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Thread Pull-Out and Minimum Engagement Calculator for Aluminum

In aluminum you design tapped holes for thread shear, not for bolt strength, because the threads let go long before the fastener does. This calculator gives you the internal thread shear area, the actual pull-out load at your depth, and the minimum engagement that makes the bolt the weak link, then tells you whether a coil insert is the cheaper answer.

Last updated July 2026

Hole Type

The design factor covers thread form error, tap wear, hole perpendicularity and the nut dilation effect that the ideal shear model ignores. 1.5 is the working default. Selecting frequent disassembly adds 0.25 on top of whatever you enter.

Fastener, 1/4-20 UNC SAE Grade 5
Tensile Stress Area
0.0318 in²
Ultimate Tensile Load
3,819 lb
Proof Load
2,705 lb
Clamp Load at 75% of Proof
2,029 lb
At = 0.7854 x (0.2500 - 0.9743 / 20)² = 0.0318 in²F_bolt = 0.0318 x 120,000 = 3,819 lb
Tapped Threads in 6061-T6 / T651
Shear Area per Inch
0.5390 in²/in
Strength per Inch
16,169 lb/in
Shear Area at 0.375 in
0.2021 in²
Pull-Out Load
6,063 lb
Theoretical Minimum Engagement
0.236 in / 0.94D
Recommended Minimum Engagement
0.360 in / 1.44D
Margin at Your Engagement
1.59x PASS
Drilled Depth Needed (blind)
0.550 in
Governing failure mode: the bolt breaks first at 3,819 lb. The aluminum threads hold 6,063 lb.
AS/in = pi x 20.00 x 0.2408 x [1 / (2 x 20.00) + 0.57735 x (0.2408 - 0.2224)] = 0.5390 in²/inP = 0.5390 x 0.375 x 30,000 = 6,063 lbLe_theo = 3,819 / 16,169 = 0.236 inLe_rec = max(0.2500, 0.236 x 1.50) rounded up to 0.010 = 0.360 in
Tapped Hole Section
Le 0.375Le_rec 0.3600.500 avail1/4-20 UNC6061-T6 / T651

White threads are the engaged length carrying load. The dashed line is the recommended minimum engagement with the design factor applied. Anything below it is material you are not using.

Coil Insert Option
Recommended Insert Length
1D / 0.250 in
STI Tap Drill
0.2950 / M
Insert Hole Depth
0.425 in
Pull-Out with Insert
6,391 lb
Insert LengthInchesHole DepthPull-Out (lb)vs Bolt
0.5D0.1250.3003,1960.84x
1D0.2500.4256,3911.67x
1.5D0.3750.5509,5872.51x
2D0.5000.67512,7823.35x
2.5D0.6250.80015,9784.18x
3D0.7500.92519,1735.02x

Countersink the top of the STI hole 0.030 in deep at 82 degrees so the tang breaks clean and the first coil sits below the face, or specify a tangless insert and skip it. Blind hole depths include 0.050 in of chip clearance below the last full thread. STI tap drill values for the common UNC sizes match published coil insert charts. Everything else is nominal plus one pitch snapped up to the next standard drill, so check it against your insert supplier before you drill.

D_sti_major = 0.2500 + 1.2 x 0.0500 = 0.3100 inAS/in (STI) = 0.8521 in²/in, 25,564 lb per inch in 6061-T6 / T651P_insert = 0.8521 x 0.250 x 30,000 = 6,391 lb
Verdict

Tap it directly. 0.360 in of engagement in 6061-T6 / T651 fits inside 0.500 in of material with a design factor of 1.50 applied.

Alloy shear strengths are published typical values for the temper. Verify against the mill certification for anything structural.

How to use this calculator

  1. Pick the thread size and the fastener grade you are actually installing. The grade sets the load the aluminum has to survive, so a Grade 8 bolt in the same hole demands more depth than a Grade 5.
  2. Pick the base alloy and temper. This is the input that moves the answer most, because ultimate shear runs from 15 ksi in cast tool and jig plate up to 48 ksi in 7075-T651.
  3. Enter the material you have below the face, then the engagement length you were planning to use. Set blind or through so the drilled depth accounts for the tap lead and chip clearance.
  4. Read the governing failure mode line. If it says the threads strip first, you are short on depth. If it says the bolt breaks first, the joint is doing what you want.
  5. Compare your engagement against the recommended minimum. The margin should be at least your design factor, 1.5 for most work.
  6. If the recommended engagement does not fit, or the joint gets taken apart often, read the coil insert panel. It gives the STI tap drill, the hole depth, and the pull-out load at the larger insert diameter.

Aluminum shear strength and minimum thread engagement by alloy

Strength per inch and minimum engagement are worked for a 1/4-20 UNC with an SAE Grade 5 bolt (3,819 lb ultimate) at a design factor of 1.5, with a floor of one diameter. This is the single table that explains why the 1.5D rule of thumb works in 6061 and fails in cast plate.

Alloy and TemperUltimate Tensile (psi)Tensile Yield (psi)Ultimate Shear (psi)Brinell1/4-20 Strength per Inch (lb)Min Engagement (in)As Multiple of D
6061-T6 / T65145,00040,00030,0009516,1690.361.44D
6061-T4 / T45135,00021,00024,0006512,9350.451.80D
7075-T65183,00073,00048,00015025,8710.251.00D
7075-T735173,00063,00044,00013523,7150.251.00D
7050-T745176,00066,00044,00014023,7150.251.00D
2024-T35168,00047,00041,00012022,0980.261.04D
5083-H32146,00033,00027,0008214,5520.401.60D
5052-H3233,00028,00020,0006010,7800.542.16D
5000 series cast tool and jig plate23,00012,00015,000658,0850.712.84D

Cast tool and jig plate values are typical for the product class, not a specification minimum. A fixture plate tapped as if it were 6061 will strip, because it needs about 2.8 diameters where 6061-T6 needs 1.4.

Thread shear area, stress area and STI tap drill by size

Ds min is the class 2A minimum major diameter of the external thread. En max is the class 2B maximum pitch diameter of the internal thread. Pull-out per inch is the shear area per inch multiplied by 30,000 psi for 6061-T6, so divide by 30,000 and multiply by your alloy shear strength to move it to another material.

SizeD (in)TPIDs min (in)En max (in)Stress Area (sq in)Shear Area per Inch (sq in/in)Pull-Out per Inch, 6061-T6 (lb)STI Tap Drill
6-32 UNC0.1380320.13120.12180.00910.27778,3300.1695 (#18)
8-32 UNC0.1640320.15710.14750.01400.334310,0290.1960 (#9)
10-24 UNC0.1900240.18180.16720.01750.401112,0330.2340 (A)
10-32 UNF0.1900320.18310.16970.02000.430012,9010.2210 (#2)
1/4-20 UNC0.2500200.24080.22240.03180.539016,1690.2950 (M)
1/4-28 UNF0.2500280.24190.23110.03640.512715,3800.2900 (L)
5/16-18 UNC0.3125180.30260.28170.05240.681820,4540.3680 (U)
3/8-16 UNC0.3750160.36430.34010.07750.828124,8430.4375 (7/16)
7/16-14 UNC0.4375140.42580.39850.10630.964028,9210.5156 (33/64)
1/2-13 UNC0.5000130.48760.45650.14191.123533,7050.5781 (37/64)
5/8-11 UNC0.6250110.61130.57320.22601.424942,7470.7188 (23/32)
3/4-10 UNC0.7500100.73530.69270.33451.723251,6950.8594 (55/64)

STI tap drills for 6-32, 8-32, 10-24, 1/4-20, 5/16-18, 3/8-16 and 1/2-13 match published coil insert charts. The rest are nominal plus one pitch snapped up to the next standard drill, so confirm against your insert supplier before drilling.

Formulas

Fastener tensile stress area

Unified inch threads: At = 0.7854 x (D - 0.9743 / n) squared, with D in inches and n in threads per inch. Metric: At = 0.7854 x (D - 0.9382 x p) squared, with D and p in millimetres, then divide by 645.16 to get square inches.

Fastener load capacity

F_bolt = At x UTS_bolt. F_proof = At x PROOF_bolt. Recommended clamp load = 0.75 x F_proof. A 1/4-20 Grade 5 gives At = 0.0318 sq in and F_bolt = 3,819 lb.

Internal thread shear area, FED-STD-H28

AS_per_in = pi x n x Ds_min x [ 1 / (2 x n) + 0.57735 x (Ds_min - En_max) ], in square inches per inch of engagement. The shear area at your chosen depth is AS = AS_per_in x Le. For metric threads, convert D, p, Ds_min and En_max to inches first and use n = 25.4 / p as the effective threads per inch.

Pull-out load

P = AS x TAU_ULT, where TAU_ULT is the published ultimate shear strength of the base alloy. This calculator uses tabulated shear values rather than the 0.6 times UTS shortcut, because that shortcut overstates 6061 and understates 7075.

Minimum engagement

Le_theoretical = F_bolt / (AS_per_in x TAU_ULT) is the depth at which the bolt and the threads fail at the same load. Le_rec = max(1.0 x D, Le_theoretical x DESIGN_FACTOR), rounded up to the nearest 0.010 inch. The default design factor of 1.5 covers thread form error, tap wear, hole perpendicularity and the nut dilation effect that the ideal shear model ignores. Frequent disassembly adds 0.25 on top.

Coil insert sizing

STI tap drill diameter D_sti = D + p, snapped up to the nearest standard fractional, letter or number drill. The STI major diameter formed in the parent material is D_sti_major = D + 1.2 x p. Recompute the shear area with Ds_min replaced by D_sti_major and En_max replaced by (D_sti_major - 0.6495 x p), then P_insert = AS_per_in_sti x Le_insert x TAU_ULT. Hole depth = insert length + 0.5 x D for the tap lead, plus 0.050 inch of chip clearance in a blind hole. Countersink 0.030 inch deep at 82 degrees for the tang break, or specify a tangless insert.

Need the stock to cut these holes into, get an instant quote on DFARS compliant 6061, 7075 and 7050 plate cut to your size, with the mill cert that tells you which shear strength row above actually applies to your part.

Frequently Asked Questions

What is the minimum thread engagement in aluminum?

About 1.5 times the fastener diameter in 6061-T6 with a Grade 5 or class 8.8 bolt, and about 2 times diameter with a Grade 8, class 12.9 or socket head cap screw. In 7075-T651 you can drop to roughly 1 to 1.25 diameters because its shear strength is 48 ksi against 30 ksi for 6061. Below those depths the aluminum threads shear out before the fastener reaches its rated load, which is the failure mode you are designing against.

How do you calculate thread pull-out strength in aluminum?

Multiply the internal thread shear area by the ultimate shear strength of the alloy. The shear area per inch of engagement is pi times n times Ds_min times the quantity 1 divided by 2n plus 0.57735 times the difference between Ds_min and En_max. Multiply that by your engagement length and by 30,000 psi for 6061-T6 or 48,000 psi for 7075-T651. A 1/4-20 at 0.375 inch of engagement in 6061-T6 comes out around 6,060 pounds.

When should you use a Heli-Coil instead of tapping aluminum directly?

When the available depth is less than the calculated minimum engagement, when the joint will be taken apart repeatedly, or when a high strength fastener would otherwise strip the parent threads. A coil insert carries load at the larger STI diameter, so a 1.5 diameter insert typically pulls out at roughly the same or higher load than 2 diameters of directly tapped 6061. It also gives you a repairable joint, which is worth more than the strength on service parts.

How many threads of engagement do you need in 6061?

For a 1/4-20 in 6061-T6 with a Grade 5 bolt, about 7 to 8 full threads, which is 0.36 inch or 1.4 diameters. For a 10-32 in the same material, about 10 to 11 threads. Counting threads is less reliable than counting diameters, because a fine pitch gives you more threads in the same depth without proportionally more shear area. Design to a multiple of diameter, then check the pull-out load.

What is the STI tap drill size for a Heli-Coil?

The STI tap drill is approximately the nominal fastener diameter plus one thread pitch, then rounded up to the nearest standard drill. A 1/4-20 needs 0.295 inch, which is a letter M drill. A 10-24 needs 0.234 inch, which is a letter A. A 3/8-16 needs 7/16 inch, and a 1/2-13 needs 37/64 inch. Drill the hole at least the insert length plus half a diameter deep so the STI tap lead does not bottom out.

Is 7075 stronger than 6061 for tapped holes?

Yes, by roughly 60 percent. 7075-T651 has an ultimate shear strength around 48,000 psi against 30,000 psi for 6061-T6, so the same tapped hole holds about 1.6 times the pull-out load, and you need about a third less engagement depth for the same fastener. The catch is that 7075 is not weldable, is more susceptible to stress corrosion cracking in the T651 temper, and costs roughly twice as much per pound.

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