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Page 1: Engineering Data - virtus.co.th

ED-1

Engineering Data

Page 2: Engineering Data - virtus.co.th

ii

Glossary of TermsAngular Misalignment - A measure of the angle between two shafts. Theangle of error between two shafts is the amount of angular misalignment.

Axial Misalignment - A change in the gap between the shaft ends fromtheir position when the coupling was installed. Also called end float.

Backlash - The amount of free movement between two rotating mating parts.If one half of an elastomeric coupling or universal joint is held rigid, the otherhalf can be turned a slight amount. The freedom of movement, or looseness,is the backlash and may be expressed in degrees, or in thousandths of aninch. Backlash is not the same as stiffness or windup.

Donut - The elastomeric element in Centaflex and Saga couplings.

Drop out - The spacer coupling is often referred to as a dropout coupling.The dropout section is the portion that fits between the coupling hubsand is approximately equal in length to the space between shaft ends.It can be removed or “dropped-out” without disturbing the driving ordriven equipment.

Elastomer - Resilient materials through which the power is transmitted.They are in some way attached or mated to the coupling halves. They areusually made of rubber, synthetic rubber, or plastic materials.

Flex Links - Metallic, flexible members of “all metal” couplings such asDeltaflex which take the place of elastomeric elements. Power is transmittedthrough these metallic members and they provide for angular, and some-times parallel, misalignment.

Inserts - The elastomeric flexing element of the coupling. An insert maybe referred to as a spider, load cushion, sleeve, donut or elastomerdepending on the function or history of the product line.

Load Cushion - Rectangular blocks made of synthetic rubber and certainplastics, which are the elastomeric element in type ‘C’ and ‘H’Jaw couplings.

Open Center - A type of spider with a hole in the middle that allows theshafts of the driver and driven to be positioned within a short distance.

Parallel Misalignment - A measure of the offset between two shafts.Catalog information shows the angular and parallel misalignment tolerablein each coupling group. Both extremes should not exist if the alignmentis within the bounds stated.

RSB - Rough Stock Bore, also called pre-bore.

Runout - A measure of the amount that a cylindrical body is off its truecenter. When a coupling half is rotated on its shaft, the outside diameter ofthe coupling may be slightly “off to one side”. A dial indicator, whichmeasures movement in thousandths of an inch, is used to measure runout.Runout or eccentricity is expressed as Total Indicator Reading (TIR).

Sleeve - The elastomeric element in VIRTUS ES type couplings. Thisterm is also used to describe the flexible element which contains the internalteeth on a Gear coupling. This type of sleeve is either continuous or flanged.

Spacer - The portion of a flexible coupling or U-joint which spans the gapbetween ends of the shafts. Spacer couplings are used when the distancefrom one end of a shaft to the next is greater than the distance between anormal coupling spacing. The “normal” spacing of shafts when a jaw typecoupling is used is approximately equal to the thickness of a spider or lengthof the jaw. Special “spacers” may be used when the shaft spacing cannot bebridged by a standard coupling.

Spider - The elastomeric element of a flexible coupling, usually with 4or 6 “legs”.

Standards - Tolerances set by a variety of organizations around the world,such as:

ANSI - American National Standards InstituteASME - American Society of Mechanical EngineersSAE - Society of Automotive EngineersDIN - Deutsche Industrial NormenJIS - Japanese Industrial StandardAGMA - American Gear Manufacturers AssociationNEMA - National Electric Manufacturers AssociationIEC - International Electrical Code

Tightening Torque - The torque required to properly seat a set screw,cap screw or bolt in an assembly of any kind. Applied to a set screw, forexample, it is the force applied to the wrench multiplied by the approximatelength of the wrench in inches or feet. Catalog and instruction sheet valuesfor tightening torque are provided for most VIRTUS products.

Tolerances - The allowable variation in nominal dimensions specified.For example the tolerance in a bore may be plus .001 ( One thousandthsof an inch.) If the nominal bore is .875 (7/8 ) and the tolerance of .001 isadded, then:

.875

+.001 .876

Thus the allowable dimension of the bore would be .875 /.876 .

Torsional Stiffness - A measure of the torque required to create anamount of deflection about the coupling axis of rotation. It may be visualizedas a twisting action. It is most obvious in couplings which transfer torquethrough rubber or plastic elements; although, “all metal” couplings such asDeltaflex or gear couplings also twist under applied torque. Stiffness isexpressed in in-lb/radian.

Windup - The amount of twist of the coupling measured as an angle perunit of torque.

Page 3: Engineering Data - virtus.co.th

iii

Drawing Notations

Description Symbol

Axial Play/End Float APBolt Circle Diameter BC DIABetween Shaft Ends BSEClearance to Align Coupling CACCounter Bore Diameter CBDCollar Diameter CDContinuous Sleeve Length CDLClearance CLDiameter DCounter Bore Depth DCFace to Face FFlange Diameter FDFlange Length FLFloating Shaft Length FSLGap GHole Size HHub Diameter HDHub Length HLHeight HTInner Diameter ID

Description Symbol

Length LSleeve Length LSLength thru Bore LTBOverall Length OALOuter Diameter ODProjection PRemoval Clearance RRing Diameter RDSpacer SSleeve Diameter SDScrew Locations SLSpacer Thickness STScrew Size TTaper Bore TBThickness THTaper Length TLTooth Spacing TSTooth Width TWWidth W

For all VIRTUS dimensional drawings.

Page 4: Engineering Data - virtus.co.th

iv

IMPORTANT SAFETY INSTRUCTIONS

WARNING

■ When using VIRTUS products, you must follow these instructions and take the following precautions. Failureto do so may cause the power transmission product to break and parts to be thrown with sufficient force tocause severe injury or death.

-Refer to this VIRTUS Catalog for proper selection, sizing, horsepower, torque range, andspeed range of power transmission products, including elastomeric elements for couplings.Follow the installation instructions included with the product, and in the individual productcatalogs for proper installation of power transmission products. Do not exceed catalogratings.

-During start up and operation of power transmission product, avoid sudden shock loads.Coupling assembly should operate quietly and smoothly. If coupling assembly vibrates ormakes beating sound, shut down immediately, and recheck alignment. Shortly after initialoperation and periodically thereafter, where applicable, inspect coupling assembly for:alignment, wear of elastomeric element, bolt torques, and flexing elements for signs offatigue. Do not operate coupling assembly if alignment is improper, or where applicable,if elastomeric element is damaged, or worn to less than 75% of its original thickness.

-For variable speed drives, variable speed pulley rim speeds must never exceed 10,500feet per minute. Companion pulley speeds beyond the ratings contained in this catalogare not recommended. For Fixed Center Drives, do not start until a torque arm bracket isinstalled. Failure to install torque arm bracket will cause torque arm to rotate rapidly andmay cause severe injury from moving parts. Do not attempt to disassemble spring loadedpulley because parts may be thrown with sufficient force to cause injury or death.

■ Do not use any of these power transmission products for elevators, man lifts, or other devices that carrypeople. If the power transmission product fails, the lift device could fall resulting in severe injury or death.

■ For all power transmission products, you must install suitable guards in accordance with OSHA andAmerican Society of Mechanical Engineers Standards. Do not start power transmission product beforesuitable guards are in place. Failure to properly guard these products may result in severe injury ordeath from personnel contacting moving parts or from parts being thrown from assembly in the eventthe power transmission product fails.

■ If you have any questions, contact the VIRTUS Engineering.

!

Page 5: Engineering Data - virtus.co.th

Couplings Preselection Comparisons

JAW

.125 to

7.00

(4 to 178)

3.5 to170,000(10.4 to19,209)

1° to 1.3°

-40° to212°F

(-40° to100°C)

Medium

Good

Good

Low

Excellent

Good

Excellent

Good

ES

.375 to

5.50

(9 to 140)

60 to72,480(6.78 to8,189)

-30° to275°F

(-34° to135°C)

Low

Fair

Fair

Low

Excellent

Good

Excellent

Excellent

MINIATURE

(Beam)

.125 to

.50

(3 to 12)

1.35 to16.5

(0.2 to1.9)

-40° to200°F

(-40° to93°C)

Low

Poor

Good

Medium

Excellent

Excellent

Poor

Poor

NYLONSLEEVEGEAR

.313 to

1.625

(8 to 41)

162 to1,420(18 to160)

3° to 5°

-13° to150°F

(-25° to66°C)

Medium

Fair

Fair

High

Excellent

Good

Poor

Poor

CENTAFLEX(Donut)

.31 to

5.00

(7 to 130)

88 to44,200(10 to5,000)

-40° to194°F

(-40° to90°C)

Medium

Good

Fair

Low

Fair

Fair

Good

Excellent

DELTAFLEX

.438 to

5

(11 to 127)

750 to33,000(84 to3,728)

-40° to300°F

(-40° to149°C)

Low

Good

Fair

High

Fair

Excellent

Good

Poor

UNIFLEX

.125 to

1.50

(3 to 38)

18 to1,890(2 to

213.5)

4.5°

-40° to250°F

(-40° to121°C)

Low

Fair

Good

Medium

Excellent

Excellent

Fair

Poor

UNIVERSALJOINTS

.250 to

2.00

(6 to 50)

110 to65,400(12 to7,389)

25°

-40° to225°F

(-40° to107°C)

High

Excellent

Fair

High

Fair

Fair

Good

Poor

COUPLING TYPE

Excellent, Good, Fair, and Poor are relative ratings.

SAGA

1.188 to4.750(30 to

120.65)

350 to20,000(40 to22.60)

-60° to200°F

(-50° to93°C)

Low

Fair

Good

Low

Good

Fair

Good

Excellent

GRID

.500 to16.313(14 to414)

422 to2,700,000

(48 to306,000)

.25°

-40° to250°F

(-40° to121°C)

Medium

Good

Good

Medium

Fair

Fair

Good

Good

GEAR

.625 to54.0

(15 to1372)

2,520 to54,390,000

(284 to6,144,982)

1.5°

-40° to225°F

(-40° to107°C)

Medium

Excellent

Excellent

High

Fair

Fair

Excellent

Poor

Selection Criterion

Shaft Size Range–inch (MM)

Torque Range–in–lbs.

(Nm)

Maximum AngularMisalignmentCapability (Degrees)

Temperature Range(std. element)

Reactionary Loads due to Misalignment(Low-Medium-High)

Torque to O.D.Capability

Speed Capability

Torsional Stiffness(Low-Medium-High)

Ease of Installation/Maintenance

ChemicalResistance

Adaptable to Several Designs

Damping Capacity

DISC

0 to

15.94

(0 to 400)

504 to7,699,500

(57 to870,000)

.15°

-40° to536°F

(-40° to280°C)

Low

Excellent

Excellent

High

Fair

Excellent

Excellent

Poor

Page 6: Engineering Data - virtus.co.th

Engineering Data

A Brief Tutorial on MisalignmentThe function of a coupling is to connect driving and driven equipment. Inaddition, a coupling serves to protect costly equipment from the effects ofmisalignment, shock loads, vibration and shaft end float. Of these factors,the most common is misalignment and end float (also known as axialmisalignment).

Misalignment is a condition created by two shafts whose axes are not inthe same straight line. There are three forms of misalignment: parallel,angular, or the combination of the two. End float is the relative motion oftwo shaft ends.

Parallel misalignment occurs when the axes of the connected shafts areparallel, but not in the same straight line (fig. 1). Angular misalignmentoccurs when the axes of the shafts intersect at the center point of thecoupling (fig. 2). End float occurs when one shaft moves along it’s axisrelative to the other shaft. (fig. 3)

Misalignment can result from a combination of manufacturing tolerances,poor installation practices, thermal growth or shrinkage, foundationmovement, and/or component wear. The combination of angular andparallel misalignment within a system may be more detrimental to thecoupling and equipment than either of the individual misalignment. Axialmisalignment- result of either thrust loads, reaction loads, or heatgenerated movement - compounds the problem. Understanding theamount of misalignment that the coupling must handle or installing acoupling where it exceeds a maximum rated misalignment can result inpremature coupling failure and/or significant equipment damage.

Misalignment and Coupling FailureThe life expectancy of a coupling is affected by the degree of misalign-ment. The larger the misalignment, the shorter the life of the coupling asshown in fig.5. Misalignment may causes heat generation, fatigue, andan increase in wear in bearings of the drive and driven components.

PARALLEL MISALIGNMENTFIGURE 1

ANGULAR MISALIGNMENTFIGURE 2

AXIAL MISALIGNMENTFIGURE 3

COMPOSITE RADIAL MISALIGNMENTFIGURE 4

LIFE VERSUS MISALIGNMENTFIGURE 5WARNING

You must refer to page iv for Important Safety Instructions and Precautions forthe selection and use of these products. Failure to follow the instructions andprecautions can result in severe injury or death.

!

Power Transmission Basics

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Page 7: Engineering Data - virtus.co.th

When Misalignment Can Not be MeasuredWhen it is not possible to measure the misalignment of a system, or indesigning a new system, the following method can be used to estimateangular, parallel and combined misalignment. Each type of misalignment isfirst calculated and then the results are combined.

To calculate the maximum angular misalignment, the distance (L) and angle(a) must be known or estimated (see example below). First, calculate theangular misalignment noting the critical plane or midpoint of the shaft ends.Second, using the maximum parallel misalignment, be sure to consider bothhorizontal and vertical directions (Fig.3). Maximum parallel misalignmentoccurs when the shafts are diagonally opposed. Third, combine the results.

FIGURE 1

FIGURE 2

FIGURE 3

FIGURE 4

Worked exampleCalculate the worst possible composite alignment misalignment when:

α1 max = ±0.4°α2 max = ±0.4°

L max = 3 in. L max = 75 mm (LH and RH shafts)P1 max = 0.008 in. P1 max = 0.2 mmP2 max = 0.008 in. P2 max = 0.2 mm

1. Worst possible angular misalignment (Fig. 1) = α1 + α2= 0.4° +0.4°= 0.8°

2. Maximum radial misalignment (Fig. 2) = R1 + R2Since α1 and α2 are equal, R1 = R2Calculate for 2(R1) = 2 (tan α1 x L)= 2 (tan α1 x L) = 2 (tan 0.4 x 75)= 2 (tan 0.4 x 3) = 2 (0.007 x 75)= 2 (0.007 x 3) = 1.05 mm= 0.042 in.

3. Maximum parallel misalignment P3 (Fig. 3) = √P12 + P22

= √0.0082 + 0.0082 = √0.22 + 0.22

= 0.0113 inches = 0.28 mm4. Worst possible misalignment (Fig. 4) RC = R1 + R2 + P3

= 0.042 + 0.0113 = 1.05 + 0.28= 0.0533 in. = 1.33 mm

Note: How relatively minor angular misalignments can produce dis-proportionate radial misalignments. In this example, they account forapproximately 80% of the worst possible composite misalignment.

Summary

Worst possible angular misalignment = α1 + α2 (Fig. 1)Maximum radial misalignment = R1 + R2 (Fig. 2)Maximum parallel misalignment √(P12 + P22) = P3 (Fig. 3)Worst possible composite radial misalignment RC = R1 + R2 + P3 (Fig. 4)

Figures 1 through 4 represent that α1 = α2 and P1 = P2, and that L is the samefor LH and RH shafts.

Power Transmission Basics

Power Transmission BasicsEngineering Data

ED-3

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Page 8: Engineering Data - virtus.co.th

Formulas and Equations

Nm x RPM

KW = ————————

9,550

Example:15 HP @ 1750 RPM is:

15 x 100HP/C = ————— = .85 HP per 100 RPM (HP/C)

1750

Using .85 HP/C, the HP rating @ 800 RPM is:

.85—— x 800 = .85 x 8 = 6.8 HP100

TQ = F (force) x R (radius)

Inch example:20 HP at 100 RPM = 12,605 pound-inches Torque

63,025 x HP

Torque (in-lb) = ————————

RPM

= Force x Lever Arm (in inches)

5,252 x HPTorque (ft-lb) = ————————

RPM

= Force x Lever Arm (in feet)Force = Working load in pounds

Lever Arm = Distance from the force to the center of rotation in inches or feet.

Metric example:10 KW at 100 RPM = 955 Nm:

KW x 9,550

Torque (Nm) = ———————

RPM

Force = Working load in NewtonsLever Arm = Distance from the Force to the center of rotation in millimeters.

HorsepowerOne HP is the rate of work required to raise 33,000 pounds one foot inone minute.

Force x FPM Torque (in pound-inches) x RPM

HP = ————————— HP = ——————————————33,000

63,025

Torque (in pound-feet) x RPM

HP = ———————————————

5,252

FPM = Feet per minute

RPM = Revolutions per minute

Horsepower per Hundred RPMWhen the HP is given and the RPM, N, is known, HP/C is:

HP x 100

HP/C = ————— N

Once HP/C is known, HP @ N RPM is found by HP=HP/C x N

KilowattsOne KW is the rate of work required to raise 11,163 kg 0.305 meter in oneminute.

TorqueThe twisting or turning effort around a shaft tending to cause rotation.Torque is determined by multiplying the applied force by the distance fromthe point where force is applied to the shaft center.

ConversionsKW x 1.341 = HPHP x 0.7457 = KWNm x 0.737562 = ft-lbNm x 8.85 = in-lbft-lb x 1.356 = Nmin-lb x 0.113 = NmHP x 550 = ft-lb/sec

OverviewEngineering Data Overview

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Page 9: Engineering Data - virtus.co.th

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Overhung LoadsAn overhung load is a bending force imposed on a shaft due to the torquetransmitted by V-drives, chain drives and other power transmissiondevices, other than flexible couplings.

Most motor and reducer manufacturers list the maximum values allowablefor overhung loads. These values should be compared with the loadactually imposed by the connected drive.

Weights of the drive components are usually negligible. The formulas arebased on the assumption that the load is applied at a point equal to oneshaft diameter from the bearing face. Factor F, shown at right, depends onthe type of drive used.

Inch example:Find the overhung load imposed on a reducer by a double chain drivetransmitting 7 HP @ 30 RPM. The pitch diameter of the sprocket is 10 in.;service factor is 1.3.

Solution:

(63,025) (7 x 1.3) (1.25)O.H.L = ——————————————— = 4,779.4 lbs.

(30) (5)

Metric example:Find the overhung load imposed on a reducer by a double chain drivetransmitting 10 KW @ 30 RPM. The pitch diameter of the sprocket is254 mm; service factor is 1.3.

Solution: (376) (10 x 1.3) (1.25)

O.H.L = ————————————— = 160 N

(30) (1.27)

1.00 for single chain drives1.10 for timing belt drives

F = 1.25 for spur or helical gear or double chain drives1.50 for V-belt drives2.50 for flat belt drives

63,025 x HP x F

O.H.L. = —————————————

N x R

HP = Transmitted HP x service factorN = RPM of shaftR = Radius of sprocket, pulley, etc.F = Factor

376 x KW x F

O.H.L. = —————————

N x R

KW = Transmitted KW x service factorN = RPM of shaftR = Radius of sprocket, pulley, etc. (mm)F = Factor

Formulas and Equations

Engineering Data Overview

ED-5

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Page 10: Engineering Data - virtus.co.th

Engineering Data

HP

Speed Torque

(RPM)Constant Increases DecreasesConstant Decreases IncreasesIncreases Constant IncreasesDecreases Constant DecreasesIncreases Increases ConstantDecreases Decreases Constant

Horsepower/Speed/Torque RelationshipsFormulas and Equations

Electrical Formulas

To Find Single-phase Three-phase To FindAlternating or Direct

CurrentAlternating Current

Amperes whenhorsepower is known

Amperes whenkilowatts are known

Amperes whenKva are known

Kva

Horsepower = (Output)

KW x 1,000E x pf

HP x 7461.73 x E x Eff x pf

KW x 1,0001.73 x E x pf

Kva x 1,0001.73 x E

ER

IR

EI

Amperes when voltageand resistance are known

Voltage when resistanceand current are known

Resistance when voltageand current are known

Kva x 1,000E

I x E x pf1,000

Kilowatts 1.73 x I x E x pf

1,000

I x E1,000

1.73 x I x E1,000

I x E x Eff x pf746

1.73 x I x E x Eff x pf746

General Information (Approximation)(All values at 100% load)At 1,800 RPM, a motor develops 36 in-lb per HP.

At 1,200 RPM, a motor develops 54 in-lb per HP.

At 575 volts, a three-phase motor draws 1 amp per HP.

At 460 volts, a three-phase motor draws 1.25 amp per HP.

At 230 volts, a three-phase motor draws 2.5 amp per HP.

At 230 volts, a single-phase motor draws 5 amp per HP.

At 115 volts, a single-phase motor draws 10 amp per HP.

Temperature conversionDeg. C = (Deg. F - 32) x 5/9Deg. F = (Deg. C x 9/5) + 32

I = Amperes; E = Volts; Eff = Efficiency; pf = power factor; Kva = Kilovolt amperes;KW = Kilowatts; R = Ohms

HP x 746E x Eff x pf

Alt. CurrentSingle-Phase

Motor Amps @ Full Load1

HP Three-Phase

DC HP Single-Phase

Three-Phase

DCAlt. Current

HPAlt. Current

Single-Phase

Three-Phase

DC HP Single-Phase

Three-Phase

Alt. CurrentDC

—————

—————

180240300360480

268355443534712

Note: 1. Values are for all speeds and frequencies @ 230 volts.Amperage other than 230 volts can be figured:

V = 230 x Amp from Table

New Voltage

Example:

For 60 HP, three-phase @ 550 volts: (230 x 150)

= 62 amps 550Power factor estimated @ 80 percent for most motors. Efficiency is usually80 to 90 percent.

4.98.0

10.012.017.0

2.03.44.86.28.6

2.74.86.68.5

12.5

571/2

101520

284050——

14.421.026.038.050.0

2029385674

2530405060

6075

100120150

92110146180215

75100125150200

↑ ↓ ↓ ↑↑ ↑↓ ↓↑ ↑ ↓ ↓

1/2

111/2

23

Overview

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Page 11: Engineering Data - virtus.co.th

ED

Trigonomic FormulasAngles and sides of right angle triangles

Hypotenuse x SineHypotenuse / CosecantSide adjacent x TangentSide adjacent / Cotangent

Hypotenuse x CosineHypotenuse / SecantSide opposite x CotangentSide opposite / Tangent

Side opposite x CosecantSide opposite / SineSide adjacent x SecantSide adjacent / cosine

Formulas for findingfunctions of angles

Formulas for finding sides of righttriangles with an angle and side known

To findlength of

opposite side

To findlength of

hypotenuse

To findlength of

adjacent side

Trigonomic Formulas

TriangleArea = Base x 1/2 perpendicular height

SphereArea of surface = Square of diameter x 3.1416Volume = Cube of diameter x 0.5236

CubeArea of surface = Square of side x 6Volume = Cube of sideDiagonal = Side x 1.732

CylinderArea of curved surface = Diameter x length x 3.1416Volume = Square of diameter x length x 0.7854

ConeArea of curved surface = Base diameter x slant height x 1.5708Volume = Base diameter squared x perpendicular height x 0.2618

(Or: Area of base x 1/3 perpendicular height)

CircleArea = Square of diameter x 0.7854 (Or: Square of radius x 3.1416)Circumference = Diameter x 3.1416Diameter = Circumference x 0.3183Doubling diameter increases area four times; tripling diameterincreases area nine times, etc.

SquareArea = Square of sideDiagonal = Side x 1.4142Side = Diagonal x 0.7071

Square inscribed in circleSide of square = Diameter of circle x 0.7071

(Or: Circumference of circle x 0.2251)Diameter of circle = Side of square x 1.4142Circumference of circle = Side of square x 4.4429

Square and circle with equal areaSide of square = Diameter of circle x 0.8862Diameter of circle = Side of square x 1.128Circumference of circle = Side of square x 3.545

RectangleArea = Length x widthDiagonal = Square root of width2 + length2

Side opposite = Sine

HypotenuseSide adjacent

= CosineHypotenuseSide opposite

= TangentSide adjacentSide adjacent

= CotangentSide oppositeHypotenuse

= SecantSide adjacentHypotenuse

= CosecantSide opposite

a

a

a

a

a

b

b

b

b

b

c

c

c

c

c

—c

Sine Cc

Cosine Bb

Sine Bb

Cosine C—a

Cosecant Ba

Secant Cc

Cotangent Bc

Tangent C—a

Secant Ba

Cosecant Cb

Tangent Bb

Cotangent C

√ b2 + c2

c x Cosecant C

c x Secant B

b x Cosecant B

b x Secant C

a2 - c2

a x Sine B

a x Cosine C

c x Tangent B

c x Cotangent C

a2 - b2

a x Cosine B

a x Sine C

b x Cotangent B

b x Tangent C

Formulas

To find angles To find sides

To findc

= Sine Cab

= Cosine Cac

= Tangent Cbb

= Cotangent Cca

= Secant Cba

= Cosecant Ccb

= Sine Bac

= Cosine Bab

= Tangent Bcc

= Cotangent Bba

= Secant Bca

= Cosecant Bb

Formulas To find

C

C

C

C

C

C

B

B

B

B

B

B

Engineering Data Overview

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Page 12: Engineering Data - virtus.co.th

43,5604,046.85641.562 x 10-37633.8985429.9214.69595251.996778.1693.9302 x 10-40.252107.5862.9307 x 10-41,055.05612.960.02358090.017584317.57690.39370080.01100.013160.446113627.850.193410.061020.00110000.03531,7280.02831680.0370376.2288357.48051928.31684725.714057.8657910.47194740.12467530.062427935.314671.307951264.1721

Multiply by To findGivenTo findMultiply byGiven

AcresAcresAcresAtmospheresAtmospheresAtmospheresAtmospheresBTUBTUBTUBTUBTUBTUBTUBTU / minutesBTU / minutesBTU / minutesBTU / minutesCentimetersCentimetersCentimetersCm of mercuryCm of mercuryCm of mercuryCm of mercuryCm of mercuryCoulombCubic centimeterCubic centimeterCubic centimeterCubic centimeterCubic feetCubic feetCubic feetCubic feetCubic feetCubic feetCubic feetCubic feet/hourCubic feet/hourCubic feet/minuteCubic feet/poundCubic meterCubic meterCubic meter

Square feetSquare metersSquare milesCm of mercuryFeet of waterInches of mercuryPounds/square inchCalorieFoot-pounds-forceHorsepower-hoursKilogram-caloriesKilogram-metersKilowatt-hoursJouleFoot-pounds/secondHorsepowerKilowattsWattsInchesMetersMillimetersAtmospheresFeet of waterKg/square meterPounds/square footPounds/square inchAmpere-secondCubic inchesLiterCubic millimeterCubic feetCubic inchesCubic metersCubic yardGallons (British)Gallons (U.S.)LitersQuarts (U.S. dry)Cubic cm/secondLiter/minuteGallons (U.S.)/sec.Cubic meter/kilogramCubic feetCubic yardsGallons (U.S.)

Conversion Tables and Charts

Cubic meterCubic yardsCubic yardsCubic yardsCubic yards/minutesCubic yards/minutesDegreeDegree/secondFathomFeet of waterFeet of waterFeet of waterFeet of waterFeet of waterFeet/minuteFeet/minuteFeet/minuteFeet/minuteFeet/minuteFeet/secondFeet/secondFeet/secondFeet/secondFeet/secondFeet/secondFerkin (U.S.)FootFootFootFoot-poundsFoot-pounds-forceFoot-pounds-forceFoot-pounds-forceFoot-pounds-forceFoot-pounds-forceFoot-pounds/minuteFoot-pounds/minuteFoot-pounds/minuteFoot-pounds/minuteFoot-pounds/secondFoot-pounds/secondFoot-pounds/secondGallon (British)Gallon (British)Gallons (U.S.)/minute

1,000270.7645548201.9740.453.3662340.0174530.16666760.02950.8826304.862.430.43350.5080.016670.018290.30480.0113630.481.0970.592118.290.68180.01136930.48120.30481.3561.286 x 10-35.050 x 10-71.355820.13830.766 x 10-51.286 x 10-30.016673.03 x 10-42.26 x 10-57.717 x 10-21.818 x 10-31.3558189.6326190.27276548.020834

LiterCubic feetCubic meterGallons (U.S.)Cubic feet/secondGallons (U.S.)/sec.RadianRevolution/minuteFeetAtmospheresInches of mercuryKilograms/sq. meterPounds/square footPounds/square inchCentimeter/secondFeet/secondKilometers/hourMeters/minuteMiles/hourCentimeters/secondKilometers/hourKnotsMeters/minuteMiles/hourMiles/minuteGallons (U.S.)CentimeterInchMeterNewtoNmeterBTUHorsepower-hoursJoulesKilogram-metersKilowatt-hoursBTU/minuteFoot-pounds/secondHorsepowerKilowattsBTU/minuteHorsepowerWattsCubic feet/hourCubic meter/hourCubic feet/hour

Engineering Data

ED-8

Page 13: Engineering Data - virtus.co.th

Multiply by To findGivenTo findMultiply byGiven

Gallons (U.S.)/minuteGallon (dry)Gallons (liquid)Gallons (liquid)Gallons (liquid)Gallons (liquid)Gallons (liquid)Gallons (liquid)Gallons (liquid)Gallons (liquid)Gallons waterGallons water/minuteGallons—ImperialGallons—U.S.Gallons (U.S.)/minuteGallons (U.S.)/minuteGallons (U.S.)/minuteGramsGramsGramsGramsGrams (troy)Grams/centimeterGrams/cubic cmGrams/cubic cmGrams/literGrams/literGrams/literHorsepowerHorsepowerHorsepowerHorsepowerHorsepowerHorsepowerHorsepower (boiler)Horsepower (boiler)Horsepower-hoursHorsepower-hoursHorsepower-hoursHorsepower-hoursInchInches of mercuryInches of mercuryInches of mercuryInches of mercury

0.2271247268.80253,785.4120.13368052314.951 x 10-3

0.83267423.785412848.34536.00861.200950.832672.228 x 10-3

8.0208340.0630810-3

0.03527390.032152.205 x 10-3

2.0833 x 10-3

5.6 x 10-3

62.430.036138.3450.0624271,00042.407233,0005501.0140.7457745.733,4799.80952,5471.98 x 106

2.737 x 105

0.745725.40.033421.133345.370.73

Cubic meter/hourCubic inchCubic centimetersCubic feetCubic inchesCubic yardsGallons (British)LitersPints (liquid)Quarts (liquid)Pounds of waterTons of water/24 hrs.Gallons—U.S.Gallons—ImperialCubic feet/secondCubic feet/hourLiters/secondKilogramsOuncesOunces (troy)PoundsOunces (troy)Pounds/inchPounds/cubic footPounds/cubic inchPounds/1,000 gallonsPounds/cubic footParts/millionBTU/minuteFoot-pounds/minuteFoot-pounds/secondHorsepower (metric)KilowattsWattsBTU/hourKilowattBTUFoot-poundsKilogram-metersKilowatt-hoursMillimetersAtmospheresFeet of waterKilograms/sq. meterPounds/square foot

Inches of mercuryInches of waterInches of waterInches of waterInches of waterInches of waterInches of waterInch-poundsJouleKilogramsKilogramsKilogramsKilogramsKilograms-caloriesKilograms-caloriesKilograms-caloriesKilograms-caloriesKilometersKilometersKilometersKilometersKilometers/hourKilometers/hourKilometers/hourKilometers/hourKilometers/hourKillowatt-hoursKillowatt-hoursKillowatt-hoursKillowatt-hoursKillowatt-hoursKillowatt-hoursKilowattsKilowattsKilowattsKilowattsKilowattsKilowattsKnotsLeague (statute)Light yearLitersLitersLitersLiters

0.49120.0024580.0735525.40.57815.2020.036130.112980.0009489.812.20462261.102 x 10-3

103

3.96830861.558 x 10-3

1.162 x 10-3

3,280.84103

0.62137121,09454.680.91130.5399616.670.62143,4152.655 x 106

1.3413.6 x 106

860.53.67 x 105

56.86944,253.7737.61.3410214.3308103

1.15077935.8785 x 1012

103

0.0353161.0210-3

Conversion Tables and Charts

Pounds/square inchAtmospheresInches of mercuryKilograms/sq. meterOunces/square inchPounds/square footPounds/square inchNewtoNmetersBTUNewtonsPoundsTons (short)GramsBTUFoot-poundsHorsepower-hoursKilowatt-hoursFeetMetersMilesYardsFeet/minuteFeet/secondKnotsMeters/minuteMiles/hourBTUFoot-poundsHorsepower-hoursJouleKilogram-caloriesKilogram-metersBTU/minuteFoot-pounds/minuteFoot-pounds/secondHorsepowerKg-calories/minuteWattsMiles (statute)/hourMiles (statute)MilesCubic centimetersCubic feetCubic inchesCubic meters

Engineering Data

ED-9

Page 14: Engineering Data - virtus.co.th

To find GivenMultiply byGiven

LitersLitersLitersLitersLitersLiters/minuteLiters/minuteLiters/minuteLiters/secondMetersMetersMetersMetersMetersMetersMeters/minuteMeters/minuteMeters/minuteMeters/minuteMeters/minuteMeters/secondMeters/secondMeters/secondMeters/secondMilMilMilesMilesMilesMiles/hourMiles/hourMiles/hourMiles/hourMiles/hourMiles/minuteMiles/minuteMiles/minuteMilligramsMilligrams/literMillilitersMillilitersMillilitersMillimetersMillimetersMinutes (angle)

1.308 x 10-3

0.26422.1130.9081.05675.886 x 10-4

13.198154.403 x 10-3

2.118881003.280839939.3710-3

103

1.0936131.6673.2810.054680.060.037283.2813.60.062.2369360.0010.02545,2801.6091,76044.7881.4670.8689826.822,682881.60910-3

10.06102370.033814210-3

0.10.039372.909 x 10-4

Cubic yardsGallonsPints (liquid)Quarts (dry)Quarts (liquid)Cubic feet/secondGallons (British)/hourGallons/secondCubic feet/minuteCentimetersFeetInchesKilometersMillimetersYardsCentimeters/secondFeet/minuteFeet/secondKilometers/hourMiles/hourFeet/secondKilometers/hourKilometers/minuteMiles/hourInchMillimeterFeetKilometersYardsCentimeters/secondFeet/minuteFeet/secondKnotsMeters/minuteCentimeters/secondFeet/secondKilometers/minuteGramsParts/millionCubic inchFluid ouncesLitersCenitmetersInchesRadians

NewtoNmeterNewtoNmeterNewtonsOuncesOuncesOuncesOuncesOuncesOunces (fluid)Ounces (fluid)Ounces (fluid)Ounces (fluid)Ounces (troy)Ounces (troy)Ounces (troy)Ounces/square inchParts/millionParts/millionParts/millionPascalPoundsPoundsPoundsPoundsPoundsPoundsPounds of waterPounds of waterPounds of waterPounds of water/min.Pounds (troy)Pounds (troy)Pounds (troy)Pounds (troy)Pounds (troy)Pounds (troy)Pounds (troy)Pounds/cubic footPounds/cubic footPounds/cubic footPounds/cubic inchPounds/cubic inchPounds/cubic inchPounds/footPounds/inch

0.7375628.850.224810.062528.3495270.91152.79 x 10-5

2.835 x 10-5

1.8050.02957301.0408430.0833331.1034811.097140.06250.05840.070168.3450.0208854160.0005453.59241.2152814.58334.450.0160227.680.11982.67 x 10-4

12373.241770.82285713.16573.6735 x 10-4

4.1143 x 10-4

4.1667 x 10-3

0.0160216.025.787 x 10-4

27.682.768 x 104

1,7281.488178.6

Foot-pound-forceInch-pound-forcePoundsPoundsGramsOunces (troy)Tons (long)Tons (metric)Cubic inchesLitersMillilitersOunces (British fluid)Pounds (troy)GramsOunces (avoir)Pounds/square inchGrains/U.S. gallonGrains/Imperial gal.Pounds/million gal.Pounds-force/sq. ft.OuncesTons (short)GramsPounds (troy)Ounces (troy)NewtonsCubic feetCubic inchesGallonsCubic feet/secondOunces (troy)GramsPounds (avoir)Ounces (avoir)Tons (long)Tons (short)Tons (metric)Grams/cubic cmKgs/cubic meterPounds/cubic inchGrams/cubic cmKgs./cubic meterPounds/cubic footKilograms/meterGrams/centimeter

Conversion Tables and Charts

Engineering Data

Multiply by To find

ED-10

Page 15: Engineering Data - virtus.co.th

ED

Multiply by To findTo findMultiply byGiven Given

Pounds/square footPounds/square footPounds/square footPounds/square inchPounds/square inchPounds/square inchPounds/square inchPsiQuarts (dry)Quarts (dry)Quarts (liquid)Quarts (liquid)Quarts (liquid)Quarts (liquid)RadiansRadiansRadians/secondRadians/secondRadians/secondRevolutionsRevolutionsRevolutions/minuteRevolutions/minuteRevolutions/minuteRevolutions/secondRevolutions/secondRevolutions/secondSquare centimetersSquare feetSquare feetSquare feetSquare feetSquare inchesSquare inchesSquare inchesSquare kilometersSquare kilometersSquare kilometersSquare kilometersSquare metersSquare meters

0.016024.8836.945 x 10-3

0.0680462.3072.03602703.1167.2006251.10157.750.94630.83267420.85936757.295783,437.74757.30.15929.5492973606.28360.10470.016673606.2836010-4

1440.09293.587 x 10-3

0.11111 (1/9)6.4526.944 x 10-3

645.210.76 x 106

106

0.38611.196 x 106

10.763.861 x 10-7

Feet of waterKgs/square meterPounds/square inchAtmospheresFeet of waterInches of mercuryKgs/square meterPound-force/sq. inchCubic inchesLitersCubic inchesLiterQuart (British)Quart (dry)DegreesMinutesDegrees/secondRevolutions/secondRevolutions/minuteDegreesRadiansDegrees/secondRadians/secondRevolutions/secondDegrees/secondRadians/secondRevolutions/minuteSquare metersSquare inchesSquare metersSquare milesSquare yardsSquare centimetersSquare feetSquare millimetersSquare feetSquare metersSquare milesSquare yardsSquare feetSquare miles

Square metersSquare milesSquare milesSquare milesSquare millimetersSquare millimetersSquare yardsSquare yardsSquare yardsTemp. (°C+17.78)Temp. (°F-32)ThermTons (long)Tons (long)Tons (long)Tons (long)Tons (metric)Tons (metric)Tons (short)Tons (short)Tons (short)Tons (short)Tons (short)Tons (short)Tons (short)WattsWattsWattsWattsWattsWattsWatts-hoursWatts-hoursWatts-hoursWatts-hoursWatts-hoursWatts-hoursWatts-hoursYardsYards

1.19627.88 x 106

2.593.098 x 106

0.011.55 x 10-3

90.83613.228 x 10-7

1.80.55556 (5/9)100,0001,016.04691.0160472,2401.12103

2,2052,00032,000907.184862,430.560.8928729,1660.907180.0569244.260.73761.341 x 10-3

0.0143410-3

3.412142,6551.341 x 10-3

3,6000.8605367.110-3

360.9144

Square yardsSquare feetSquare kilometersSquare yardsSquare centimetersSquare inchesSquare feetSquare metersSquare milesTemperature (°F)Temperature (°C)BTUKilogramsTons (metric)PoundsTons (short)KilogramsPoundsPoundsOuncesKilogramsPounds (troy)Tons (long)Ounces (troy)Tons (metric)BTU/minutesFoot-pounds/minuteFoot-pounds/secondHorsepowerKg-calories/minuteKilowattsBTUFoot-pounds-forceHorsepower-hoursJoulesKilogram-caloriesKilogram-metersKilowatt-hoursInchesMeters

Conversion Tables and Charts

Engineering Data

ED-11

Page 16: Engineering Data - virtus.co.th

.00004

.00039

.00079

.001

.00118

.00157

.00197

.002

.00236

.00276

.003

.00315

.00354

.00394

.004

.005

.006

.007

.00787

.008

.009

.00984

.01

.01181

.01563

.01575

.01969

.02

.02362

.025

.02756

.0295

.03

.03125

.0315

.03543

.03937

.04

.04687

.04724

.05

.05512

.05906

.06

.06250

.06299

.06693

.07

.07087

.075

.07813

.07874

.08

.08661

.09

.09055

.09375

.09843

.1

.10236

.10937

.001

.01

.02

.025

.03

.04

.05

.051

.06

.07

.0762

.08

.09

.1

.1016

.1270

.1524

.1778

.2

.2032

.2286

.25

.254

.3

.3969

.4

.5

.508

.6

.635

.7

.75

.762

.7938

.8

.911.0161.1911.21.271.41.51.5241.58751.61.71.7781.81.9051.984422.0322.22.2862.32.38122.52.542.62.7781

1/64

1/32

3/64

1/16

5/64

3/32

7/64

Decimal mm

Inches

.11811

.1250

.13780

.14063

.150

.15625

.15748

.17188

.1750

.17717

.18750

.19685

.20

.20313

.21654

.21875

.2250

.23438

.23622

.250

.25591

.26563

.275

.27559

.28125

.29528

.29688

.30

.3125

.31496

.32813

.33465

.34375

.350

.35433

.35938

.37402

.375

.39063

.39370

.400

.40625

.41339

.42188

.43307

.43750

.450

.45276

.45313

.46875

.47244

.48438

.49213

.50

.51181

.51563

.53125

.53150

.54688

33.1753.53.57193.8103.968844.36564.4454.54.762555.085.15945.55.55625.7155.953166.35

6.56.74696.98577.14387.57.54067.627.937588.33448.58.73128.8999.12819.59.5259.9219

1010.1610.318810.510.71561111.112511.43011.511.509411.90621212.303112.512.7

1313.096913.493813.513.8906

1/8

9/64

5/32

11/64

3/16

13/64

7/32

15/64

1/4

17/64

9/32

19/64

5/16

21/64

11/32

23/64

3/825/64

13/32

27/64

7/16

29/6415/32

31/64

1/2

33/6417/32

35/64

Fraction Decimal mm

Inches

.550

.55118

.56250

.57087

.57813

.59055

.59375

.600

.60938

.61024

.6250

.62992

.64063

.64961

.650

.65625

.66929

.67188

.68750

.68898

.700

.70313

.70866

.71875

.72835

.73438

.74803

.750

.76563

.76772

.78125

.78740

.79688

.800

.80709

.81250

.82677

.82813

.84375

.84646

.850

.85938

.86614

.875

.88583

.89063

.900

.90551

.90625

.92188

.92520

.93750

.94488

.950

.95313

.96457

.96875

.98425

.984381.00000

13.9701414.287514.514.68441515.081215.2415.478115.515.8751616.271916.516.5116.66881717.065617.462517.517.7817.85941818.256218.518.65311919.050

19.446919.519.84382020.240620.32020.520.63752121.034421.431221.521.59021.82812222.22522.522.621922.8602323.018823.416523.523.81252424.13024.209424.524.60622525.003125.4

9/16

37/64

19/32

39/64

5/8

41/64

21/32

43/6411/16

45/64

23/32

47/64

3/4

49/64

25/32

51/64

13/16

53/6427/32

55/64

7/8

57/64

29/3259/64

15/16

61/64

31/32

63/64

1

Fraction Decimal mm

Inches

Conversion Tables and ChartsInch-Millimeter Equivalents

Fraction

Engineering Data

ED-12

Page 17: Engineering Data - virtus.co.th

ED

EPDM NeopreneHytrelUrethaneNBR (“SOX”)Resistance to:

B—AAAAABBACCC——AA—AA

A

C—AACAAAABCB—A

CAAAACAAB—

B (158°F)B

AAACCCCCCCCCCCCAACCA

C

ACACCCACCBCCAC

CAABBBACCC

A (158°F)C

BA

A (158°F)A

B-C (158°F)BCCCACCCCC

A (158°F)A (158°F)

ABA

A-B

A-BC

A-BB-CCBABCBCCBC

CA(158°F)

BB (158°F)

A-B (158°F)B-CA-BCCC

A (212°F)C

AcetoneAmmonia AnhydrousAmmonium Hydroxide SolutionsASTM oil No. 1ASTM oil No. 3ASTM reference fuel AASTM reference fuel BASTM reference fuel CBenzeneButaneCarbon TetrachlorideChlorobenzeneChloroformChromic Acid 10-50%Dowtherm A or E solventEthyl AlcoholEthylene GlycoFuel OilGasolineGlycerineHydraulic Oils

(Petroleum Based)Hydrochloric Acid, 37%

(cold)Hydrogen Peroxide, 90%Isopropyl AlcoholKeroseneLacquer Solvents (MEK)Lubricating OilsMethyl AlcoholMineral OilNaphthaNitric Acid, 10%NitrobenzenePhenolPhosphoric Acid, 20%Phosphate EstersPickling Solution

(20% Nitric Acid, 4% HP)Soap SolutionsSodium Hydroxide, 20%Stearic AcidSulfuric Acid, up to 50%Sulfuric Acid, 50% to 80%Tannic Acid, 10%TolueneTrichloroethyleneTurpentineWaterXylene

C—CAAAABCACCCC—CAAAA

A

CCBACBCACCCCC—

CABBCCACCAAC

C—CABABCCACCCC—CBCBC

A

C—CBC—CACCCCA—

CABACC—CCC—C

Legend: A = Fluid has little or no effect; B = Fluid has minor to moderate effect; C = Fluid has severe effect; — = No data available

Sleeve and Flexible Element Chemical Resistance Chart

Engineering Data

ED-13

Page 18: Engineering Data - virtus.co.th

Max.Min.Max.

9.10010.50011.50012.90013.90016.40017.40018.40019.40021.90022.90024.90027.50028.50031.50033.50035.50038.50041.50043.50045.50049.00052.00054.00056.50059.50062.50064.60066.60069.60073.10077.10080.10083.60085.60087.60090.60093.60095.60097.600

100.600104.600106.600108.600111.600114.600116.600

9.00010.40011.40012.80013.80016.30017.30018.30019.30021.80022.80024.80027.30028.30031.30033.30035.30038.30041.30043.30045.30048.80051.80053.80056.30059.30062.30064.40066.40069.40072.90076.90079.90083.40085.40087.40090.40093.40095.40097.400

100.400104.400106.400108.400111.400114.400116.400

2.01253.01253.01254.01504.01505.01505.01505.01505.01506.01506.01506.01508.01808.01808.01808.0180

10.018010.018010.018012.021512.021514.021514.021514.021516.021516.021516.021518.021518.021518.021520.026020.026020.026022.026022.026022.026022.026025.026025.026025.026025.026028.026028.026028.026028.026028.026028.0260

1.98752.98752.98753.98503.98504.98504.98504.98504.98505.98505.98505.98507.98207.98207.98207.98209.98209.98209.9820

11.978511.978513.978513.978513.978515.978515.978515.978517.978517.978517.978519.974019.974019.974021.974021.974021.974021.974024.974024.974024.974024.974027.974027.974027.974027.974027.974027.9740

8.0159.015

10.01511.01812.01814.01815.01816.01817.01819.02120.02122.02124.02125.02128.02130.02132.02535.02538.02540.02542.02545.02548.02550.02552.03055.03058.03060.03062.03065.03068.03072.03075.03078.03080.03082.03585.03588.03590.03592.03595.03598.035

100.035102.035105.035108.035110.035

8.0009.000

10.00011.00012.00014.00015.00016.00017.00019.00020.00022.00024.00025.00028.00030.00032.00035.00038.00040.00042.00045.00048.00050.00052.00055.00058.00060.00062.00065.00068.00072.00075.00078.00080.00082.00085.00088.00090.00092.00095.00098.000

100.000102.000105.000108.000110.000

11.41.41.81.82.32.32.32.32.82.82.83.33.33.33.33.33.33.33.33.33.83.83.84.34.34.34.44.44.44.94.94.95.45.45.45.45.45.45.45.46.46.46.46.46.46.4

2334455556668888

10101012121414141616161818182020202222222225252525282828282828

Bore Tolerances per DIN 7154, H7; Keyway Tolerances per DIN 6885, Js9

Boremm Min.Max.Min.

Heightmm

Keywaymm

Bore

8 910111214151617192022242528303235384042454850525558606265687275788082858890929598

100102105108110

Engineering Data

ED-14

.

Metric Clearance-fit Bore and Keyway Standards

Keyway T

Page 19: Engineering Data - virtus.co.th

ED

10 3 1.4 9.976 9.989 2.9875 3.0125 11.400 11.50011 4 1.8 10.971 10.991 3.9850 4.0150 12.800 12.90012 4 1.8 11.971 11.989 3.9850 4.0150 13.800 13.90014 5 2.3 13.971 13.989 4.9850 5.0150 16.300 16.40016 5 2.3 15.971 15.989 4.9850 5.0150 18.300 18.40018 6 2.8 17.971 17.989 5.9850 6.0150 20.800 20.90020 6 2.8 19.965 19.986 5.9850 6.0150 22.800 22.90022 6 2.8 21.965 21.986 5.9850 6.0150 24.800 24.90025 8 3.3 24.965 24.986 7.9820 8.0180 28.300 28.50028 8 3.3 27.965 27.986 7.9820 8.0180 31.300 31.50030 8 3.3 29.965 29.986 7.9820 8.0180 33.300 33.50035 10 3.3 34.958 34.983 9.9820 10.0180 38.300 38.50040 12 3.3 39.958 39.983 11.9785 12.0215 43.300 43.50045 14 3.8 44.958 44.983 13.9785 14.0215 48.800 49.00050 14 3.8 49.958 49.983 13.9785 14.0215 53.800 54.00055 16 4.3 54.949 54.979 15.9785 16.0215 59.300 59.50060 18 4.4 59.949 59.979 17.9785 18.0215 64.400 64.60070 20 4.9 69.949 69.979 19.9740 20.0260 74.900 75.10080 22 5.4 79.949 79.979 21.9740 22.0260 85.400 85.60090 25 5.4 89.941 89.976 24.9740 25.0260 95.400 95.600

100 28 6.4 99.941 99.976 27.9740 28.0260 106.400 106.600110 28 6.4 109.941 109.976 27.9740 28.0260 116.400 116.600120 32 7.4 119.941 119.976 31.9690 32.0310 127.400 127.600140 36 8.4 139.932 139.972 35.9690 36.0310 148.400 148.700160 40 9.4 159.932 159.972 39.9690 40.0310 169.400 169.700180 45 10.4 179.932 179.972 44.9690 45.0310 190.400 190.700200 45 10.4 199.921 199.967 44.9690 45.0310 210.400 210.700220 50 11.4 219.921 219.967 49.9690 50.0310 231.400 231.700250 56 12.4 249.921 249.967 55.9630 56.0370 262.400 262.700280 63 12.4 279.912 279.964 62.9630 63.0370 292.400 292.700300 70 14.4 299.912 299.964 69.9630 70.0370 314.400 314.700350 80 15.4 349.902 349.959 79.9630 80.0370 365.400 365.700400 90 17.4 399.902 399.959 89.9565 90.0435 417.400 417.700450 100 19.5 449.892 449.955 99.9565 100.0435 469.500 469.800500 100 19.5 499.892 499.955 99.9585 100.0435 519.500 519.800

TKeywayBoremm

Heightmm

Keywaymm Max.Min.Max.Min.Max.Min.

Bore

Bore Tolerances per ISO R286, P7; Keyway Tolerances per DIN 6885, JS9Metric Interference-fit Bore and Keyway Standards

Engineering Data

ED-15

Page 20: Engineering Data - virtus.co.th

U.S. Customary Clearance-fit Bore and Keyway Standards — Core Products

Note: Check the VIRTUS price list for bores and keywaysnormally stocked at factory or warehouse.

Engineering Data

ED-16

Nominal borediameter

21/16

21/8

23/16

21/4

3.2693.3323.3963.4593.5233.5863.6963.7603.8233.8873.9504.0144.0774.1414.2514.3144.3784.441

Keyway heightReference

“T”-DIM+0.010/-0.000

41/16

41/8

43/16

41/4

45/16

43/8

47/16

41/2

4.5054.5684.6324.6954.7594.8224.8854.949

3/8

7/16

1/2

9/16

5/8

11/16

3/4

13/16

7/8

15/16

111/16

11/813/16

11/415/16

13/8

17/16

11/219/16

15/8

111/16

13/4

113/16

17/8

115/16

2

“T”-DIM+0.010/-0.000

Keyway heightReference

Keyway width+0.002/-0.000

Bore+0.001/-0.000

Nominal borediameter

0.37500.43750.50000.56250.62500.68750.75000.81250.87500.93751.00001.06251.12501.18751.25001.31251.37501.43751.50001.56251.62501.68751.75001.81251.87501.93752.0000

0.04690.04690.06250.06250.09380.09380.09380.09380.09380.12500.12500.12500.12500.12500.12500.15630.15630.18750.18750.18750.18750.18750.18750.25000.25000.25000.2500

0.4210.4840.5600.6230.7090.7730.8370.9000.9641.0511.1141.1781.2411.3041.3671.4551.5181.6051.6691.7321.7961.8591.9222.0322.0962.1602.223

0.09380.09380.12500.12500.18750.18750.18750.18750.18750.25000.25000.25000.25000.25000.25000.31250.31250.37500.37500.37500.37500.37500.37500.50000.50000.50000.5000

Nominal borediameter

Keyway width+0.003/-0.000

Bore+0.0015/-0.000

2.93753.00003.06253.12503.18753.25003.31253.37503.43753.50003.56253.62503.68753.75003.81253.87503.93754.0000

0.75000.75000.75000.75000.75000.75000.87500.87500.87500.87500.87500.87500.87500.87501.00001.00001.00001.0000

0.37500.37500.37500.37500.37500.37500.43750.43750.43750.43750.43750.43750.43750.43750.50000.50000.50000.5000

215/16

331/16

31/8

33/16

31/4

35/16

33/8

37/16

31/2

39/16

35/8

311/16

33/4

313/16

37/8

315/16

4

Nominal borediameter

Keyway width+0.003/-0.000

Keyway heightReference

“T”-DIM+0.010/-0.000

4.06254.12504.18754.25004.31254.37504.43754.5000

0.50000.50000.50000.50000.50000.50000.50000.5000

1.00001.00001.00001.00001.00001.00001.00001.0000

Bore+0.002/-0.000

Bore and Keyway Tolerances per AGMA 9002-A86. Bore Tolerances per AGMA -9002-A86; Keyway tolerances per ANSI B17.1

“T”-DIM+0.010/0.000

Keyway heightReference

Keyway width+0.002/0.000

Bore+0.0015/-0.000

Nominal borediameter

2.06252.12502.18752.2500

0.50000.50000.50000.5000

0.25000.25000.25000.2500

2.2872.3502.4142.477

“T”-DIM+0.010/-0.000

Keyway heightReference

Keyway width+0.003/-0.000

2.9052.9683.0323.1423.205

25/8

211/16

23/4

213/16

27/8

25/16

23/8

27/16

21/2

29/16

2.62502.68752.75002.81252.8750

0.6250.6250.625

0.7500 0.7500

0.31250.31250.31250.37500.3750

2.31252.37502.43752.50002.5625

0.6250.6250.6250.6250.625

0.31250.31250.31250.31250.3125

2.5872.6512.7142.7782.841

Nominal borediameter

“T”-DIM+0.010/-0.000

Keyway heightReference

Keyway width+0.004/-0.000

Bore+0.002/-0.000

49/16

45/8

411/16

43/4

413/16

47/8

415/16

551/16

51/8

53/16

51/4

55/16

53/8

57/16

51/2

4.56254.62504.68754.75004.81254.87504.93755.00005.06255.12505.18755.25005.31255.37505.43755.5000

1.25001.25001.25001.25001.25001.25001.25001.25001.25001.25001.25001.25001.25001.25001.25001.2500

0.62500.62500.62500.62500.62500.62500.62500.62500.62500.62500.62500.62500.62500.62500.62500.6250

5.1055.1695.2335.2965.3605.4245.4875.5515.6145.6785.7415.8055.8685.9315.9956.058

Bore+0.0015/-0.000

Page 21: Engineering Data - virtus.co.th

ED

31/8

31/4

33/8

31/2

35/8

33/4

37/8

441/4

41/2

43/4

551/4

51/2

53/4

661/4

61/2

63/4

7

0.06250.09380.09380.09380.12500.12500.12500.15630.18750.18750.18750.25000.25000.25000.25000.31250.31250.31250.31250.37500.3750

Keyway sizeKeyway size

U.S. Customary Interference-fit Bore and Keyway Standards

Bore BoreActual AGMA

interference

fit

Actual AGMA

interference

fit

Nominalbore

diameter1/2

5/8

3/4

7/8

111/811/413/8

11/215/8

13/4

17/8

221/8

21/4

23/8

21/2

25/8

23/4

27/8

3

0.37500.37500.43750.43750.43750.43750.50000.50000.50000.50000.62500.62500.62500.62500.75000.75000.75000.75000.75000.7500

0.75000.75000.87500.87500.87500.87501.00001.00001.00001.00001.25001.25001.25001.25001.50001.50001.50001.50001.75001.7500

3/4 x 3/8

3/4 x 3/8

7/8 x 7/16

7/8 x 7/16

7/8 x 7/16

7/8 x 7/16

1 x 1/2

1 x 1/2

1 x 1/2

1 x 1/2

11/4 x 5/8

11/4 x 5/8

11/4 x 5/8

11/4 x 5/8

11/2 x 3/4

11/2 x 3/4

11/2 x 3/4

11/2 x 3/4

13/4 x 3/4

13/4 x 3/4

3.122/3.12353.247/3.24853.372/3.37353.497/3.49853.622/3.62353.747/3.74853.872/3.87353.997/3.99854.2465/4.2484.4965/4.4984.7465/4.7484.9965/4.9985.246/5.24755.496/5.49755.746/5.74755.996/5.99756.246/6.24756.496/6.49756.746/6.74756.996/6.9975

0.12500.18750.18750.18750.25000.25000.25000.31250.37500.37500.37500.50000.50000.50000.50000.6250.6250.6250.625

0.75000.7500

1/8 x 1/16

3/16 x 3/32

3/16 x 3/32

3/16 x 3/32

1/4 x 1/8

1/4 x 1/8

1/4 x 1/8

5/16 x 5/32

3/8 x 3/16

3/8 x 3/16

3/8 x 3/16

1/2 x 1/4

1/2 x 1/4

1/2 x 1/4

1/2 x 1/4

5/8 x 5/16

5/8 x 5/16

5/8 x 5/16

5/8 x 5/16

3/4 x 3/8

3/4 x 3/8

0.499/0.49950.624/0.62450.749/0.74950.874/0.87450.999/0.99951.124/1.12451.249/1.24951.374/1.37451.499/1.49951.623/1.6241.748/1.7491.873/1.8741.998/1.9992.123/2.1242.248/2.2492.373/2.3742.498/2.4992.623/2.6242.748/2.7492.873/2.8742.998/2.999

Nominal Decimal Nominal Decimal

Nominalbore

diameter

Shaft Diameter (inches) Bore DimensionsNominal shaftdiameter less:

Bore ToleranceThruOver

—11/2345789

12

11/2345789

1220

+.0005-.000+.0010-.000+.0015-.000+.0015-.000+.0015-.000+.002-.000+.002-.000+.002-.000+.0025-.000

23/16 inch bore example:Nominal shaft = 2.1875less .002 + .001 boretotal = 2.1855/2.1865

.001

.002

.003

.0035

.004

.005

.0055

Notes: 1. Consult VIRTUS when considering fits other than these.2. Complies with AGMA 9002-A86 through 9-inch shaft diameter.

There is no industry standard above that.

.006 to .008

.009 to .012

Note: For shaft sizes 1/2 through 61/2 , square keyways are preferred. For shaft sizes over 61/2 , rectangular keyways are preferred.

BORE AND KEYWAY TOLERANCES PER AGMA 9002-A86

Engineering Data

ED-17

Page 22: Engineering Data - virtus.co.th

IEC

Frame

Foot Mounting Shaft B5 Flange B14 Face GeneralTType

803.150

903.543

1003.937

1003.937125

4.921112

4.409140

5.512114

4.488140

5.512140

5.512178

7.008210

8.26825410241

9.488279

10.984267

10.512305

12.008286

11.260311

12.244311

12.244349

13.740368

14.488419

16.4964061645718500

19.690630

24.800

300

300400

400500

SL

SL

SM

SM

ML

ML

LM

SM

SM

SM

SM

SL

1003.937

1124.409

1254.921

1405.511

1606.300

1907.480

2168.504

25410

27910.984

31812.520

35614.016

40615.984

45717.992

50820

61024

401.570

451.770

501.969

562.205

632.480

702.760

893.504

1084.252

1214.764

1335.236

1495.866

1686.614

1907.485

2168.500

25410

632.480

712.800

803.150

903.543

1003.937

1124.409

1325.197

1606.299

1807.087

2007.874

2258.858

2509.843

28011.025

31512.400

35513.980

230.906

301.181

401.575

501.969

602.362

602.362

803.150

1104.331

1104.331

1104.331

1405.512

1405.512

1706.693

1706.693

1706.693

80.313

80.313

130.500

130.500

140.562

140.562

140.562

200.787

1154.528

1305.118

1656.496

1656.496

2158.465

2158.465

26510.433

30011.811

30011.811

35013.780

40015.748

953.740

1104.331

1305.118

1305.118

1807.087

1807.087

2309.055

2509.842

2509.842

30011.811

35013.780

1405.512

1606.299

2007.874

2007.874

2509.840

2509.840

30011.811

35013.780

35013.780

40015.748

45017.716

90.354

100.393

110.430

120.472

140.560

140.560

140.560

190.748

190.748

190.748

190.748

30.118

3.50.138

3.50.138

3.50.138

40.160

40.160

40.160

50.200

50.200

752.953

853.347

1003.937

1154.530

1305.108

1305.108

1656.496

2158.465

602.362

702.756

803.150

953.740

1104.331

1104.331

1305.118

1807.087

903.540

1054.130

1204.724

1405.512

1606.299

1606.299

2007.874

2509.840

1194.690

1194.690145d

5.690d145

5.690168d

6.614d168

6.614144d

5.687d

2007.875

2007.875

2439.562

32912.940

39515.560

44117.375

49519.488

52020.472

61624.252

75929.900

75929.900

130.50022d

0.880d18

0.69021d

0.844d22

0.88021d

0.844d22

0.88021d

0.844d

271.062

271.062

271.062

351.375

512.008

632.500

632.500

632.500

632.500

1024

1024

M5

M6

M6

M8

M8

M8

M8

M12

*

*

*

*

*

*

*

*

*

*

*

*

*

*

*

110.433

140.551

190.748

240.945

281.102

281.102

381.496

421.654

481.890

552.165

602.362

702.756

803.150

853.346

853.346

IEC Quick Reference Chart

1024

116d4.567d

1024

1164.510130

5.120130

5.120107d

4.250d149

5.875153d

6.060d

1495.875

1877.375

2429.510

33313.120

35914.125

38315.079

45717.992

49719.567

68326.880

68326.880

1214.760136d

5.375d131

5.140149d

5.880d152

6162d

6.380d173

6.810165d

6.531d180

7.906239d

9.440d

2148.437

25610.062

32912.940

37214.640

41616.375

48319.016

51320.197

58122.874

68226.840

71928.320

2.50.098

2.50.098

30.118

30.118

3.50.138

3.50.138

3.50.138

40.160

LEGEND

Metric dimensions (millimeters) in bold.Inch dimensions in plain type.

d = DC Motors

1 mm = 0.03937 inches1 inch = 25.40 mm

— — — — —

Note: * indicates that this dimension varies depending upon manufacturer

Engineering Data

BA H MD EC T TSLA PN M AC ADP N LS HC XX

315

355

280

250

225

200

180

160

132

112

100

90

80

71

63

Page 23: Engineering Data - virtus.co.th

ED

Note: Drawings represent standard TEFC general purpose motors.Dimensions are for reference only.

IEC Motor Frame Dimensions

Frame

63718090

100112132160180200225250280315355

D G GD

111419242828383748556070808585

8.511

15.52024243342

42.54953

67.5717676

456777889

101112141414

456888

101214161820222222

F

Key and Keyseat Dimensions

Engineering Data

ED-19

Page 24: Engineering Data - virtus.co.th

ED

ED-20

42

48

56

56H

143T

145T

182

184

182T

184T

213

215

213T

215T

254U

256U

254T

256T

284U

286U

284T

286T

284TS

286TS

324U

326U

324T

326T

324TS

326TS

364U

365U

364T

365T

364TS

365TS

404U

405U

404T

405T

404TS

405TS

444U

445U

444T

445T

447T

449T

444TS

445TS

447TS

449TS

NEMA Quick Reference Chart—Inch

13/4

21/8

27/16

23/4

33/4

41/4

5

51/2

61/4

7

8

9

111/16

23/4

3

5

4

5

41/2

51/2

41/2

51/2

51/2

7

51/2

7

51/4

10

81/4

10

91/2

11

91/2

11

91/2

11

101/2

12

101/2

12

101/2

12

111/4

121/4

111/4

121/4

111/4

121/4

121/4

133/4

121/4

133/4

121/4

133/4

141/2

161/2

141/2

161/2

20

25

141/2

161/2

20

25

9/32*11/32*

11/32*

11/32

13/32

13/32

17/32

17/32

21/32

21/32

13/16

13/16

11/2

17/8

27/16

21/8

21/2

211/16

211/16

39/16

39/16

31/2

31/2

37/8

37/8

41/16

41/16

45/16

45/16

51/8

51/8

47/8

47/8

33/8

33/8

57/8

57/8

51/2

51/2

315/16

315/16

63/4

63/4

61/4

61/4

4

4

73/16

73/16

75/16

75/16

41/2

41/2

85/8

85/8

81/2

81/2

815/16

815/16

53/16

53/16

415/16

415/16

5

57/8

67/8

67/8

811/16

101/4

127/8

145/8

161/2

181/2

205/16

227/8

227/8

227/8

227/8

2215/16

2215/16

227/8

227/8

2215/16

2215/16

411/16

511/16

65/8

65/8

77/8

99/16

1215/16

145/8

161/2

181/4

201/8

223/8

223/8

223/8

223/8

233/4

233/4

223/8

223/8

233/4

233/4

3/8

1/2

5/8

7/8

7/8

7/8

11/8

11/8

11/8

11/8

13/8

13/8

13/8

13/8

15/8

15/8

15/8

15/8

17/8

17/8

15/8

15/8

17/8

17/8

21/8

21/8

17/8

17/8

21/8

21/8

23/8

23/8

17/8

17/8

23/8

23/8

27/8

27/8

21/8

21/8

27/8

27/8

33/8

33/8

33/8

33/8

23/8

23/8

23/8

23/8

11/8

11/2

17/8

21/4

21/4

21/4

23/4

23/4

3

3

33/8

33/8

33/4

33/4

4

4

47/8

47/8

45/8

45/8

31/4

31/4

55/8

55/8

51/4

51/4

33/4

33/4

63/8

63/8

57/8

57/8

33/4

3 3/4

71/8

71/8

71/4

71/4

41/4

41/4

85/8

85/8

81/2

81/2

81/2

81/2

43/4

43/4

43/4

43/4

3/8

1/2

1/2

3/4

3/4

3/4

1

11/2

2

21/2

3

3

4NPT

4NPT

41/32

43/8

5

51/4

57/8

73/8

95/8

131/8

141/8

151/16

18

199/16

199/16

199/16

199/16

2111/16

2111/16

199/16

199/16

2111/16

2111/16

15/16

111/16

21/16

21/8

21/8

21/8

25/8

25/8

23/4

23/4

31/8

31/8

31/2

31/2

33/4

33/4

45/8

45/8

43/8

43/8

3

3

53/8

53/8

5

5

31/2

31/2

61/8

61/8

55/8

55/8

31/2

31/2

67/8

67/8

7

7

4

4

83/8

83/8

81/4

81/4

81/4

81/4

41/2

41/2

41/2

41/2

33/4

33/4

57/8

57/8

57/8

57/8

71/4

71/4

71/4

71/4

9

11

11

11

14

3

3

41/2

41/2

41/2

41/2

81/2

81/2

81/2

81/2

101/2

121/2

121/2

121/2

16

21/16

21/2

23/4

21/4

23/4

31/2

41/4

43/4

51/4

57/8

65/8

71/2

1/8

1/8

1/8

1/8

1/8

1/8

1/4

1/4

1/4

1/4

1/4

1/4

1/4

1/4

1/4

45/8

55/8

61/2

61/2

61/2

61/2

9

9

9

10

111/4

133/8

133/8

137/8

163/4

19/16

21/4

21/4

21/4

23/8

23/4

1/4-201/4-20

3/8-16

3/8-16

3/8-163/8-161/2-131/2-13

1/2-13

1/2-13

1/2-13

5/8-11

5/8-11

5/8-11

5/8-11

D E 2FNEMAFrame

P U VH N O AA AB AH AJ AK BA BB BD XO TAP

25/8

3

31/2

31/2

41/2

51/4

61/4

7

8

9

10

11

Note: * indicates Slot

Engineering Data

ED-20

Page 25: Engineering Data - virtus.co.th

ED

D

SFLATFLAT

3/16

3/16

1/4

5/16

3/8

1/2

1/2

5/8

5/8

3/4

7/8

1

NEMA Motor Frame DimensionsNEMAShaft

KeyseatDimensions

U3/8

1/2

5/8

7/8

11/813/8

15/8

17/8

21/8

23/8

21/2

27/8

33/8

37/8

R21/64

29/64

33/64

49/64

63/64

1 13/64

1 13/32

119/32

127/32

21/64

23/16

229/64

27/8

35/16

NEMA C-Face BA Dimensions143-5TC182-4TC213-5TC254-6TC

23/4

31/2

41/4

43/4

5000Frame BAAAVUPOED AB

5007S5007L5009S5009L5011S5011L

81/2

81/2

81/2

81/2

81/2

81/2

267/8

267/8

267/8

267/8

267/8

267/8

4-NPT4-NPT4-NPT4-NPT4-NPT4-NPT

61/2

11 1/8

61/2

111/861/2

111/8

21/2

37/8

21/2

37/8

21/2

37/8

303030303030

2627/32

2627/32

2627/32

2627/32

2627/32

2627/32

101010101010

121/2

121/2

121/2

121/2

121/2

121/2

222228283636

2F15/16

15/16

15/16

15/16

15/16

15/16

H BA31/8

31/8

31/2

41/4

43/4

51/4

57/8

65/8

71/2

81/2

Frame E F N U V66203204224225254284324326364365404405444445504505

41/8

5

51/2

61/4

7

8

9

10

11

121/2

21/2

23/4

31/4

33/8

33/4

41/8

43/4

51/4

655/8

61/8

61/8

67/8

71/4

81/4

89

215/16

4

41/2

551/2

61/4

7

8

9

10

21/4

27/16

31/4

37/16

41/4

53/8

55/8

63/8

71/8

85/8

3/4

3/4

1

11/8

11/4

15/8

178/83

21/8

23/8

27/8

21/4

2

3

33/8

33/4

47/8

53/8

61/8

67/8

83/8

Note: Drawings represent standard TEFC general purpose motors.Dimensions are for reference only.

Frames Prior to 1963

Engineering Data

ED-21