original length is most nearly
A. 1.0% B. 1.5%
C. 1.7% D. 2.5%