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GuidePublished 14 Aug 202622 min readBy Kevin JoginMachine DesignMachine ElementsStandard Metal Balls: SizeGrade and Application

Engineering · Machine Design · Machine Elements

Standard Metal Balls: Size, Grade and Application: The Complete Engineering Guide to Selection, Grading, and...

Engineering handbook for standard metal balls: size, grade and application, covering the complete engineering guide to selection, grading, and specification, the...

Executive summary

This handbook section converts the supplied engineering material into a practical, source-controlled reference. It concentrates on the following learning outcomes.

The Complete Engineering Guide to Selection, Grading, and Specification
The 2-Millionth-of-an-Inch Mistake That Shut Down an Entire Production Line
Definitions and Symbols: The Language of Precision Balls
Individual Ball Measurements
Lot-Level Measurements
Specification and Marking Terms

The Complete Engineering Guide to Selection, Grading, and Specification



The 2-Millionth-of-an-Inch Mistake That Shut Down an Entire Production Line

the practitioner had been a quality engineer at a mid-size bearing manufacturer for eleven years. He could identify a defective component by sound alone—the faint click of a misaligned race, the whisper of a rough surface finish. But on a Tuesday morning in March, he stared at a rejection report that made no sense.

An entire shipment of 80,000 chrome alloy steel balls—rejected. Not because the balls were the wrong size. Not because they were the wrong material. The balls failed because the practitioner's purchasing team had ordered Grade 100 when the application demanded Grade 24, and the lot diameter variation was nearly four times what the assembly could tolerate.

The cost wasn't just the scrapped balls. It was the three days of halted production, the emergency air freight for replacements, and the client penalty clause that kicked in at hour forty-eight.

The root cause? Nobody on the team fully understood the AFBMA grading system, the relationship between ball gage specifications and actual delivered dimensions, or how to write a proper ordering specification.

This guide exists so that mistake never happens to you.



What This Guide Covers

You're about to get the complete technical reference on standard metal balls per ANSI/AFBMA Std 10-1989—the American National Standard that governs how metal balls for bearings and other precision applications are described, specified, measured, and graded.

Every section of this guide maps directly to the Standard's structure:

  • Definitions and Symbols — the precise language you need to speak when specifying balls
  • Preferred Ball Gages — the controlled deviation system that determines actual delivered size
  • Tolerances by Grade — the hard numbers that separate a Grade 3 ball from a Grade 1000 ball
  • Nominal Size Ranges by Material — what's available in steel, non-ferrous, and exotic alloys
  • Hardness Ranges — the Rockwell values and curvature corrections you need for testing
  • Preferred Ball Sizes — the complete dual-unit (inch and metric) size catalog
  • Number of Balls per Pound and per Kilogram — the weight-count conversion data for every common material


Definitions and Symbols: The Language of Precision Balls

If the practitioner had known these definitions cold, his purchasing team would never have confused lot diameter variation with ball diameter variation. These are not interchangeable terms. Each one describes a specific, measurable characteristic defined by the Standard.


Individual Ball Measurements

Symbol Term Definition
Dw Nominal Ball Diameter The diameter value used for general identification of a ball size (e.g., ¼ inch, 6 mm). This is the "name" of the ball, not necessarily its exact measured size.
Dws Single Diameter of a Ball The distance between two parallel planes tangent to the surface of a ball. One measurement, one direction.
Dwm Mean Diameter of a Ball The arithmetical mean of the largest and smallest single diameters of a ball. This captures the "average" size of an individual ball across all orientations.
VDws Ball Diameter Variation The difference between the largest and smallest single diameters of one ball. This is an out-of-roundness indicator for a single ball.
ΔRw Deviation from Spherical Form The greatest radial distance in any radial plane between a sphere circumscribed around the ball surface and any point on the ball surface. The ultimate measure of "how round is this ball?"

Lot-Level Measurements

Symbol Term Definition
Lot A definite quantity of balls manufactured under conditions that are presumed uniform, considered and identified as an entirety.
DwmL Lot Mean Diameter The arithmetical mean of the mean diameter of the largest ball and that of the smallest ball in the lot.
VDwL Lot Diameter Variation The difference between the mean diameter of the largest ball and that of the smallest ball in the lot. This tells you how much size spread exists across the entire batch.

Specification and Marking Terms

Term Definition
Nominal Ball Diameter Tolerance The maximum allowable deviation of any ball lot mean diameter from the Nominal Ball Diameter.
Container Marking Increment The standard unit steps in millionths of an inch or in micrometers used to express the Specific Diameter.
Specific Diameter The amount by which the lot mean diameter (DwmL) differs from the nominal diameter (Dw), accurate to the container marking increment for that grade. This value should be marked on the unit container.
Ball Gage Deviation (ΔS) The difference between the lot mean diameter and the sum of the nominal mean diameter and the ball gage.
Surface Roughness (Ra) Surface roughness consists of all irregularities that form surface relief, conventionally defined within the area where deviations of form and waviness are eliminated.

The critical distinction you must internalize: Ball Diameter Variation (VDws) is about one ball's roundness. Lot Diameter Variation (VDwL) is about size consistency across the entire batch. Confuse these, and you'll specify the wrong grade for your application.



The Ball Gage System: Why Your Balls Aren't Exactly "Nominal"

Here's what tripped up the practitioner's team: precision balls are almost never made to exact nominal size. Instead, the AFBMA system uses a concept called the "ball gage"—a prescribed small offset from nominal diameter that tells the manufacturer exactly how much the lot mean diameter should differ from the name on the box.


How Ball Gages Work

A ball gage is expressed with a proper algebraic sign (plus or minus). The "0" ball gage is commonly referred to as "OK"—meaning the lot mean diameter should match the nominal diameter as closely as the grade allows.

When you order balls, you specify five things:

  1. Quantity (e.g., 80,000 pieces)
  2. Material (e.g., chrome alloy steel)
  3. Nominal Ball Diameter (e.g., ¼ inch or 6 mm)
  4. Grade (e.g., Grade 16)
  5. Ball Gage (e.g., −0.0002 inch or −4 µm)

Preferred Ball Gages for Grades 3 to 200

The following table shows the available ball gage options by grade. Higher-precision grades have finer gage increments; lower-precision grades offer wider spacing.

Allowable Ball Gage Deviation:

  • Grade 3: +0.000030 / −0.000030 inch (+0.75 / −0.75 µm)
  • Grades 5, 10, and 16: +0.000050 / −0.000040 inch (+1.25 / −1.0 µm)
  • Grade 24: +0.000100 / −0.000100 inch (+2.5 / −2.5 µm)

Ball Gages in 0.0001-Inch Units

Grade Minus Gages OK Plus Gages
3, 5 −3, −2, −1 0 +1, +2, +3
10, 16 −4, −3, −2, −1 0 +1, +2, +3, +4
24 −5, −4, −3, −2, −1 0 +1, +2, +3, +4, +5
48 −6, −4, −2 0 +2, +4, +6
100 0
200 0

Ball Gages in 1 µm Units

Grade Minus Gages OK Plus Gages
3, 5 −8, −7, −6, −5, −4, −3, −2, −1 0 +1, +2, +3, +4, +5, +6, +7, +8
10, 16 −10, −8, −6, −4, −2 0 +2, +4, +6, +8, +10
24 −12, −10, −8, −6, −4, −2 0 +2, +4, +6, +8, +10, +12
48 −16, −12, −8, −4 0 +4, +8, +12, +16
100 0
200 0

Key Insight: Grades 100 and 200 only have the "OK" (0) gage. This makes sense—at those lower precision levels, the tolerances are already wide enough that fine gage selection isn't meaningful.



Ordering and Package Marking: Real-World Examples

Understanding the theory is one thing. Seeing how it plays out in actual purchase orders and package labels is what separates confident engineers from confused ones.


Example 1: Inch-Unit Order

Order reads: 80,000 pieces, chrome alloy steel, ¼-inch Nominal Diameter, Grade 16, Ball Gage −0.0002 inch.

  • If manufactured to perfect size: DwmL = 0.249800 inch
  • Acceptable range for Grade 16: DwmL from 0.249760 to 0.249850 inch
  • Actual measured: 0.249823 inch (rounded to 0.249820 per container marking increment)

Package label reads:

5,000 Balls, Chrome Alloy Steel, ¼″ Nominal Diameter, Grade 16, −0.0002 inch Ball Gage, and −0.000180 inch Specific Diameter.


Example 2: Metric-Unit Order

Order reads: 80,000 pieces, chrome alloy steel, 6 mm Nominal Diameter, Grade 16, Ball Gage −4 µm.

  • If manufactured to perfect size: DwmL = 5.99600 mm
  • Acceptable range for Grade 16: DwmL from 5.99500 to 5.99725 mm
  • Actual measured: 5.99627 mm (rounded to 5.99625 per container marking increment)

Package label reads:

5,000 Balls, Chrome Alloy Steel, 6 mm Nominal Diameter, Grade 16, −4 µm Ball Gage, and −3.75 µm Specific Diameter.

The takeaway for you: Always verify that your incoming inspection checks the Specific Diameter on the package against your design requirements. That single number tells you exactly where the balls sit relative to nominal.



Tolerances by Grade: The Complete Specification Table

This is the table that should be pinned to every quality engineer's wall. A ball grade embodies a specific combination of dimensional, form, and surface roughness tolerances. Lower grade numbers mean tighter tolerances and higher precision.


Table 1: AFBMA Standard Balls — Tolerances for Individual Balls and Lots


In Millionths of an Inch

Grade Ball Diameter Variation (VDws) Deviation from Spherical Form (ΔRw) Max Surface Roughness Ra Lot Diameter Variation (VDwL) Nominal Ball Dia. Tolerance (±) Container Marking Increment
3 3 3 0.5 5 N/A 10
5 5 5 0.8 10 N/A 10
10 10 10 1 20 N/A 10
16 16 16 1 32 N/A 10
24 24 24 2 48 N/A 10
48 48 48 3 96 N/A 50
100 100 100 5 200 500 N/A
200 200 200 8 400 1000 N/A
500 500 500 N/A 1000 2000 N/A
1000 1000 1000 N/A 2000 5000 N/A

In Micrometers

Grade Ball Diameter Variation (VDws) Deviation from Spherical Form (ΔRw) Max Surface Roughness Ra Lot Diameter Variation (VDwL) Nominal Ball Dia. Tolerance (±) Container Marking Increment
3 0.08 0.08 0.012 0.13 N/A 0.25
5 0.13 0.13 0.02 0.25 N/A 0.25
10 0.25 0.25 0.025 0.5 N/A 0.25
16 0.4 0.4 0.025 0.8 N/A 0.25
24 0.6 0.6 0.05 1.2 N/A 0.25
48 1.2 1.2 0.08 2.4 N/A 1.25
100 2.5 2.5 0.125 5 12.5 N/A
200 5 5 0.2 10 25 N/A
500 13 13 N/A 25 50 N/A
1000 25 25 N/A 50 125 N/A

How to Read This Table

Think of it this way: Grade 3 balls are round to within 3 millionths of an inch (0.08 µm). That's roughly 1/300th the diameter of a human hair. Grade 1000 balls? They're allowed a full thousandth of an inch (25 µm) of variation—still precise by most standards, but orders of magnitude looser than the top grades.

Quick selection guide:

  • Grades 3–10: Aerospace bearings, precision instruments, gyroscopes
  • Grades 16–24: General-purpose bearings, industrial applications
  • Grades 48–100: Commercial bearings, non-critical rolling elements
  • Grades 200–1000: Valves, check balls, non-bearing applications

Pattern to notice: For Grades 3 through 48, the grade number itself equals the allowable ball diameter variation in millionths of an inch. Grade 16 = 16 millionths. Grade 48 = 48 millionths. This makes the system remarkably intuitive once you see it.



Materials and Size Ranges: What's Available in What Grade

Not every material is available in every grade or size. This is where engineering judgment meets manufacturing reality. The following tables show you what's actually produced.


Steel Balls — Typical Nominal Size Ranges by Material and Grade

Material Grade(s) Size Range (Inch) Size Range (mm)
Chrome Alloy 3 1⁄32 – 1 0.8 – 25
Chrome Alloy 5, 10, 16, 24 1⁄64 – 1½ 0.3 – 38
Chrome Alloy 48, 100, 200, 500 1⁄32 – 2⅞ 0.8 – 75
Chrome Alloy 1000 ⅜ – 4½ 10 – 115
AISI M-50 3, 5, 10, 16 1⁄32 – ½ 0.8 – 12
AISI M-50 24, 48 1⁄32 – 1⅝ 0.8 – 40
Corrosion Resisting Hardened 3, 5, 10, 16 1⁄64 – ¾ 0.3 – 19
Corrosion Resisting Hardened 24 1⁄32 – 1 0.8 – 25
Corrosion Resisting Hardened 48 1⁄32 – 2 0.8 – 50
Corrosion Resisting Hardened 100, 200 1⁄32 – 4½ 0.8 – 115
Carbon Steel 100, 200, 500, 1000 1⁄16 – 1½ 1.5 – 38
Silicon Molybdenum 200 ¼ – 1⅛ 6.5 – 28

Non-Ferrous Balls — Typical Nominal Size Ranges by Material and Grade

Material Grade(s) Size Range (Inch) Size Range (mm)
Aluminum 200 1⁄16 – 1 1.5 – 25
Aluminum Bronze 200 13⁄16 – 4 20 – 100
Brass 100, 200, 500, 1000 1⁄16 – ¾ 1.5 – 19
Bronze 200, 500, 1000 1⁄16 – ¾ 1.5 – 19
Monel Metal 400 100, 200, 500 1⁄16 – ¾ 1.5 – 19
K-Monel Metal 500 100 1⁄16 – ¾ 1.5 – 19
K-Monel Metal 500 200 1⁄16 – 1 11⁄16 1.5 – 45
Tungsten Carbide 5 3⁄64 – ½ 1.2 – 12
Tungsten Carbide 10 3⁄64 – ¾ 1.2 – 19
Tungsten Carbide 16 3⁄64 – 1 1.2 – 25
Tungsten Carbide 24 3⁄64 – 1¼ 1.2 – 32
Corrosion Resisting Unhardened 100, 200, 500 1⁄16 – ¾ 1.5 – 19

What this means for you: If your application needs a Grade 5 ball in carbon steel—it doesn't exist. Carbon steel balls start at Grade 100. If you need high-precision carbon steel rolling elements, you'll need to switch to chrome alloy steel or accept the manufacturing constraints.



Hardness Ranges: Know Your Rockwell Values

Hardness is the second most commonly misunderstood specification after grade. Different materials have vastly different hardness ranges, and the Rockwell scale used varies by material.


Table 3: AFBMA Standard Balls — Typical Hardness Ranges

Important testing notes:

  • Rockwell Hardness Tests shall be conducted on parallel flats per ASTM Standard E-18 unless otherwise specified.
  • Hardness readings taken on spherical surfaces are subject to curvature corrections (see next section).
  • For carbon steel balls smaller than 5 mm (¼ inch), use the microhardness method per ANSI/AFBMA Std 10-1989.
  • Hardness of balls in any one lot shall be within 3 points on Rockwell C scale (4 points for corrosion-resisting hardened).

Steel Balls

Material Common Standard SAE Unified Number Rockwell Value
Alloy Tool (AISI M-50) AISI/SAE M50 T-11350 60–65 HRC
Carbon (AISI 1008) AISI/SAE 1008 G-10080 60 min HRC
Carbon (AISI 1013) AISI/SAE 1013 G-10130 60 min HRC
Carbon (AISI 1018) AISI/SAE 1018 G-10180 60 min HRC
Carbon (AISI 1022) AISI/SAE 1022 G-10220 60 min HRC
Chrome Alloy (E52100) AISI/SAE E52100 G-52986 60–67 HRC
Chrome Alloy (E51100) AISI/SAE E51100 G-51986 60–67 HRC
Corr. Resist. Hard. (440C) AISI/SAE 440C S-44004 58–65 HRC
Corr. Resist. Hard. (440B) AISI/SAE 440B S-44003 55–62 HRC
Corr. Resist. Hard. (420) AISI/SAE 420 S-42000 52 min HRC
Corr. Resist. Hard. (410) AISI/SAE 410 S-41000 97 HRB; 41 HRC
Corr. Resist. Hard. (329) AISI/SAE 329 S-32900 45 min HRC
Corr. Resist. Unhardened (302) AISI/SAE 302 S-30200 25–39 HRC
Corr. Resist. Unhardened (304) AISI/SAE 304 S-30400 25–39 HRC
Corr. Resist. Unhardened (305) AISI/SAE 305 S-30500 25–39 HRC
Corr. Resist. Unhardened (316) AISI/SAE 316 S-31600 25–39 HRC
Corr. Resist. Unhardened (430) AISI/SAE 430 S-43000 48–63 HRA
Silicon Molybdenum (S2) AISI/SAE S2 T-41902 52–60 HRC

Note: Corrosion-resisting unhardened steels (302, 304, 305, 316) have an annealed hardness of 75–90 HRB available when specified.


Non-Ferrous Balls

Material Common Standard SAE Unified Number Rockwell Value
Aluminum AA-2017 A-92017 54–72 HRB
Aluminum Bronze (624) CDA-624 C-62400 94–98 HRB
Aluminum Bronze (630) CDA-630 C-63000 94–98 HRB
Brass CDA-260 C-26000 75–87 HRB
Bronze CDA-464 C-46400 75–98 HRB
Monel 400 AMS-4730 N-04400 85–95 HRB
K-Monel 500 QA-N-286 N-05500 24 min HRC
Tungsten Carbide JIC Carbide 84–91.5 HRA


Ball Hardness Corrections for Curvature

This is the table most engineers forget exists—and it's the one that causes the most false rejections during incoming inspection. When you test hardness directly on a ball's curved surface, the reading will be lower than the actual hardness. The smaller the ball, the greater the correction needed.

These corrections apply to Rockwell C readings obtained on spherical surfaces of chrome alloy steel, corrosion-resisting hardened and unhardened steel, and carbon steel balls.


Table 5: Hardness Corrections — Rockwell C Scale

Corrections to ADD to Rockwell C readings on spherical surfaces:

Hardness Reading (HRC) ¼″ Ball 5⁄16″ Ball ⅜″ Ball ½″ Ball ⅝″ Ball ¾″ Ball 1″ Ball
20 +12.1 +9.3 +7.7 +6.1 +4.9 +4.1 +3.1
25 +11.0 +8.4 +7.0 +5.5 +4.4 +3.7 +2.7
30 +9.8 +7.5 +6.2 +4.9 +3.9 +3.2 +2.4
35 +8.6 +6.6 +5.5 +4.3 +3.4 +2.8 +2.1
40 +7.5 +5.7 +4.7 +3.6 +2.9 +2.4 +1.7
45 +6.3 +4.9 +4.0 +3.0 +2.4 +1.9 +1.4
50 +5.2 +4.0 +3.2 +2.4 +1.9 +1.5 +1.1
55 +4.1 +3.1 +2.5 +1.8 +1.4 +1.1 +0.8
60 +2.9 +2.2 +1.8 +1.2 +0.9 +0.7 +0.4
65 +1.8 +1.3 +1.0 +0.5 +0.3 +0.2 +0.1

Practical example: You test a ¼-inch chrome alloy ball on its spherical surface and get a reading of 58 HRC. Looking at the table and interpolating between the HRC 55 and HRC 60 rows, you'd add approximately +3.5 points. The corrected hardness is approximately 61.5 HRC—safely within the 60–67 HRC range for E52100 chrome alloy steel.

Pro tip: For other ball sizes and hardness readings not shown, interpolate between correction values in the table. For the most accurate results, always test on parallel flats ground into the ball surface when possible.



Preferred Ball Sizes: The Complete Dual-Unit Reference

The AFBMA Standard defines specific preferred ball sizes in both metric and inch dimensions. This isn't a case of "pick any size you want"—these are the standard sizes that manufacturers produce. Ordering outside this list means custom manufacturing, longer lead times, and higher costs.


Table 4: Preferred Ball Sizes (Sorted in the supplied reference)


Small Sizes (Sub-1 mm to ~6 mm)

Metric Size (mm) Diameter (inches) Inch Designation
0.300 0.011810
0.397 0.015625 1⁄64
0.400 0.015750
0.500 0.019680
0.508 0.020000 0.020
0.600 0.023620
0.635 0.025000 0.025
0.700 0.027560
0.794 0.031250 1⁄32
0.800 0.031496
1.000 0.039370
1.191 0.046875 3⁄64
1.200 0.047240
1.500 0.059060
1.588 0.062500 1⁄16
1.984 0.078125 5⁄64
2.000 0.078740
2.381 0.093750 3⁄32
2.500 0.098420
2.778 0.109375 7⁄64
3.000 0.118110
3.175 0.125000
3.500 0.137800
3.572 0.140625 9⁄64
3.969 0.156250 5⁄32
4.000 0.157480
4.366 0.171875 11⁄64
4.500 0.177160
4.763 0.187500 3⁄16
5.000 0.196850
5.500 0.216540
5.556 0.218750 7⁄32
5.953 0.234375 15⁄64
6.000 0.236220

Medium Sizes (~6 mm to ~20 mm)

Metric Size (mm) Diameter (inches) Inch Designation
6.350 0.250000 ¼
6.500 0.255900
6.747 0.265625 17⁄64
7.000 0.275590
7.144 0.281250 9⁄32
7.500 0.295280
7.541 0.296875 19⁄64
7.938 0.312500 5⁄16
8.000 0.314960
8.500 0.334640
8.731 0.343750 11⁄32
9.000 0.354330
9.128 0.359375 23⁄64
9.525 0.375000
9.922 0.390625 25⁄64
10.000 0.393700
10.319 0.406250 13⁄32
11.000 0.433070
11.113 0.437500 7⁄16
11.500 0.452756
11.509 0.453125 29⁄64
11.906 0.468750 15⁄32
12.000 0.472440
12.303 0.484375 31⁄64
12.700 0.500000 ½
13.000 0.511810
13.494 0.531250 17⁄32
14.000 0.551180
14.288 0.562500 9⁄16
15.000 0.590550
15.081 0.593750 19⁄32
15.875 0.625000
16.000 0.629920
16.669 0.656250 21⁄32
17.000 0.669290
17.463 0.687500 11⁄16
18.000 0.708660
18.256 0.718750 23⁄32
19.000 0.748030
19.050 0.750000 ¾
19.844 0.781250 25⁄32
20.000 0.787400

Large Sizes (~20 mm to ~115 mm)

Metric Size (mm) Diameter (inches) Inch Designation
20.638 0.812500 13⁄16
21.000 0.826770
21.431 0.843750 27⁄32
22.000 0.866140
22.225 0.875000
23.000 0.905510
23.019 0.906250 29⁄32
23.813 0.937500 15⁄16
24.000 0.944880
24.606 0.968750 31⁄32
25.000 0.984250
25.400 1.000000 1
26.000 1.023620
26.988 1.062500 1 1⁄16
28.000 1.102360
28.575 1.125000 1⅛
30.000 1.181100
30.163 1.187500 1 3⁄16
31.750 1.250000
32.000 1.259840
33.338 1.312500 1 5⁄16
34.000 1.338580
34.925 1.375000 1⅜
35.000 1.377950
36.000 1.417320
36.513 1.437500 1 7⁄16
38.000 1.496060
38.100 1.500000
39.688 1.562500 1 9⁄16
40.000 1.574800
41.275 1.625000 1⅝
42.863 1.687500 1 11⁄16
44.450 1.750000
45.000 1.771650
46.038 1.812500 1 13⁄16
47.625 1.875000 1⅞
49.213 1.937500 1 15⁄16
50.000 1.968500
50.800 2.000000 2
53.975 2.125000 2⅛
55.000 2.165354
57.150 2.250000
60.000 2.362205
60.325 2.375000 2⅜
63.500 2.500000
65.000 2.559055
66.675 2.625000 2⅝
69.850 2.750000
73.025 2.875000 2⅞
76.200 3.000000 3
79.375 3.125000 3⅛
82.550 3.250000
85.725 3.375000 3⅜
88.900 3.500000
92.075 3.625000 3⅝
95.250 3.750000
98.425 3.875000 3⅞
101.600 4.000000 4
104.775 4.125000 4⅛
107.950 4.250000
111.125 4.375000 4⅜
114.300 4.500000


Number of Metal Balls per Pound

This is your planning and logistics table. When you need to convert between weight and count—for quoting, for inventory, for cost analysis—these numbers eliminate guesswork.


Material Densities (Pounds per Cubic Inch)

Material Density (lb/in³)
Aluminum 0.101
Aluminum Bronze 0.274
Corrosion Resisting Hardened Steel 0.277
AISI M-50 / Silicon Moly Steel 0.279
Chrome Alloy Steel 0.283
Carbon Steel 0.284
AISI 302 Corr. Resist. Unhardened 0.286
AISI 316 Corr. Resist. Unhardened 0.288
Bronze 0.304
Brass / K-Monel Metal 0.306
Monel Metal 0.319
Tungsten Carbide 0.540

Table 6: Balls per Pound by Size and Material

For sizes above 1 inch diameter, use this formula:

No. balls per pound=1.91(nom. dia., in.)3×(material density, lb/in3)\text{No. balls per pound} = \frac{1.91}{(\text{nom. dia., in.})^3 \times (\text{material density, lb/in}^3)}

Nom. Dia. (in.) Aluminum (0.101) Alum. Bronze (0.274) Corr. Resist. Hard. (0.277) Chrome Alloy (0.283) Carbon Steel (0.284) Bronze (0.304) Brass / K-Monel (0.306) Monel (0.319) Tungsten Carbide (0.540)
1⁄32 620,000 228,000 226,000 221,000 220,000 206,000 205,000 196,000 116,000
1⁄16 77,500 28,600 28,200 27,600 27,500 25,700 25,600 24,500 14,500
3⁄32 22,900 8,460 8,370 8,190 8,160 7,620 7,570 7,270 4,290
9,680 3,570 3,530 3,460 3,440 3,220 3,200 3,070 1,810
5⁄32 4,960 1,830 1,810 1,770 1,760 1,650 1,640 1,570 927
3⁄16 2,870 1,060 1,050 1,020 1,020 953 947 908 537
7⁄32 1,810 666 659 645 642 600 596 572 338
¼ 1,210 446 441 432 430 402 399 383 226
9⁄32 850 313 310 303 302 282 281 269 159
5⁄16 620 228 226 221 220 206 205 196 116
11⁄32 466 172 170 166 166 155 154 147 87.1
359 132 131 128 128 119 118 114 67.1
13⁄32 282 104 103 101 100 93.7 93.1 89.3 52.8
7⁄16 226 83.2 82.3 80.6 80.3 75.0 74.5 71.5 42.2
15⁄32 184 67.7 66.9 65.3 65.3 61.0 60.6 58.1 34.3
½ 151 55.8 55.2 54.0 53.8 50.3 49.9 47.9 28.3
17⁄32 126 46.5 46.0 45.0 44.9 41.9 41.6 39.9 23.6
9⁄16 106 39.2 38.7 37.9 37.8 35.3 35.1 33.6 19.9
19⁄32 90.3 33.3 32.9 32.2 32.1 30.0 29.8 28.6 16.9
77.5 28.6 28.2 27.6 27.5 25.7 25.6 24.5 14.5
21⁄32 66.9 24.7 24.4 23.9 23.8 22.2 22.1 21.2 12.5
11⁄16 58.2 21.5 21.2 20.8 20.7 19.3 19.2 18.4 10.9
23⁄32 50.9 18.8 18.6 18.2 18.1 16.9 16.8 16.1 9.53
¾ 44.8 16.5 16.3 16.0 15.9 14.9 14.8 14.2 8.38
25⁄32 39.7 14.6 14.5 14.2 14.1 13.2 13.1 12.6 7.42
13⁄16 35.3 13.0 12.9 12.6 12.5 11.7 11.6 11.2 6.59
27⁄32 31.5 11.6 11.5 11.2 11.2 10.5 10.4 9.97 5.89
28.2 10.4 10.3 10.1 10.0 9.38 9.32 8.94 5.28
29⁄32 25.4 9.37 9.26 9.07 9.04 8.44 8.39 8.04 4.75
15⁄16 22.9 8.46 8.37 8.19 8.16 7.62 7.57 7.27 4.29
31⁄32 20.8 7.67 7.58 7.42 7.40 6.91 6.87 6.59 3.89
1 18.9 6.97 6.89 6.75 6.72 6.28 6.24 5.99 3.54

Engineering use and verification

Begin with load paths, motion, interfaces and credible failure modes. Define duty cycle, environment, alignment, lubrication, manufacturing variation and maintenance access before choosing a component. Check static strength, fatigue, stiffness, heat, wear and fastening together because improving one constraint can worsen another. Record assumptions and verify the assembled system, not just catalogue ratings for isolated parts.

  • Confirm scope, assumptions, interfaces and required outcome.
  • Use one controlled unit system and show every conversion.
  • Identify current project, customer and regulatory requirements.
  • Separate source examples from mandatory acceptance criteria.
  • Check calculations, tables and selections by an independent method.
  • Verify safety, maintainability and credible failure modes.
  • Record evidence, revisions, approvals and unresolved limitations.
  • Validate the result under representative operating conditions.

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