[Document title]

MACHINE DESIGN VERY IMPORTANT PROBLEM

The Engineering stress in a solid tension member was 324 Mpa at failure. The reduction
in area was 80%. What was the true strain value at failure?
A. 1.61
B. 1.16
C. 1.24
D. 1.42
A hoist with a 170-hp engine is capable of lifting 20,000 lb load a height of 20 ft. in 10
seconds. What is the efficiency of this machine?
A. 27.15%
B. 36.40%
C. 30.70%
D. 42.78%
A slab-milling operation is being carried out on a 12 inch long , 4 inch wide annealed
mild steel block at a feed 0.01 inch/tooth and a depth of cut 1/6 in . The cutter is 2
inches in diameter, has 20 straight teeth, rotates at 100 rpm, and is wider that the block
to be machined. Calculate the power requirement considering that the work piece is
annealed mild steel with specific energy of 1.1 hp-min/cu.in.
A. 20 hp
B. 22 hp
C. 44 hp
D. 25 hp
A simple epicylic gearbox with one planet has gears with 24, 40 and 104 teeth on the
sun, planet and internal ring gears respectively. The sun rotates clockwise at 50 rpm.
The ring gear is fixed. What is the rotational velocity of the planet carrier?
A. 12.16 rpm
B. 8.49 rpm
C. 11.54 rpm
D. 9.38 rpm
A jackscrew has a pitch of 3 mm and handle 600 mm long. A force of 60 N must be
applied when a load of 25 kN is being lifted. Calculate the Ideal Mechanical Advantage.
A. 1257
B. 2.4
C. 33
D. 416.67
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Which of the following is the ratio of the fatigue strength without a stress concentration
to the fatigue stress with a stress concentration?
A. Wahl Factor
B. Fatigue stress concentration factor
C. Reliable Factor
D. Factor of safety
A multiple-disc clutch consists of 10 steel discs and 9 bronze discs. The effective outside and
inside diameters are 8 inches and 6 inches respectively. If an axial force 100 lb is applied and
the shaft turns at 1000 rpm, find the horsepower capacity. Assume the coefficient of friction of
0.25 and uniform pressure.
A. 32.5 hp
B. 25.5 hp
C. 43.7 hp
D. 15.7 hp
A 1.00 m cast ircn wheel has a 1.00 mm thick steel ring shrunk into it as a tire. The interference
fit is 1.0 mm. What is the contact pressure?
A. 42 Kpa
B. 12 Kpa
C. 32 Mpa
D. 21 Mpa

Fixing both ends of a simply supported beam that has only concentrated load at the midspan will
increase the allowable load by

A. 200%
B. 25%
C. 100%
D. 50%
What is the most suitable material in a TIG welding process?

A. Aluminum
B. Plain Steel
C. Alloy steels
D. Copper

A slab-milling operation is being carried out on a 12-in long, 4-in wide annealed mild-steel block
at a feed 0.01 in/tooth and a depth of cut 1/6 in. The cutter is 2 inches in diameter, has 20
straight teeth, rotates at 100 rpm, and is wider that the block to be machined. Calculate material
removal rate.
A. 13 cu. in/min
B. 10 cu. in/min
C. 25 cu. in/min
D. 40 cu. in/min
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What is the diameter of the solid shaft when it is coupled by 7 bolts 1.25 inches in diameter
with centers 6 inches from the axle?
A. 8 in
B. 6 in
C. 9 in
D. 7 in

A flywheel has a diameter of 1.5 m, and a mass of 800 kg. Calculate the torque needed to produce an
angular acceleration of 100 rpm, per second?

A. 225 J
B. 3456 J
C. 3212 J
D. 2356 J
A simple disc clutch has elements with outside and inside diameter of
25 mm and 100mm respectively. The axial force is 314.6 lb. If the
coefficient of friction is 0.3, find the torque capacity based on
uniform wear.
A. 70 N-m
B. 90 N-m
C. 67 N-m
D. 78 N-m
Commercial propane stored in a spherical steel tank at 100°F generates a gage pressure of 160 psi. If the
tank is 4 feet in diameter and has walls 0.25 inch thick, what maximum tensile stress in psi is developed
in the steel?

A. 13,000 psi
B. 1,700 ps
C. 7,700 psi
D. 2,900 psi

During a stress-strain test, since the given stresses are below the proportional limit, the unit
deformation at a stress of 35 MPa was observed to be 123 x 10 to the minus 6 m/m and a
stress of 135 MPa, it was. 321 x 10 to the minus 6 m/m. If the proportional limit was 150 MPa,
compute for the strain in in/in corresponding to the stress of 100 000 kPa. Express your answer
in three significant digits.
A. 2.68 x 10 to the minus 4 in/in
B. 3.18 x 10 to the minus 4 in/in
C. 4.67 x 10 to the minus 4 in/in
D. 1.89 x 10 to the minus 4 in/in
What is the result when mers join with a high degree of regularity in chain structure and mer
orientation?

A. Isotactic polymer
 [Document title]

B. Trans me
C. Syndiotactic polymer
D. Atactic polymer

The center of a wheel with an outer diameter of 610 mm is moving at 12.5 m/s. There is no
slippage between the wheel and the surface. A valve stem is mounted 150 mm from the center.
What is the velocity of the valve stem when it is 45 degrees from the horizontal?
A. 12.5 m/s
B. 17.4 m/s
C. 20.62 m/s
D. 40.98 m/s
A 3.25 in diameter steel support wire normally strung between two utility poles 125 ft apart
under 1500 lbf of tension. A winch maintains the tension by stretching the wire. A new
procedure requires 4250 lbf of tension. Calculate the length of additional wire the winch must
decrease to reach the new tension.
A. 6.8 cm
B. 8.15 cm
C. 7.11 cm
D. D. 5.12 cm
What is the bursting speed for a cast iron flywheel having a tensile strength of 20,000 psi?

A. 456.22 ft/s
B. 444.21 ft/s
C. 546 ft./s
D. 436 ft/s

When a column is subjected to an eccentric load, the stress induced in the column will be

A. both direct and bending stress

B. shearing stress only
C. bending stress only
D. direct stress only

Determine the maximum permissible velocity v in a cast iron thin rim of a flywheel if the maximum
allowable tensile stress in cast iron is 4000 psi. The cast iron weighs 0.255 lb/cu in.

A. 54.5 m/s
B. 205 m/s
C. 62.5 m/s
D. 125 m/s

A 1/4 inch cone pointed setscrew is spotted one-half of the length of the cone. The cone angle
is 118 degrees and the allowable shearing stress of the setscrew material is 10,000 psi. Find
the holding power of the setscrew when it is securing a pulley to a 1/2 inch shaft.
A. 490.87 lbs
B. 245.44 lbs
 [Document title]

C. 1963.50 lbs
D. 122.72 lbs
Find the pressure required to punch a 1-inch square hole in -in thick steel?

A. 20 tons
B. 16.25 tons
C. 20.125 tons
D. 26.67 tons

A rivet is made of medium steel and is 3/4 inch in diameter, what total safe resistance can it offer with a
factor of safety of 8 and the ultimate shearing stress is 50 ksi?

A. 2 tons
B. 5604 lbf
C. 12.3 kN
D. 2760 kgf

A 6-mm fillet weld 50 mm long carries a steady load of 13,000 N lying along the weld. The weld metal
has a yield strength of 360 Mpa. Find the value of the factor or safety.

A. 2.94
B. 3.2
C. 1.75
D. 1.45

The diameter of a solid shaft that rotates 100 rpm and transmits 1.2 hp is 7/8 inch. Calculate the design
stress (for shear) if the shaft is subjected to torsion only.

A. 7000 psi
B. 6000 psi
C. 8000 psi
D. 5000 ps

If a car wheel is 60 cm diameter and a rim is 0.90 mm smaller ID, to what temperature would it
be necessary to heat the rim to provide a 0.100 mm clearance to assemble the rim on the
wheel? Both members are made of steel. Dry ice at negative 79 deg C is available to cool the
wheel. Ambient temperature is 20 deg. C.
A. 45.6 deg.C
B. 43.4 deg. C
C. 32.5 deg.C
D. 63.4 deg. C
A slab-milling operation is being carried out on a 12-in long, 4-in wide annealed mild-steel block
at a feed 0.01 in/tooth and a depth of cut 1/8 in. The cutter is 2 inches in diameter, has 20
straight teeth, rotates at 100 rpm, and is wider that the block to be machined. Calculate the
linear speed of the work piece
A. 50 in/min
B. 40 in/min
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C. 25 in/min
D. 20 in/min
A No. 40, roller chain operates at 1100 rpm between 16 tooth and 30 tooth
sprockets. If the center distance between the sprockets is 20 in., running
conditions being normal, calculate the diameter of the driving sprocket.
Note: the pitch of No. 40 roller chain is ½ in.

A. 3.2
B. 2.6
C. 3
D. 4.8
A simply supported wood beam has a rectangular cross section of 50 mm wide
and 100mm deep. A concentrated load rest at the midpoint of the 4m span. Find
the allowance load if the allowable tensile stress is 8.3 Mpa

A. 654 N
B. 500 N
C. 792 N
D. 692 N
A shaft B, turning 140 rpm, has pulley 4, 30 inches in diameter keyed to it.
Pulley 4 is belted to a pulley 2 on a shaft A whose speed is 210 rpm. Find
the size of pulley 2.

A. 30 in
B. 20 in
C. 12 in
D. 40 in
What horsepower that can safely be transmitted by a ½ inch set screw (holding
power is equal to 500lbf) employed in a pulley installation if the rotative
speed of the pulley is 850 rpm and diameter of the shaft is 1 1/2 inch

A. 10.2 Hp
B. 2.5 Hp
C. 5.1 Hp
D. 2.5 Hp
A Spring with 12 active coils and a spring index of 10 supports a static load
of 220N with a deflection of 10mm. The shear modulus of the spring material
is 83Gpa. What is the theoretical wire diameter?

A. 10mm
B. 14 mm
C. 25 mm
D. 12 mm

A no. 40 Roller Chain operates at 1100 rpm between 16 tooth and 3o tooth
sprockets. If the center Distance between the sprockets is 2o inch. Running
condition being normal, calculate the average chain velocity. Note the pitch
of No.40 Roller chain is ½ in.
 [Document title]

A. 675.45 fpm
B. 1254.54 fpm
C. 548.75fpm
D. 748.75 fpm
A shaft is 1 m long. It is having a taper of 4mm per meter over a
length of 500mm at one end. The maximum diameter of the shaft is 80mm.
Find the smaller diameter of the shaft.
A. 78 mm
B. 68 mm
C. 80 mm
D. 87 mm
A jackscrew has lever arm of 40 cm and a pitch of 5 mm. If the
efficiency is 30%. What is the actual Mechanical Advantage (AMA)?

A. 250
B. 150
C. 300
D. 500
A flange coupling is designed to use 6 bolts on a 4-in diameter bolt
circle. The allowable stress in shear is 12,000 psi, the maximum
torqued is 50 ft-lbf. Find the diameter of the bolt required
A. 1.85 mm
B. 1.52 mm
C. 0.073 mm
D. 3.2 mm
Normal Stress Ix = 25 Mpa, Sy= 30 Mpa and Shear stress of 20 Mpa are
depicted using mohr’s circle. What would be the radius of the circle?
A. 16
B. 18
C. 22
D. 20
A flywheel on a press rotating at 120 rpm is allowed to 110 rpm during
punching operation that requires ¾ second for the punching portion of
the cycle. What angular acceleration does the flywheel experience?
A. 3.52 rad/sq.s
B. 1.40 rad/sq. s
C. 13.3 rad/sq.s
D. 4.52 rad/sq. s
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Using wheel and axle, a 4000 N load can be raised by a force of 500N
applied to the rim of the wheel. The radii of the wheel and axle are
85cm and 6cm respectively. Compute the AMA (Actual Mechanical
Advantage) of the machine?
A. 10.4
B. 0.125
C. 14.2
D. 1500
A short cylindrical Cast iron posts supports a compressive load of 20
tons. Compressive stess is equal to 80 ksi and the factor of safety is
10. Neglecting slenderness ratio and assuming that there is no
buckling, compute the post diameter
A. 25.2 in
B. 6.41 cm
C. 64.1 mm
D. 2.52 mm
A 150-ton hydraulic jack has an 8 in diameter piston and a cylinder
wall thickness of 0.20 inch. Find the approximate permissible working
stress if the cylinder is fabricated from high strength steel
A. 80 Ksi
B. 50 ksi
C. 60 ksi
D. 120 ksi
A N0. 50 roller chain operates at 1100 rpm between 16 tooth and 30
tooth sprockets. If the center distance between the sprockets is 20
in. running condition being normal, calculate the length of roller
chain. Note the pitch of No. 50 roller chain is 5/8 in.
A. 87.2 pitches
B. 43.6 pitches
C. 54.5 pitches
D. 32.3 pitches
A semi-elliptical leaf spring has a load of 80lbs acting at its center
distance 8 inches, the leaf thickness is 1/8 in. and the width of the
leaf is ½ in. If the modulus of elasticity is 30X 10 raised to 6 psi,
what is the induced stress?
A. 122,880 psi
B. 100,240 psi
C. 86,412 psi
D. 92,160 psi
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A leaf spring consists of a seven steel plates, each 60 mm wide and 6

mm thick. What is the length of the spring if it is to carry a central
load of 3 KN, without the stress exceeding 150 Mpa?
A. 547 mm
B. 498 mm
C. 494 mm
D. 504 mm
A 6-in long ½ in diameter 304 stainless steel rod is being reduced in
diameter to 0.480 in by turning on a lathe. The spindle rotates at
N=400 rpm, and the tool is travelling at an axial speed of 8 in/min.
Calculate the depth of cut.
A. 0.01 in.
B. 0.03 in
C. 0.02 in
D. 0.005 in
When coil spring with a spring scale of 150 lb/in is compressed 1.75
in., the coils are closed. The allowable shearing stress is 75,000 psi
and the spring index is 6, the ends are squared and ground, and G= 12
X 10 (raised to 6) psi. Calculate the coil diameter.
A. 1.55 in
B. 1.14 in
C. 0.259 in
D. 1.98 in
A worm gear is employed to transmit 6 hp from electric motor shaft
revolving at 1000 rpm to a centrifugal compressor shaft running at 80
rpm. Calculate the velocity ratio assuming that worm have 4 threads.
A. 800
B. 50
C. 12.5
D. 10.7
An inclined plane 15m long rises 3m. What force applied parallel to
the plane is required a 20 kg gear box up the plane if friction is
negligible
A. 54N
B. 100 N
C. 39 N
D. 45 N

A 40-tooth steel gear has a diametral pitch of 2. The pressure angle

is 14 degrees. Find the clearance.
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A. 0.579
B. 0.079
C. 0.050
D. 1.571
A torsional pendulum is composed of a 0.5 m long shaft with a diameter
of 0.50 cm and a shear modulus of 8 x 10 ( raised to 4) Mpa, and thin
3 kg disc with a radius of 30 cm. The natural frequency of pendulum is
10.5 rad/sec. What is the period of oscillation?
A. 0.439 s
B. 0.299 s
C. 0.598 s
D. 1.67 s
Calculate the deflection of steel bar to resist the impact of 650lb
weight dropped through a distance of 7 inches. The bar is made of
steel and is 16 inches in length. Assume a design stress of 24,000psi.
A. 0.0121 in
B. 0.0128 cm
C. 0.0344 in
D. 0.0325 cm
A thin circular disk of mass 25kg and radius 1.5 m is spinning about
its axis with an angular velocity of 1800 rpm. It takes 2.5 min to
stop the motion by applying a constant force to the edge of the disc.
Calculate the force required
A. 30 N
B. 32 N
C. 24 N
D. 15 N
The moment of inertia of a circular disc of radius 2 m and
mass 2 kg bout an axis passing through its center of mass is 2 kg−m2.
Its moment of inertia about an axis parallel to this axis and passing
through its edge (in kg−m2) is
A. 10
B. 8
C. 6
D. 4
A ball is dropped from height 5 m. The time after which ball stops
rebounding if coefficient of restitution between ball and
ground e=1/2, is
A. 1 sec
B. 2 sec
C. 3 sec
D. Infinite
 [Document title]

A block of 150 kg is placed on an inclined plane with an angle of 60∘.

The component of the weight parallel to the inclined plane is
A. 1300 N
B. 1400 N
C. 1100 N
D. 1600 N

What would be the maximum stress of a cantilever beam holding a mass

of 500kg at its end if it is 3m long and is made of 200 mm wide by 300
mm high wooden beam?

A. 3.2 Mpa
B. 5.4 Mpa
C. .2.5 Mpa
D. 4.9 Mpa
A flat belt 4 in and 3/16 thick operates on pulley of diameter 5 and
15 inches transmit 10hp. The friction coefficient between the belt and
the pulleys is 0.30. The belts specific weight is 0.04 lb/cu.in. The
pulleys are rotating at 1500 rpm and they are 5 feet apart. Determine
the belt speed.
A. 2450 fpm
B. 2400 fpm
C. 2000 fpm
D. 1964 fpm
What should be the radius of the driving pulley have on which a rubber
belt runs so that bending stress in belt is limited to 725 psi?
Note: the belt cross section is rectangle 15mm thick x 110 mm wide E=
100 Mpa.
A. 0.150 cm
B. 15 mm
C. 5.9 in
D. 3.2 in
The cutting speed for turning a 4-inch diameter bar has been found to
be 575 fpm. Calculate the spindle speed.
A. 549 rpm
B. 453 rpm
C. 54.57 rpm
D. 45.75 rpm
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A hollow wrought iron rod is subjected to a varying tensile load of

2400 pounds acting along its axis. Its inside diameter is ¾ inch and
its outside diameter is 1 inch. Find the factor of safety if the
ultimate tensile stress of wrought iron is 48 ksi
A. 7.82
B. 6.87
C. 7.45
D. 9.43
A steam turbine rated at 20 hp and 1200 rpm runs a centrifugal pump
compressor at velocity ratio of 3. No. 50 chain is to transmit power,
find the approximate diameter of the driving sprocket. Note: service
factor is 1.3 for engine drive and moderate shock conditions. The
recommended number of teeth for smaller sprocket at 1200 rpm is 21,
and pitch for No.50 chain is 5/8 inch.
A. 3.4
B. 4.2
C. 5.1
D. 1.6
Suppose it is specified that the angular deformation in a steel shaft
should not exceed one degree in a length of 1800 mm. The permissible
shearing stress 83 Mpa. Find the diameter of the shaft. Note: G steel
= 77Gpa.
A. 257.8 mm
B. 111.3 mm
C. 324.5 mm
D. 222.4 mm
What diameter should be the driving pulley have on which a rubber belt
runs so that bending stress in belt is limited to 5 Mpa? Note: the
belt cross section is rectangle 15 mm thick X 110 mm wide and E = 100
Mpa.
A. 15 mm
B. 300 inch
C. 0.15 m
D. 0.30 m
A solid rotating shaft of 50 mm. diameter and 1 m length, has a
central load 3.6 KN and delivers a torque of 340 N-m. Calculate the
maximum shear due to combined load, given that the correction factors
for torque and bending moment are 1.2 and 1.5 respectively.
A. 25.45 Mpa
B. 34.26 Mpa
C. 57.54 Mpa
D. 38.45 Mpa
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If the period of the oscillating body is 2 sec. and the spring

constant is 0.5 N/m. What is the mass of the body
A. 0.0341 kg
B. 0.0541 kg
C. 0.0285 kg
D. 0.0431 kg
A 180 lb man stands at the center of an supported board and causes a
midspan deflection of 1 inch If the flexes his knees slightly in order
to cause a vertical vibration, what is the frequency of the motion?
Assume elastic response of the board and the weight of the board are
negligible
A. 3.3 hz
B. 3.1 hz
C. 3.7 hz
D. 2. 4 hz
A prismatic bar at 10 degree Celsius is constrained in a rigid
concrete wall at both ends. The bar is 1000 mm and has a cross-section
area of 2600 mm square. What is most nearly the axial force in the bar
if the temperature is raised to 40 degree Celsius. Note: Coefficient
of thermal expansion is 9.4 x 10 raised to -6 mm/ C and modulus of
elasticity 200 Gpa.
A. 134 KN
B. 205 KN
C. 147 KN
D. D. 16 KN
A pair of wheels of a trolley carries a load of 67 KN on each axle.
The load is acting at a point 127 mm outside of a wheel base. The
distance between the wheels is 1.4 m Calculate the diameter of the
axle if the stress limit is 69 Mpa.
A. 14.4 cm
B. 12.3 cm
C. 13.5 cm
D. 10.8 cm
Under the sea research vehicle has spherical pressure hull of 1 m in
radius and shell thickness of 30 mm. The pressure hull is steel having
a yield point of 700 Mpa. Determine the depth submergence that would
set-up the yield point stress in the spherical shell. Consider the sea
water to have specific weight of 10.07 kN/cu.m
A. 9.67 Km
B. 4.17 Km
C. 1.45 Km
D. 8.34 Km
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A simple disk clutch has an outside diameter of 12 inches and an

inside diameter of 8 inches. The material of the contact surfaces and
the conditions of operation permit the use of coefficient of friction
and an allowable normal pressure of 0.22 and 20 psi respectively. Find
the power transmitted at 1200 hp.
A. 20 Hp
B. 32 Hp
C. 26 Hp
D. 45 Hp
Calculate the length of a steel bar able to resist the impact of 500lb
weight dropped through a distance of 4 inches and deflects 0.00733 in.
Assume design stress of 22,000 psi.
A. 24 in
B. 14 in
C. 12 in
D. 10 in
A simple disc clutch has elements with outside and inside radius of
250 mm and 100 mm respectively. The axial force is 314.6 lb. If the
coefficient of friction is 0.3. Find the torque capacity based on
uniform wear.
A. 78 N-m
B. 73.5 N-m
C. 67 N-m
D. 70 N-m
A clutch has to transmit 200 N.m of torque. Assuming uniform wear
pressure theory and the ratio of outer and inner radii is 2.5, what
are the radii for a uniform pressure of 2 MPa with the coefficient of
the linear material is being 0.4?
A. 35 mm and 50 mm
B. 20mm and 50 mm
C. 35 mm and 80 mm
D. 20 mm and 80 mm
A clutch has outer and inner diameter 100 mm and 40 mm respectively.
Assuming a uniform pressure of 2 Mpa and coefficient of friction of
liner material is 0.4, the torque carrying capacity of a clutch is
A. 148 Nm
B. 196 Nm
C. 372 Nm
D. 490 Nm
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In a multiple disc clutch 4 disc on the driving shaft and 3 disc on

the driven shaft, then the number of pairs of contact surfaces will be
equal to ______.
A. 6
B. 8
C. 7
D. 9
In case of multiple disc clutch, if n are the number of discs on the
driving shaft and n2 are the number of the discs on the driven shaft,
then the number of pairs of contact surfaces will be.
A. n1-n2
B. n1+n2+1
C. n1+n2-1
D. n1+n2
The inner outer radii of a single plate clutch are 40 mm and 80 mm
respectively. Determine the average pressure (in KN/m2) when the axial
force is 3 KN
A. 14.92
B. 39.79
C. 238.73
D. 19.89
An engine running at 150 rpm drives a line shaft by means of a belt.
The engine pulley is 750 mm diameter and the pulley on the line shaft
being 450 mm. A 900 mm diameter pulley on the line shaft drives a 150
mm diameter pulley keyed to a dynamo shaft. The speed of the dynamo
shaft is ______
A. 1800 rpm
B. 1400 rpm
C. 1500 rpm
D. 1440 rpm
The difference between tensions on the tight and slack sides of a belt
drive is 3000 N. If the belt speed is 15m/s, the power transmitted is
A. 45 Kw
B. 100 Kw
C. 22.5 Kw
D. 90 Kw
When coil spring with a spring scale of 150 lb/in is compressed 1.75
in., the coils are closed. The allowable shearing stress if 75,000 psi
and the spring index is 6, the ends are squared and ground, and G= 12
x 10 (raised to 6) psi. Calculate the whal’s factor
A. 1.259
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B. 1.253
C. 1.184
D. 1.361
A disc clutch with a lining friction coefficient of 0.3, an outside
diameter of 10 inches, and an inside diameter of 6 inches is used to
transmit 5 hp. The shaft rotating at 2000 rpm. Find the axial force
that must be applied for successful transmission of power based on
uniform pressure
A. 110 lb
B. 133 lb
C. 129 lb
D. 154 lb
A square-thread transmission screw used in a jack has a root diameter
of 2 inches and a pitch of 2 in. It is double thread and designed to
lift a load of 10 tons. Find the compressive stress in screw.
A. 50 Mpa
B. 13 Mpa
C. 12 Mpa
D. 44 Mpa
If a driving pulley is 6 inches in diameter and drives a 12-in
diameter pulley, find the speed (no slip condition) of the driven
pulley if the driver rotates at 200 rpm
A. 100 rpm
B. 120 rpm
C. 104 rpm
D. 96 rpm
A bar of wrought iron 2 in. square is raised to a temperature of 100
deg f above its normal. If held so that it cannot expand what force
may opposed it to prevent expansion? Note: E = 30 x 10 ( raised to 6)
psi and thermal expansion coefficient 6.8 x 10 ( raised to -6/deg. F)
A. 807,600 lb
B. 20, 400 lb
C. 363.04 KN
D. 81.6 KN
Calculate the shear stress in MPa induced in a welded lap joint using
two 50 mm long fillet welds each having a leg 8 mm. if the applied
load is 15 KN.
A. 25.16 Mpa
B. 14.73 MPa
C. 23.15 Mpa
D. 26.51 Mpa
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A pair of wheels of a trolley carries a load of 15,000 lbs on each

axle. The load is acting at a point 5 inches outside of a wheel base.
The distance between the wheels is 56 inches. Calculate the diameter
of the axle if the stress limit is 10 ksi.
A. 1.34 in
B. 3.45 in
C. 2.12 in
D. 4.24 in
A 200 lb man stands at the center of an end supported board and causes
a midspan deflection of 38.1 mm. If he flexes his knees slightly in
order to cause a vertical vibration, what is the frequency of the
motion? Assume elastic response of the board and the weight of the
board are negligible.
A. 3.2 hz
B. 1.4 hz
C. 4.3 hz
D. 2.6 hz
Compute the torque in shaft that transmit 10hp at 800 rpm.
A. 4125 ft-lb
B. 65.7 ft-lb
C. 788 ft-lb
D. 688 ft-lb
A man uses a pulley system to raise a 150 lb load to a height of 10
ft. If he exerts a force on a rope of 50 lb through a distance of 35
ft to accomplish the work what is the efficiency of the machine
A. 78%
B. 86%
C. 88%
D. 80%
A circular support column is pinned at each end and subject to axial
compression. The column is wood, with a modulus of elasticity of 11
Gpa, a diameter of 50 cm and length of 3 meters. What is the critical
buckling loadof the column?
A. 1.8 GN
B. 0.15 GN
C. 0.3 GN
D. 0.6 GN
A Circular support column is pinned at each end and subject to axial
compression. The column. The column is wood, with a diameter of 50cm
and modulus of elasticity of 11 Gpa. What is the length of the column
if its crtitical buckling load is given to be 0.15 GN?
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A. 30 cm
B. 3 ft
C. 0.6 m
D. 9.8 ft
A simple disc clutch has an elements with outside and inside radii of
250 mm and 100 mm respectively. The axial force is 1200 N. If the
coefficient of friction is 0.3, find the torque capacity, based on
uniform wear
A. 70 N-m
B. 85 N-m
C. 67 N-m
D. 56 N-m
A 6-in long ½ in diameter 304 stainless steel rod is being reduced in
diameter to 0.480 in by turning in a lathe. The spindle rotates at
N=400rpm, and the tool is travelling at an axial speed of 8 in/min.
Calculate the maximum cutting speed.
A. 603 ft/min
B. 52 ft/ min
C. 50 ft./min
D. 630 ft/min
A no. 50 roller chain operates at 1100 rpm between 16 tooth and 30
tooth sprockets. If the center distance between the sprocket is 20
in., running conditions being normal, calculate the speed ratio. Note
from the table the pitch of No. 50 chain is 5/8 in.
A. 0.53
B. 1.67
C. 1.785
D. 5/8
A body of weight 27 N hangs on a long spring of such stiffness that an
extra force of 9N stretches the spring 0.05 m. If the body is pulled
downward and released, what is the period?
A. 0.65 s
B. 0.35 s
C. 0.48 s
D. 0.78 s
A 2-in line shaft transmit 20 hp and rotates at 200 rpm. Two pulleys
space 30 in apart cause a torsional deflection. If the shear modulus
of elasticity is 12 x 10 (raised to 6)psi, find the angle of twist.
A. 0.765 deg
B. 0.571 deg
C. 0.432 deg
D. 0.346 deg
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Calculate the deflection of a steel bar to resist the impact of 550lb

weight dropped through a distance of 4 inches. The bar is made of
steel and Is 14 inches in length. Assume a design stress of 152 Mpa.
A. 0.0071 in
B. 0.0294 in
C. 0.0103 in
D. 0.054 in
The allowable tensile stress for a 6.25 mm diameter bolt with a thread
length 5.5 mm is 207 Mpa. The allowable shear stress of the material
is 103 Mpa. Compute the allowable shearing load on the thread.
A. 4.35 KN
B. 6.35 KN
C. 2.45 KN
D. 5.56 KN
A multiple disk clutch employs four pairs of contact surfaces, whose
outer diameter is 12 inches and whose inner diameter is 8 inches. If
the coefficient of friction is assumed to be 0.22. Find the axial
pressure if the unit normal pressure is 20 psi
A. 4.5 KN
B. 5.6 KN
C. 10.4 KN
D. 6.4 KN
A Job is 300 mm Long. Half of its length is to be tapered from one
end. The larger diameter of the job is 60 mm and the smaller diameter
is 54 mm. Find the amount of set over of tailstock 10730 psi
A. 8 mm
B. 1.5 mm
C. 3 mm
D. 6 mm
What is the minimum solid shaft diameter that can be used for the
rotor of 4.5 KW motor operating at 3500 rpm, If the maximum shear
stress for the shaft is 60 Mpa.
A. 2.1 in
B. 0.40 in
C. 10 in
D. 1.2 in
A capstan is operated with a double square thread power screw with a
pitch of 1 in. An external force of 60 lbs is required at the end of a
60 in. crank to lift a 3 ton load. What is the efficiency?
A. 53.05%
B. 55.93%
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C. 50.93%
D. 57.05%
A multiple-disc clutch consists of 10 steel disc and 9 bronze disc.
The effective outside and inside diameters are 8 inches and 6 inches
respectively. If an axial force 100 lb is applied and the shaft turns
at 1000 rpm, find the power capacity. Assume the coefficient of
friction of 0.25 and uniform pressure.
A. 19 Kw
B. 10 Kw
C. 25.2 Kw
D. 15 Kw
A cantilever spring with 25 in. effective length and uniform
rectangular cross section, caries a load of 950 lbs at its free end
causing a deflection of 1.75 inch. If the allowable stress for the
material selected is 60,000 psi. Calculate the thickness per strip of
the spring. Note: it is four-strip cantilever spring.
A. 0.52 inch
B. 0.12 inch
C. 0.32 inch
D. 0.23 inch
An aluminum part to be measured with a steel gage when the room
temperature is 30 C. The aluminum part has coefficient of thermal
expansion 24.7 micro mm/mm C and for the steel gage is 10.8 micro
mm/mm C. At the reference temperature the specified length of the
aluminum part is 20.021 mm. What is the length of the part of the
measuring (room) temperature?
A. 20.024 mm
B. 20.021 mm
C. 20.026 mm
D. 20.027 mm
Determine the width of the leaves of a six-leaf cantilever spring 13
inches long to carry a load of 375 lb with a deflection of 1.05 in.
The minimum stress in this spring is limited to 50,000 psi.
A. 1.35 in
B. 1.12 in
C. 1.84 in
D. 1.57 in
A circular support column is pinned at each end and subject to axial
compression. The column is wood, with a diameter of 500 mm and modulus
of elasticity of 11 Gpa. What is the length of the column if its
critical buckling load is given to be 0.15 GN?
A. 9.84 cm
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B. 0.6 m
C. 118 in
D. 3 ft
In Designing a cylindrical pressure tank 1 m in diameter, a factor of
safety of 2.0 is used. The cylinder is made of steel ( Syield= 200
Mpa) and will contain pressure up to 7 Mpa. What is the required wall
thickness based on circumferential stress concentration?
A. 20 mm
B. 44 mm
C. 35 mm
D. 17.5 mm
A plate Clutch with a single friction surface is 10 inches O.D. and 4
inches I.D. If the uniform wear is valid, find the maximum pressure on
the clutch if it will carry an axial force of 5000 lbf.
A. 132.6 psi
B. 112.3 psi
C. 234.5 psi
D. 75.8 psi
A No. 50 roller chain operates at 1100 rpm between 16 tooth and 30
tooth sprockets. If the center distance between the sprockets is 20
in. running conditions being normal, calculate the length of the
roller chain. Note that the pitch of No. 50 roller chain is 5/8 in.
A. 54.5 in
B. 32.5 in
C. 43.6 in
D. 81.14 in
An inclined plane 5 m long has its upper end 1 meter above the ground.
A load of 100 N is pushed up the plane against a force of friction of
5 N. What is the ideal mechanical advantage?
A. 0.8
B. 1.25
C. 4
D. 5
A jackscrew has a lever arm of 40 cm and a pitch of 5 mm. What is the
ideal mechanical advantage (IMA)?
A. 3
B. 5
C. 2
D. 4

How many ¼in. diameter set screws required to transmit 6 hp at a

shaft speed of 1000 rpm and shaft diameter of 1.5 in?
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A. 3
B. 5
C. 2
D. 4
The cutting speed for turning a 101.6 mm diameter bar has been found
to be 166.2 m/min. Calculate the lathe spindle speed
A. 520 rpm
B. 549 rpm
C. 600 rpm
D. 750 rpm
A planer mechanism has 8 links and 10 rotary joints. Using a Gubler’s
criterion, calculate the number of degree of freedom of the mechanism.
A. 1
B. 2
C. 0
D. 3
A crank of radius 15 cm is rotating at 50 rpm with an angular
acceleration of 60 rad/s (squared). The tangential acceleration of the
crank is about _______.
A. 9.85 m/s (squared)
B. 8 m/s (squared)
C. 9 m/s (squared)
D. 10.5 m/s (squared)
A jackscrew has a lever arm of 40 cm and a pitch of 5 mm. If the
efficiency is 30%, what force is required to lift a load of 270 kg?
A. 24.5 N
B. 11.5 N
C. 12.4 N
D. 17.6 N
A cord 3 m long is coiled around the axle of the wheel. The cord is
pulled with a constant force of 40N. When the cord leaves the axle,
the wheel is rotating at 2 rev/s. Determine the moment of inertia of
the wheel and the axle neglecting friction.
A. 1.52
B. 2.58
C. 1.63
D. 1.35
A 4 mm fillet weld 50 mm long carries a steady load P lying along the
weld. If the working stress in shear is taken as 78 Mpa. Calculate the
load it can carry.
A. 18 KN
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B. 11 KN
C. 15 KN
D. 20 KN
A 60 mm long and 6 mm thick fillet weld carries a steady load of 15 KN
along the weld. The shear strength of the weld material is equal to
200 MPa. The factor of Safety is
A. 2.4
B. 3.4
C. 4.8
D. 6.8
The strength of riveted joint would be_________.
A. Sum of crushing resistance, tearing resistance and shearing
resistance
B. Least of the crushing resistance, tearing resistance and shearing
resistance
C. Maximum of crushing resistance, tearing resistance and shearing
resistance
D. Strength of the unriveted solid plate
If the tearing efficiency of riveted 70% then the ratio of diameter to
pitch is
A. 0.20
B. 0.30
C. 0.5
D. 0.70
Two plates 20 mmm thick are lapped over each other and joined by a
single row of rivets at a pitch length of 100 mm. Determine the
bending stress experienced on the rivet if the tensile stress
developed along the pitch section is 40 MPa and the rivet diameter is
25 mm
A. 75 MPa
B. 120 Mpa
C. 60 MPa
D. 90 Mpa
Tearing efficiency of rivet is given by ( P= pitch of rivets, d =
diameter of rivet hole)
A. (2p-d) / p
B. (p-d) / 4p
C. (p-2d) / p
D. (p-d) / p
Consider two plates connected together by means of a single riveted
lap joint and subjected to a tensile force. The tensile resistance of
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unriveted solid plate is 35 KN. If the shear resistance of the rivet,

tensile resistance of the riveted plate, and crushing resistance of
the plate per pitch length are given as 24.5 KN, 28 KN, and 31.5 KN
respectively. The efficiency of this joint will be?
A. 70%
B. 75%
C. 80%
D. 90%
A 250 hp Motor turns a shaft at 2400 rpm. The shafts step down in
diameter from 3.0 to 2.5 inches. Calculate the maximum torsional shear
stress if the stress concentration factor is given to be 1.3
A. 19.2 Mpa
B. 22.5 Mpa
C. 17.3 Mpa
D. 28.00 Mpa
A steel cylindrical pressure vessel is subjected to a pressure of 3.1
Ksi. Its outer diameter is 185 inches and its wall thickness is 8 in.
What is the maximum principal stress in this vessel?
A. 43.5 Ksi
B. 25.7 Ksi
C. 32.7 Ksi
D. 12.5 Ksi
A Beam 2 in wide and 3 inch deep is subjected to 40,000 in-lb bending
moment at each end. Find the value of bending stress.
A. 92 Mpa
B. 32 Mpa
C. 45 Mpa
D. 100 Mpa
The length, width and thickness of a steel sample are 400 mm, 410 mm,
40 mm and 20 mm, respectively. Its thickness needs to be uniformly
reduced by 2 mm in a single pass by using horizontal slab milling. The
milling cutter (diameter: 100 mm, width: 50 mm) has 20 teeth and
rotates at 1200 rpm. The feed per tooth is 0.05 mm. The feed direction
is along the length of the sample. If the over-travel distance is the
same as the approach distance, the approach distance and time taken to
complete the required machining task are
A. 14 mm, 21.4 s
B. 21 mm, 39.4 s
C. 21 mm, 28.9 s
D. 14 mm, 18.4 s
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Which one of the following welding methods provides the highest heat
flux (W/mm2)?
A. Plasma Arc Welding
B. Oxy-acetylene gas welding
C. Tungsten inert gas welding
D. Laser beam welding

A spur gear with 20° full depth teeth is transmitting 20 kW at 200

rad/s. The pitch circle diameter of the gear is 100mm. The magnitude
of the force applied on the gear in the radial direction is
A. 1.39 KN
B. 2.78 KN
C. 0.36 KN
D. 0.73 KN
A solid shaft of diameter d is replaced by a hollow shaft of the same
material and length. The outside diameter of hollow shaft 2d/√3 while
the inside diameter is d/√3 What is the ratio of the torsional
stiffness of the hollow shaft to that of the solid shaft?
A. 2/3
B. 3/5
C. 5/3
D. 2
The outside diameter of a hollow shaft that is twice its inside
diameter the ratio of its torque carrying capacity to that of a solid
shaft of the same material and the same outside diameter is
A. 15/16
B. ¾
C. ½
D. 1/16
The maximum heat in resistance welding is at the
A. Tip of the positive electrode
B. Tip of negative electrode
C. Top surface of the plate at the time of electric contact with the
electrode
D. Interface between the two plates being joined
A 1.5 kW motor is running at 1440 rev/min. It is to be connected to a
stirrer running at 36 rev /min. The gearing arrangement suitable for
this application is
A. Differential Gear
B. Helical Gear
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C. Spur Gear
D. Worm Gear
A square threaded power screw has a major diameter of 32 mm and a
pitch of 4 mm with double threads. The force acting per screw is 6.4
kN. Take f = f c = 0.08 & d c = 40 mm, ‘C’ means collar. Determine the
torque required to raise & lower the load.
A. 15.94 N-m
B. 26.18 N-m
C. 1024 N-m
D. 5.7 N-m
A draft horse walks at the rate of 5 km/hr. What uniform force in KN
must be exert if the output power is exactly two kilowatts?
A. 1.44 KN
B. 3.4 KN
C. 0.720 KN
D. 720 KN

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