MECH 325 2014W Midterm answers
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School
University of British Columbia *
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Course
325
Subject
Mechanical Engineering
Date
Oct 30, 2023
Type
Pages
14
Uploaded by ColonelHyenaMaster902
V,lL
A*g
wsPs
MECH
325
r
Midterm
Book
1
Part
I
MC
Mark
/14
PartlSAMark_/16
Part
2
LA
Mark
130
Total
I
60
lnstructions
There
are
two parts to this
exam
with
different
instructions
for
each.
Please
read
carefully.
Part
1-
Closed-Book
(30
marks)
Multiple
choice
(14
marks:
1
marks
per
question).
Complete
all
14
questions
by
marking
your
response
in
pencil
in
the computer
score
card.
Write your
name and student
number on the
computer
card
and
mark
your
student number
in
the
"ID
Field".
Short
answer
(16
marks:
2
or
4
marks per
question).
Complete
all 6
questions
by
marking
your
response
in this
exam
booklet.
After
you
have completed
Part
l,
hand
in
your booklet
and
Scantron scorecard and
you
will
receive
a
handout
for
Part
2
and
a separate
exam
booklet
for
your answers.
You
may not
return
to
Part
1
after you
hand
it
in.
ParT 2
-
Open-Book
(30 marks)
Long
answer (30
marks):
Complete all
parts
to
the questions
for
Parl2by
marking your
responses
in
the
separate
exam
booklet.
This portion
ofthe
exam is open-book
and open-notes.
Only
non-programmable calculators may
be used (or programmable
calculators
with
purged memories).
Page
1
Tuesday, October
2I,
2014
Name:
Student Number:
Circle
your
section
Section
101:
TlA
(11:00am
tutorial)
TlB
(3:30pm
tutorial)
Section
102:
T1C (2:00pm
tutorial)
T1D
(5:00pm
tutorial)
Signature:
Part 1A:
Multiple
Choice
Answer
all
14
questions.
Each
is
worth
I
mark.
Choose
the
single
best response
-
a
given
question may
have more than
one
choice
that
is correct but marks
will
only
be
given for
the besl
answer.
1.
Which
of
the following
types
of
gears
is
appropriate
for
high-efficiency, smooth
(low-noise)
transmission of motion
between
parallel
shafts
with minimal
axial loading
on
either
shaft?
a)
Bevel
b)
Spur
c)
Worm
r'
d)
Herringbone
e)
Helical
2.
A
spur
gear has 40 teeth,
a
14o
pressure angle,
and
a pitch
diameter
of
2.0
in.
What
is
the
diametral pitch
of the
gear?
a)
0.05
b)
1.42
c)
2.86
d)
7.0
-r'
e)
20.0
f
'
:
I
#
"l
'''
3.
The
worm
gear shown
has
a
1"
pitch
diameter
and
has
two
threads.
The
gear
has
an
8"
pitch
diameter
and
96
teeth.
If
the
worm
turns
24 revolutions
in
the direction
indicated,
how
far
does
the
gear
turn?
a)
4
rotations clockwise
b)
I
rotation clockwise
c)
1/z
rotation clockwise
N.-
,
I
t,
-
,1
.
-'.r:lir..l-;
'le-o-'Id
d)
1
rotation counter-clockwise
e)
4
rotations
counter-clockwise
..
,1
t,
4.
In
the
worm
from
Question
3,
the bearing at
A
is
the locating
bearing.
What direction
are the
forces
from
the
worm
shaft onto bearing A?
a)
-x
+y
-z
b)
+x
-y
+z
c)
+x
-y
-z
d) -x
-y
+z
e) -x
-y
-z
5.
A
spur
gearset has
an
input
gear
with
15
teeth and an
output
gear
with
60
teeth.
If
4
N'm
of
torque
is supplied
to
the
input
gear
at
50
rad/sec,
approximately how much power is
delivered
by the
output
gear
to
the load?
a)
16W
b)
60w
c)
75W
J
d)
200w
e)
800 W
.,I
't_*
(z
out
of
page)
Page 2
7.
6,
For the planetary
gear
train
shown, the sun gear
rotates
at
2000
rpm
clockwise
and
the arm is
fixed.
How
fast
does
the
ring
gear
rotate
and
in which direction?
a)
4,000
rev/min (clockwise)
b)
2,500
rev/min (clockwise)
c)
300
rev/min
(counter-clockwise)
-
-
1
-1
d)
300
rev/min (clockwise)
e)
2,500
rev/min (counter-clockwise)
Comparing
a
square vs. an
ACME
power
screw,
which
of
the
following
is
true
regarding the
use
of
a
split-nut:
a)
A
split
nut reduces
friction
on both types
of
power
screw
b)
A
split
nut
allows for
backlash adjustment on
an
ACME
power screw
c)
A
split
nut allows for
backlash adjustment on
a
square
power
screw
d)
A
split
nut
is required when using
a
bushing
for
a
friction
collar
on both types
of power
screw
e)
A
split nut
is required when
an
ACME
power screw is non-reversing
Which of
the
following
components
of belt
tension present
in
V-Belts
but
normally
ignored
in
flat
belts
that
is
the main consideration
when
calculating belt life?
a)
Initial
tension (F;)
'/
b)
Bending
tension
(F6)
c)
Centrifugal tension
(F")
d)
Tight-side tension
(F1)
e)
Slack-side tension
(F2)
A
V-belt drive
has
a driving
pulley operating
at
200
rpm,
a
drivetrain
value
of
e
:
0.25,
a
nominal power
of
Hoo-
:
.75
hp,
a service
factor
of K.
:
2.5,
and
a
design
factor
of
n6
:
1.5.
TWO
belts
are
to
be
used
in parallel.
The
following
belts are
available
in
the
catalogue.
Which
is
the smallest
belt
that
will
satisfy the design requirements?
a)
Allowable
power
H,:0.7
hp
b)
Allowablepowerll":f.f
f',p
ll.,
"
...
).-.rh,:.
,,'r..
c)
Allowable
power
H"
:
1.5
hp
'
d)
Allowable
power
H,:2.9
hp
e)
Allowable
power
H":
5.7
hp
10.
A
timing belt
has
a driving
pulley
with
pitch
diameter
of
20 cm and
50 teeth,
and
a
driven
putley
with
100
teeth.
The
wrap
angle
is
1300.
During
operation,
the
tight
side
tension
is
130
N,
slack
side
tension is
40
N,
and
the
driving
pulley
rotation
rate
is
120
rad/sec.
What
is
the
torque
transmitted from
the
motor
shaft
to the
driving
pulley?
9.
a)
6.0
N'm
v b)
9.0
N'm
c)
60.0
N'm
d)
100.0
N'm
e)
600
N'm
Page
3
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11.
Which of
the
following
design
or
operating parameters should
be increased
in
order to
be
able
to
reduce
the
required
bushing length of
a
boundary-lubricated
bearing
in
service?
(assume
all
other parameters remain fixed)
a)
Operating rotation
speed,
N
b)
Applied
force,
F
c)
Coefficient
of
friction,/
'/
d)
(PV) rating of
the bushing
e)
Wear
factor,
K
12.
A tapered-roller
bearing
is
best
suited
for:
a)
Only
large
radial
loads
b)
Only
large
axial
loads
c)
Small radial
loads, plus large
axial
loads
in
both directions
v,
d)
Large
radial
loads, plus large
axial
loads
in both
directions
e)
Large
radial
loads, plus large
axial
loads
in
one
direction only
13.
Which
of
the following
statements
is
true
for
the
Soderberg,
Gerber, Modified
Goodman
and
ASME-elliptic
fatigue
failure criteria:
a)
All
criteria predict fatigue failure
will
occur before
yielding
b)
Only
the
Modified
Goodman
criterion
is
valid for
tensile
stresses
c)
The
zone
to
the
left of
each
of
the
fatigue criteria
lines
represents
the design domain where
n
<
1
\r' d)
When
ou:0,
the safety
factor
n
>
I
when
o*<
Sy
for all
criteria
e)
When
o.
=
0,
the safety
factor
n
:
1
when
ou
:
0.5
*
S.
for all
criteria
[4.
A
motor
drives
a
gearbox
input
shaft
(top
shaft
in
figure
to
right)
at
1200
rpm.
The
gearbox
uses
a
worm
gear
to drive
a
constant
torque
load attached
to
the
output
shaft
via
a
flexible
coupling.
In
addition
to
torsional
shear
and direct
shear
due
to
the
worm
gearset,
the output
shaft
is
subject
to
stresses
best
characterized by:
a)
steady
bending
stress
plus
alternating axial
StreSS
steady
bending
stress
plus
steady
axial
stress
zero
midrange
stress and
steady
axial
stress
partially
but not
fully-reversed
bending
stress
only
e)
alternating bending
stress
in
the
z-axis only,
plus
alternating axial
stress
b)
v/
c)
d)
ll
lt
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4
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Paft
1B
-
Short-Answer
Questions
(16
marks)
Answer
all
7
questions
in
the
spaces
provided.
Each
question
is
worth
2
-
4
marks,
15. The
larger
helical
gear
shown
has
a
normal
pressure angle
of
20o,
a
helix
angle
ry
of
30o,
N
=
35 teeth, and a
pitch
diameter
of
5".
What
is
the
normal pitch
in
inches?
Show
your
calculations.
(2
marks)
lL:-
:
Tl"
I
b
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.,
fi
.t,,-
f
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irl
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ao
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fl,3flf
rl
16.
Based
on
the shaft
loading
shown
in
the
top
diagram,
complete
the
diagrams
for
axial
force,
shear
force,
bending moment
and
torsion.
Notes:
The
moments
shown are
oriented
along the
x-axis,
You do
not
need
to
r
indicste values
in your t'
diagrams,
but
they
must
follow
the
usual
sign
convention.
(4
marks)
!-T*
,$
r)
.Y
T
g;&..
o
t?l1.
v
r
i
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i
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==
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i
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Page
5
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17. Given
that
the
total
raising
torque,
Tr,
for
an
ACME
power
screw
is
given
by the
sum
of
the
raising torque at
the
threads
(Ir)
and
collar
friction
torque (16):
T,
-T^*Tc
=
- flseca
What
is the
efficie\cy,
e,
which
is
defined
as
the
ratio
of the
total
raising
torque
when
friction
has been
eliminated
divided
by the
total
raising
torque?
Simplify
the
expression,
and
leave
the
denominator
as
Ir.
(2
marks)
18.
The shaft
shown has
a pair of
tapered
roller
bearings,
a
helical gear,
a
spur
gear,
and
a
cylindrical roller bearing.
Power
is transmitted to
the
large
helical gear
via
a
smaller pinion
gear
and runs
in
one
direction
only,
with
smooth
torque
delivery.
Assuming
proper
shaft
accessories,
what
are the
TWO
most
significant
changes
you would
suggest
to this
design
and
why?
(2
marks)
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v
cll
19.
The diagram
shown below
is the
tension
profile
for
a
flat
belt.
On
this
diagram,
sketch the
tension
profile
for
a
V-belt
belt that
is
transmitting
the
same
torque,
but
otherwise
has
the
same
linear
speed,
initial
tension,
pulley
diameters, and
belt weight per
unit length.
(2
marks)
I
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20.
A) For
synchronous power transmission
with
a
flexible
element,
what
is
the
princip
al
operating
difference
between
roller
chains and
timing
belts?
Exclude materials
and secondary
effelts
sucf,
as
lubrication,
dirt,
and
marimum
capacity.
(1
mark)
B)
What
is the simplest
way to minimize this difference?
(1
mark)
t.
A:
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