Definitions
Definitions
SPM = Strokes per Minute
Definitions
RPM = Strokes
Revolutions
per Minute-Prime Mover
SPM
per Minute
Rod Lift Application Formulas
SPM
Strokes
Minute
FPM == Feet
per per
Minute
RPM
Revolutions
per Minute-Prime Mover
RPM
Revolutions
per Minute-Prime Mover
R
= Gear
Reducer
Ratio
FPM
== Feet
per Minute
FPM
= Feet
per Minute
D = Gear
Sheave Pitch Diameter(inches)
R
Reducer
Ratio
R
Gear Reducer
Ratio
d == Prime
Mover Sheave
D
SheavePitch
PitchDiameter(inches)
Diameter(inches)
D
GearVelocity,
Reducer
Sheave
PitchDiameter(inches)
Diameter(inches)
perPitch
Minute
dv == Belt
Prime
Mover Feet
Sheave
dπ
Prime
Mover Feet
Sheave
Diameter(inches)
(Pi) 3.1416
v = Belt
Velocity,
perPitch
Minute
vπ == Belt
Velocity, Feet per Minute
(Pi) 3.1416
Strokes per πminute
= (Pi) 3.1416
Calculate values using set formulas
DEFINITIONS
■■
spm = strokes per minute
■■
rpm = prime mover revolutions per minute
■■
R = gear reducer ratio
■■
D = gear reducer sheave pitch
diameter (in)
■■
d = prime mover sheave pitch diameter (in)
■■
v = belt velocity (ft/min)
■■
π = (pi) 3.1416
■■
Pl = belt pitch length (in)
■■
CD = shaft center distance (in)
■■
U = see general dimensions
■■
V = see general dimensions
■■
AB = see general dimensions
■■
UU = see general dimensions
■■
VV = see general dimensions
■■
AA = see general dimensions
■■
■■
■■
b = prime mover backing (vertical
distance from mounting feet to center
of shaft) (in)
hp = horsepower
bbl/d = barrels per day at 100%
pump efficiency
■■
Depth = pump setting (ft)
■■
L = stroke length (in)
Pl = Belt Pitch Length (inches)
CD==Belt
Shaft
Center
Distance
(inches)
Pl
Pitch
Length
(inches)
Pl
Belt
Pitch
Length
(inches)
U ===see
General
Dimensions
CD
Shaft
Center
Distance
(inches)
CD
Shaft
Center
Distance (inches)
V
General
Dimensions
U = =see
U
AB= =see
seeGeneral
GeneralDimensions
Dimensions
V
V
UU= =see
AB
seeGeneral
GeneralDimensions
Dimensions
AB
VV == see General Dimensions
UU
UU
AA
VV == see General Dimensions
VV
AA == see General Dimensions
AA = see General Dimensions
Strokes Per Minute
Strokes Per Minute
Formula
Example
Strokes Per Minute
Formula
Example1,170
d
12
rpm
×
spm
=
SPM =
×
= 9.9
Formula
Example
rpm
d
1,170
12
R × D
30.12 × 47
spm = rpm
SPM
=
d
1,170
12 = 9.9
spm = R × D
SPM = 30.12 × 47 = 9.9
where
47
Rspm = 1,170
D rpm of prime mover 30.12
where
where
spm
1,170 ratio
rpm of
prime
mover
R == 30.12
(320D
gear
reducer)
spm
1,170 pitch
rpm of
prime
mover
R
ratio
(320D
gear
d == 30.12
12-in
diameter
ofreducer)
prime mover sheave
R
ratio (320D
gearofreducer)
d == 30.12
12-in
diameter
prime
mover sheave
D
47-in pitch
gear reducer
sheave
d == 12-in
mover sheave
D
47-in pitch
pitch diameter
diameter of
of prime
gear reducer
sheave
Prime
Mover
Sheave
Diameter
D
=
47-in
pitch
diameter
of
gear
reducer
sheave
Prime mover sheave diameter
Prime
FormulaMover Sheave Diameter
Example
Prime
Mover Sheave Diameter
Formula
Example
spm × R × D
12 × 30.12 × 47
dFormula
=
d=
= 14.5 in
Example
spm × R × D
d = spmrpm
×R×D
rpm
d=
where rpm
spm = 12
where
where
12 × 30.12 × 47
d = 12 × 1,170
= 14.5 in
30.12
1,170 × 47 = 14.5 in
d=
1,170
spm
12 ratio (320D gear reducer)
R == 30.12
spm
=
12 ratio
R
=
30.12
gearofreducer)
D 47-in
pitch (320D
diameter
gear reducer sheave
R
=
30.12
ratio
(320D
gear
D = 1,170
47-in rpm
pitchofdiameter
ofreducer)
gear reducer sheave
rpm
prime
mover
D == 1,170
47-in rpm
pitchofdiameter
of gear reducer sheave
rpm
prime
mover
Use the nearest
size available
depending
upon belt section and
rpm = 1,170
rpm of prime mover
number
of grooves
sheave.
Use
the nearest
sizeinavailable
depending upon belt section and
number
of grooves
sheave. depending upon belt section and
Use
the nearest
sizeinavailable
number
of grooves in sheave.
Belt Velocity
Velocity
Formula
Example
Belt velocity Belt
Belt
Velocity
Formula
Example
π × d × rpm
3.1416 × 14.5 × 1,170
vFormula
=
v=
= 4,441 ft/min
Example
π × d12× rpm
3.1416 × 14.5
12 × 1,170 = 4,441 ft/min
v = π × d × rpm
v = 3.1416 × 14.5
12
12 × 1,170 = 4,441 ft/min
v=
v=
Where: 12 d = 14.5-in pitch diameter
12
Where: rpmd == 1,170
14.5-in
pitch
diameter
rpm
of prime
mover
Where:
d
=
14.5-in
pitch
diameter
rpm2,000
= 1,170
of prime
mover
Limit between
andrpm
5,000
feet
per
minute (ft/min).
rpm
= 1,170
rpm
offt/min
prime
mover
Limit
between
2,000
and
5,000
feet results
per
minute
(ft/min).
Belt velocity
less
than
2,000
in poor
belt life. Belt velocity
Limit
between
2,000
and
5,000
feetdynamically
per minute
(ft/min).
Belt
velocity
than
2,000
ft/min
results
in poor
belt life.sheaves.
Belt velocity
greater
than less
5,000
ft/min
requires
balanced
Belt
velocity
2,000
ft/mindynamically
results in poor
belt life.sheaves.
Belt velocity
greater
than less
5,000than
ft/min
requires
balanced
greater
than
5,000
ft/min
requires
dynamically
balanced
sheaves.
Belt Length
Belt Length
Belt length Formula
Belt
Length
(D–d) 2
Formula
PL
= 2CD + 1.57(D + d) =
2
Formula
(D–d)
× CD2
PL = 2CD + 1.57(D + d) = 4(D–d)
Example
PL
= 2CD + 1.57(D + d) = 4 × CD
Example
4 × CD (47–14.5)2
PL
= 2 × 66.21 + 1.57(47 + 14.5) =
2 = 232.96 in
Example
(47–14.5)
4 × 66.212 = 232.96 in
PL = 2 × 66.21 + 1.57(47 + 14.5) = (47–14.5)
66.21
PL = 2 × 66.21
+ 1.57(47
+ 14.5)
= 4 × of
= 232.96 in
Where:
CD = 66.21-in
center
distance
shafts
4
×
66.21
Where: CD = 66.21-in center distance of shafts
D = 47-in pitch diameter of gear reducer sheave
CD
66.21-in
center
distance
of
shafts
Dd == 47-in
diameter
ofofgear
reducer
14.5-inpitch
pitch
diameter
prime
moversheave
sheave
Dd == 47-in
pitch
diameter
of
gear
reducer
14.5-in pitch diameter of prime
moversheave
sheave
d = 14.5-in
pitch
diameter
of prime on
mover
Use the nearest
belt size
available
depending
typesheave
of sheave
Where:
Use
the nearest belt size available depending on type of sheave
selected.
Use
the nearest belt size available depending on type of sheave
selected.
selected.
Center Distance
Center Distance
Formulas
Center Distance
Formulas
V 2
CD
= U+ 2 + (AB – b
Formulas
V
CD = U+ V2 2 + (AB – b
2 +electric
Hi-prime
Example:
CD = U+
(AB –mo
b
2 electric mo
Example: Hi-prime
2
33.25
Hi-prime
electric mo
Example:
CD = 31+
2+ (54
33.25
2 2+ (54
CD = 31+ 33.25
2 + (54
CD
= 31+
where
UU =231 (see
ge
where
where
(( ))
( )
(( ))
( )
UU == 33.25
31 (see
ge
VV
(see
UU === 33.25
31 (see
(see
ge
VV
(see
AA
54
ge
VV
=
33.25
(see
AAb = 54
(see ge
8 (assume
AAb == 54
(see ge
8 (assume
b =of
8 (assume
Horsepower
Prime M
Horsepower
of Prime M
Formula A
Horsepower
of Prime M
Formula A
BPD × Depth
Formula
HP
= A
BPD × Depth
HP = BPD56,000
× Depth
56,000
Example:
High-slip (NEMA D) m
HP =
56,000
Example: High-slip (NEMA D) m
217High-slip
× 5,600
Example:
(NEMA
D) m
HP =
= 21.
21756,000
× 5,600
HP = 217 × 5,600 = 21.
56,000
HP =
= 21.
Where: 56,000
bbl/d = 217 @ 1
Where: Depth
bbl/d = 217
5,600@ft,1
Where:
bbl/d
== 217
5,600@(NE
ft,1
For high-slip
Formula A:Depth
Depth
=
5,600
ft,e
(NE
Formula A:
B: For high-slip
normal slip
(NEe
Formula
Formula A:
B: For
For high-slip
normal slip
Formula
B:
For
normal
slip
Multiply HP by 0.8 for Mark Ie
Multiply HP by 0.8 for Mark I
Multiply
HP byStrokes
0.8 for Mark
Maximum
perI
Maximum Strokes per
Formulas
Maximum
Formulas
ConventionalStrokes
units per
Formulas
Conventional units
Conventional
units
For a C-320D-256-100
Example:
Example: For a C-320D-256-100
60,000
Example:
spm
= 0.7For a C-320D-256-100
sp
60,000
L
sp
60,000
L
sp
L
60,000
SPM = 0.7
= 17.
60,000
100 = 17.
SPM = 0.7 60,000
SPM = 0.7 100 = 17.
100
spm = 0.7
spm = 0.7
SPM = Strokes per Minute
SPM
= Strokes per
SPM
per Minute
Minute
RPM == Strokes
Revolutions
per Minute-Prime Mover
RPM
=
Revolutions
per
RPM
=
Revolutions
per Minute-Prime
Minute-Prime Mover
Mover
FPM = Feet per Minute
FPM == Feet
Feet per
per Minute
Minute
FPM
R = Gear Reducer Ratio
R == Gear
Gear Reducer Ratio
Ratio
R
D = Gear Reducer
Reducer Sheave Pitch Diameter(inches)
D
== Gear
Reducer
Sheave
Pitch
Diameter(inches)
D
Gear
Reducer
SheavePitch
PitchDiameter(inches)
Diameter(inches)
d = Prime Mover Sheave
dd == Prime
Mover
Sheave
Pitch
Diameter(inches)
Prime
Mover
Sheave
Pitch
Diameter(inches)
v = Belt Velocity, Feet per Minute
Belt Velocity,
Velocity, Feet per Minute
vvπ === Belt
(Pi) 3.1416 Feet per Minute
π == (Pi)
(Pi) 3.1416
3.1416
π
b - Prime Mover Backing (verticle
bb -- Prime
Mover
Backing (verticle
Prime
Mover
(verticle
distance
fromBacking
mounting
feet to
distance
from
mounting
feet to
distance
from
mounting
center of shaft) (inches) feet to
center of
of shaft)
shaft) (inches)
(inches)
center
HP = Horse Power
HP == Horse
Horse Power
Power
HP
BPD = Barrels
per Day at
BPD
== Barrels
per Day
BPD100%
Barrels
Day at
at
Pumpper
Efficienrcy
100%
Pump
Efficienrcy
100%
Pump
Efficienrcy
Depth = Pump Setting (feet)
Depth == Pump
Pump Setting
Setting (feet)
(feet)
Depth
L = Stroke Length
(inches)
Stroke Length
Length (inches)
(inches)
LL == Stroke
Pl = Belt Pitch Length (inches)
Pl
= Belt Pitch
Length
(inches)
Pl
Pitch
Length
(inches)
CD==Belt
Shaft
Center
Distance
(inches)
CD
=
Shaft
Center
Distance
(inches)
CD
=
Shaft
Center
Distance
U = see General Dimensions(inches)
U == see
see General
General Dimensions
Dimensions
U
V = see General Dimensions
V == see
see General Dimensions
Dimensions
V
AB = seeGeneral
General Dimensions
AB
== see
General
Dimensions
AB
see
General
UU = see General Dimensions
Dimensions
UU
=
see
General
Dimensions
UU
see General
General Dimensions
Dimensions
VV == see
VV =
= see
see General
General Dimensions
Dimensions
VV
AA = see General Dimensions
AA == see
see General
General Dimensions
Dimensions
AA
Rod Lift Application Formulas
DEFINITIONS
Strokes■Per
Minute
■ spm
= strokes per minute
Strokes
Minute
Strokes Per
Per
Minute
Formula
Example
Formula ■■ rpm = prime mover revolutions
Example
Formula
Example
per minute
rpm
d
spm = rpm
SPM =
R = ×geard
rpm
dreducer ratio
spm
SPM ==
spm == R ×× D
SPM
RD = gearD
Dreducer sheave pitch
■■ R
■■
where
where
where
■■
■■
■■
Center distance
Center Distance
Center
Center Distance
Distance
Formulas
1,170
12
1,170
1,170 ×× 12
12 = 9.9
9.9
30.12 × 47 == 9.9
30.12
47
30.12
47
diameter
(in)rpm of prime mover
spm
= 1,170
spm
spm == 1,170
1,170 rpm
rpm of
of prime
prime mover
mover
= 30.12mover
ratio sheave
(320D gear
d =R
prime
pitchreducer)
diameter (in)
R
=
30.12
ratio
(320D
R = 30.12 ratio (320D gear
gear reducer)
reducer)
d
=
12-in
pitch
diameter
of
prime
mover sheave
v =ddbelt
velocity
== 12-in
pitch
diameter
12-in
pitch(ft/min)
diameter of
of prime
prime mover
mover sheave
sheave
D = 47-in pitch diameter of gear reducer sheave
D
=
47-in
pitch
diameter
of
gear
reducer
π =D (pi)
3.1416
= 47-in
pitch diameter of gear reducer sheave
sheave
Prime Mover
Pl = Sheave
belt pitchDiameter
length (in)
Prime Mover
Mover
Sheave
Diameter
Prime
Sheave
Diameter
Formulas
Formulas
CD =
CD ==
CD
(( ))
(( ))
V 222
U+ V
+ (AB – b) 222
U+ V2 ++ (AB
b)
U+
(AB –– b)
22
CD =
CD ==
CD
((
))
VV 222
UU+VV
+ (AA – b) 222
UU+VV
b)
UU+
(AA –– b)
2 ++ (AA
22
Example: Hi-prime electric motor driven C-320D-256-100 conventional unit
Example:
Hi-prime electric
electric motor
motor driven
driven C-320D-256-100
C-320D-256-100 conventional
conventional unit
unit
Example: Hi-prime
CD =
CD
CD ==
where
where
where
■■
Formula ■■ CD = shaft center distance
Example
(in)
Formula
Example
Formula
Example
33.25 222
2
31+ 33.25
2 = 66.21 inches
33.25 + (54 –– 8)
31+
31+ 2 ++ (54
(54 – 8)
8)2 == 66.21
66.21 inches
inches
22
UU = 31 (see general dimensions)
UU
UU == 31
31 (see
(see general
general dimensions)
dimensions)
VV = 33.25 (see general dimensions)
VV
=
33.25
(see
VV = 33.25 (see general
general dimensions)
dimensions)
AA = 54 (see general dimensions)
AA
AA == 54
54 (see
(see general
general dimensions)
dimensions)
b = 8 (assume 25 hp, Frame 324T, motor)
bb == 88 (assume
(assume 25
25 hp,
hp, Frame
Frame 324T,
324T, motor)
motor)
spm■■ ×UR=×see
D general dimensions12 × 30.12 × 47
R ×× D
D
12 × 30.12 ×× 47
47 = 14.5 in
d = spm
d = 12
spm ×× R
d
=
dd == × 30.12
== 14.5
d=
14.5 in
in
1,170
■rpm
■ V = see general dimensions
HorsepowerHorsepower
of prime mover
(approximate)
rpm
1,170
of Prime
Mover (these values are approximate)
rpm
1,170
Horsepower of
of Prime
Prime Mover
Mover (these
(these values
values are
are approximate)
approximate)
Horsepower
■■
AB ==see
spm
12 general dimensions
spm
spm == 12
12
■■ UUR== see
30.12
ratio (320D
gear reducer)
general
dimensions
R == 30.12
30.12 ratio
ratio (320D
(320D gear
gear reducer)
reducer)
R
D
=
47-in
pitch
diameter
of gear reducer sheave
■■ VV = see general dimensions
D == 47-in
47-in pitch
pitch diameter
diameter of
of gear
gear reducer
reducer sheave
sheave
D
rpm = 1,170 rpm of prime mover
■■ rpm
AA ===see
general
1,170
rpm of
ofdimensions
prime mover
mover
rpm
1,170
rpm
prime
Use the nearest
size available depending upon belt section and
■■ b = prime
Use the
the nearest
size available
available
depending
upon belt section and
mover backing
(vertical
Use
size
number nearest
of grooves
in sheave. depending upon belt section and
number
sheave.
number of
of grooves
grooves
infrom
sheave.
distancein
mounting feet to center
where
where
where
of shaft) (in)
Belt Velocity
Belt Velocity
Velocity
Belt
■■
hp = horsepower Example
Example
Example
at 100%× 14.5 × 1,170
π ×■d■ bbl/d
× rpm= barrels per day 3.1416
π ×× dd pump
× rpm
rpmefficiency v = 3.1416
3.1416 ×× 14.5
14.5 ×× 1,170
1,170 = 4,441 ft/min
v= π
×
vv ==
v
=
== 4,441
v=
4,441 ft/min
ft/min
12
12
12
12
12
12
■■ Depth = pump setting (ft)
Formula
Formula
Formula
Where:
Where:
Where:
d = 14.5-in pitch diameter
L =ddstroke
length
(in)diameter
14.5-in
pitch
diameter
== 14.5-in
pitch
rpm = 1,170 rpm of prime mover
rpm == 1,170
1,170 rpm
rpm of
of prime
prime mover
mover
rpm
Limit between 2,000 and 5,000 feet per minute (ft/min).
Limit between
between 2,000
2,000 and
and 5,000
5,000 feet
feet per
per minute
minute (ft/min).
(ft/min).
Limit
Maximum
Belt velocity less than 2,000 ft/min results in poor belt life. Belt
velocity
Belt
velocity
less
than
2,000
ft/min
results
in
poor
Belt velocity less than 2,000 ft/min results in poor belt
belt life.
life. Belt
Belt velocity
velocity
greater than 5,000 ft/min requires dynamically balanced sheaves.
greater
greater than
than 5,000
5,000 ft/min
ft/min requires
requires dynamically
dynamically balanced
balanced sheaves.
sheaves.
■■
Belt Length
Belt
Belt Length
Length
Formula
Formula
Formula
Formula A
Formula A
A
Formula
Formula B
Formula B
B
Formula
BPD × Depth
HP = BPD
BPD ×× Depth
Depth
HP
=
HP =
56,000
56,000
56,000
Example: High-slip (NEMA D) motor
Example:
Example: High-slip
High-slip (NEMA
(NEMA D)
D) motor
motor
217 × 5,600
217 ×× 5,600
5,600 = 21.7
HP = 217
HP
=
== 21.7
HP =
21.7
56,000
56,000
56,000
BPD × Depth
HP = BPD
BPD ×× Depth
Depth
HP
=
HP =
45,000
45,000
45,000
(Use 25 HP motor)
(Use
(Use 25
25 HP
HP motor)
motor)
Where:
Where:
Where:
bbl/d = 217 @ 100% pump efficiency
bbl/d
bbl/d == 217
217 @
@ 100%
100% pump
pump efficiency
efficiency
Depth = 5,600 ft, pump setting
Depth
=
5,600
ft,
pump
Depth = 5,600 ft, pump setting
setting
Formula A: For high-slip (NEMA D) electric motors and slow-speed engines
Formula
For high-slip
high-slip (NEMA
(NEMA D)
D) electric
electric motors
motors and
and slow-speed
slow-speed engines
engines
Formula A:
A: For
Formula B: For normal slip electric motors and multicylinder engines
Formula
B:
For
normal
slip
electric
motors
and
multicylinder
Formula B: For normal slip electric motors and multicylinder engines
engines
Multiply HP by 0.8 for Mark II units.
Multiply HP
HP by
by 0.8
0.8 for
for Mark
Mark II
II units.
units.
Multiply
Maximum
per Minute
(based
the free
fall speed
of therod)
rod)
strokes
per Strokes
minute (based
on the
freeonfall
speed
of the
Maximum
Maximum Strokes
Strokes per
per Minute
Minute (based
(based on
on the
the free
free fall
fall speed
speed of
of the
the rod)
rod)
Formulas
Formulas
Formulas
Conventional units
Conventional
Conventional units
units
Air-balanced units
Air-balanced
Air-balanced units
units
Example: For a C-320D-256-100 conventional unit.
For aa C-320D-256-100
C-320D-256-100 conventional
conventional unit.
unit.
Example: For
Example:
(D–d)
PL = 2CD + 1.57(D + d) = (D–d)
PL == 2CD
2CD ++ 1.57(D
1.57(D ++ d)
d) == 4(D–d)
PL
× CD
CD
44 ×× CD
Example
spm = 0.7
spm
spm == 0.7
0.7
Where:
Where:
Where:
60,000
SPM = 0.7 60,000
maximum
60,000 = 17.15 spm
SPM
=
0.7
SPM = 0.7 100 == 17.15
17.15 spm
spm maximum
maximum
100
100
2
22
Example
Example
(47–14.5)222
PL = 2 × 66.21 + 1.57(47 + 14.5) = (47–14.5)
(47–14.5) = 232.96 in
PL
=
2
×
66.21
+
1.57(47
+
14.5)
=
PL = 2 × 66.21 + 1.57(47 + 14.5) = 4 × 66.21 == 232.96
232.96 in
in
44 ×× 66.21
66.21
CD = 66.21-in center distance of shafts
CD == 66.21-in
66.21-in center
center distance
distance of
of shafts
shafts
CD
D = 47-in pitch diameter of gear reducer sheave
D == 47-in
47-in pitch
pitch diameter
diameter of
of gear
gear reducer
reducer sheave
sheave
D
d = 14.5-in pitch diameter of prime mover sheave
dd == 14.5-in
pitch
diameter
of
prime
mover
14.5-in pitch diameter of prime mover sheave
sheave
Mark II units
Mark
Mark II
II units
units
60,000
60,000
60,000
L
LL
spm = 0.63
spm == 0.63
0.63
spm
60,000
60,000
60,000
L
LL
spm = 0.56
spm == 0.56
0.56
spm
60,000
60,000
60,000
L
LL
Use the nearest belt size available depending on type of sheave
Use
Use the
the nearest
nearest belt
belt size
size available
available depending
depending on
on type
type of
of sheave
sheave
selected.
selected.
selected.
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