Weighted Pull-Up 1RM from 8 Reps — Epley and Brzycki Estimate

If you can weighted pull-up 100 kg for 8 reps, your estimated one-rep max is 125.4 kg — the average of the Epley estimate (126.7 kg) and the Brzycki estimate (124.1 kg). That is the headline number, and the rest of this page shows exactly how it was calculated, what loads to train with at every percentage of it, and how far you should trust it.

The Weighted Pull-Up works the lats, biceps, and it is a bodyweight plus added load lift. The worked example uses a total load of 100 kg — body weight plus added weight — because the formulas need everything you are lifting. The worked example below uses a 8-rep set with 100 kg as the load — that is an assumption for illustration, not a prescription for you. Put your own weight and reps into the One Rep Max Calculator and the same two formulas will estimate your own max in seconds. The search term "1rm calculator" is searched an estimated 60,500 times a month (Semrush third-party estimate), which is why so many lifters look for this number — but the number is only useful if you know how it was worked out and what its limits are.

An estimated one-rep max matters because almost every serious strength programme is written in percentages of it. "Five sets of five at 80%" only means something if you know what 100% is, and testing a true one-rep max is risky, fatiguing and unnecessary for most lifters. A submaximal set of 8 reps gives you the number without the risk — provided you understand the limits of the formulas, which this page sets out honestly.

How to perform the weighted pull-up

Hang from the bar with a grip just outside shoulder width, brace your core, and pull your chest to the bar without swinging or kicking. Lower yourself under control over two to three seconds until your arms are straight, then pull again. The worked example uses total load — body weight plus added weight — because the formulas need everything you are lifting.

That technique standard matters for estimation as much as for safety. The formulas assume the set was taken close to failure with good, repeatable form. A set of 8 reps with two more reps left in the tank will underestimate your max, because the formulas assume those 8 reps were hard. If you stopped well short of failure, treat the estimate as a floor, not a ceiling. And if your technique broke down on the last rep, the set does not count for estimation purposes at all — re-test with a weight you can control for the full range.

Common mistakes on the weighted pull-up include kipping or swinging to gain momentum, cutting the range short at the top or the bottom, shrugging the shoulders up to the ears, and adding weight before strict bodyweight reps are solid. Each of these changes the number the formulas produce, so compare estimates only between sets done the same way — same depth, same tempo, same standard. A stricter set that gives a lower estimate is more useful than a sloppy set that gives a higher one.

Use the one-rep-max calculator for your own numbers

The worked example on this page uses 100 kg for 8 reps. Your numbers will be different, and the calculator does the same maths with them. Use the One Rep Max Calculator for this lift, or the general One Rep Max Calculator for any lift, and you will get the Epley estimate, the Brzycki estimate, their average, and the full training-percentage table for your own max.

For comparison, here are related one-rep-max pages — the same two formulas applied to different lifts and rep counts:

The formulas, shown and cited

Two published formulas estimate a one-rep max from a submaximal set. Both are shown here with their sources, and both are worked through with this page's numbers.

Epley (Epley 1985): 1RM = weight × (1 + reps ÷ 30)

Brzycki (Brzycki 1993): 1RM = weight × 36 ÷ (37 − reps)

Worked through for 100 kg × 8 reps on the weighted pull-up:

  • Epley: 100 × (1 + 8 ÷ 30) = 100 × 1.3 = 126.7 kg
  • Brzycki: 100 × 36 ÷ (37 − 8) = 100 × 36 ÷ 29 = 124.1 kg
  • Average of the two: (126.7 + 124.1) ÷ 2 = 125.4 kg (276 lb)

The two formulas agree to within 2.5 kg on this set. That agreement is itself useful information: when Epley and Brzycki land close together, the estimate is more trustworthy than when they diverge. Both formulas are still in their accurate range here. From sets of ten reps or fewer, Epley and Brzycki usually land within a few kilograms of each other, and the average of the two is a solid working estimate of your true one-rep max.

Neither formula is magic. Both were fitted to real lifting data, and both assume the set was taken close to failure with good technique. The gap between them grows as the rep count rises, which is why a 8-rep estimate should be read with the caution described in the limits section below. If you want to see how sensitive the estimate is to the load, the table below runs the same two formulas at three nearby loads for the same 8 reps.

Load × 8 reps Epley 1RM Brzycki 1RM Average 1RM
90 kg × 8 reps 114.0 kg 111.7 kg 112.9 kg
100 kg × 8 reps 126.7 kg 124.1 kg 125.4 kg
110 kg × 8 reps 139.3 kg 136.6 kg 137.9 kg

Read the table across, not down: a 10 kg change in the load you lift for 8 reps moves the estimated max by roughly the same amount, so small, honest improvements in the weight you can lift for 8 reps are real progress, even when the estimated max moves by only a few kilograms.

Training percentages for a 125.4 kg weighted pull-up max

Most programmes prescribe loads as a percentage of your one-rep max. The table below gives the load for every percentage from 50% to 100% of the 125.4 kg estimate, so you can read your working weights straight off it without doing the multiplication in your head between sets.

% of 1RM Load (kg) Load (lb)
50% 62.7 kg 138 lb
55% 69.0 kg 152 lb
60% 75.2 kg 166 lb
65% 81.5 kg 180 lb
70% 87.8 kg 194 lb
75% 94.1 kg 207 lb
80% 100.3 kg 221 lb
85% 106.6 kg 235 lb
90% 112.9 kg 249 lb
95% 119.1 kg 263 lb
100% 125.4 kg 276 lb

How those percentages are used in practice depends on the goal. Strength work lives at 85–95% of 1RM for sets of 1–5 reps, with long rests of three to five minutes. Hypertrophy work lives at 65–85% for sets of 6–12 reps, with rests of 60–120 seconds. Muscular endurance work lives at 50–65% for sets of 15 or more reps, with short rests. The same max produces all three training zones; what changes is the percentage and the rep count, not the lift.

A practical example: if your programme calls for five sets of five at 80% on the weighted pull-up, that is 100.3 kg for five reps, five times, with three minutes of rest between sets. If it calls for three sets of ten at 70%, that is 87.8 kg for ten reps, three times, with 90 seconds of rest. The table above is the only arithmetic you need; the programme supplies the sets, reps and rest.

What you should lift for other rep counts

The same estimated max can be turned back into a target load for any rep count, using the Epley formula in reverse. The table below shows the load that corresponds to the 125.4 kg estimate for each standard rep count. Use it when a programme asks for a set of a different size than the 8-rep set this page started from.

Reps Target load (kg) Target load (lb)
3 114.0 kg 251 lb
5 107.5 kg 237 lb
6 104.5 kg 230 lb
8 99.0 kg 218 lb
10 94.1 kg 207 lb
12 89.6 kg 197 lb
15 83.6 kg 184 lb
20 75.2 kg 166 lb

Two warnings apply to this table. First, the loads for 15 and 20 reps are the least reliable, because they are extrapolated furthest from a heavy set. Second, the table assumes the same technique standard throughout — if your form changes at higher reps, the numbers stop comparing cleanly. Even so, the table is useful for planning: it tells you that a set of 8 reps at around 99.0 kg and a set of 5 reps at around 107.5 kg are roughly the same effort, just expressed at different rep counts.

How to use the result, and how to progress safely

The weighted pull-up is the main vertical pulling lift. It is usually programmed for sets of 3–8 reps with added weight, or for higher reps at body weight, and it pairs naturally with a horizontal row in the same week.

Use the 125.4 kg figure as a planning number, not as a weight to attempt tomorrow. The safest way to use an estimated max is to base your training percentages on it for four to six weeks, then re-test with a fresh submaximal set and update the estimate. If the new set gives a higher estimate, your training weights go up; if it gives the same number, you have maintained; if it gives a lower number, you may be under-recovered and need a lighter week.

Progression should be small and regular. For the weighted pull-up, adding 1.25–2.5 kg of added weight to the bar when you complete all prescribed sets and reps is a sensible rule for most lifters. Doubling the jump because the estimate went up is a mistake — the estimate is an average of two formulas, and it carries error bars of several kilograms either way. Small jumps, repeated for months, are what build a large max; large jumps are what cause missed reps and injuries.

Warm up properly before any heavy set. For a weighted pull-up session, that means a general warm-up, then the empty bar or a light load, then 50% of your working weight for a few reps, then 70%, then your working sets — never jumping straight from the warm-up to a heavy load. And never test a true one-rep max alone, without spotters or safety bars. The whole point of estimating from a 8-rep set is that you never have to find out what your true max is by attempting it.

Recovery is part of the programme, not a break from it. The weighted pull-up stresses the lats, biceps, and those muscles need 48–72 hours before they are trained hard again. Sleep, food and rest days are where the strength is actually built; the training session is just the stimulus. A lifter who adds weight to the bar every week while sleeping five hours a night will stall and then regress, and no formula can fix that. Strength training also needs enough food to support it: very-low-calorie diets undermine recovery and strength, and minimum safe intakes are 1,200 kcal/day for women and 1,500 kcal/day for men — never plan a diet below those floors without medical supervision.

What the number does NOT tell you

An estimated one-rep max is a useful number with clear limits. First, it is an estimate, not a measurement. Your true max can only be found by attempting a maximum lift, and the estimate can be off by 5–10% in either direction even from a good set. That is why the percentage table above should be treated as a guide: if 80% feels like 90% on the day, trust the feeling, not the table.

Second, the formulas assume good technique. A weighted pull-up performed with a shortened range of motion or momentum will produce a higher rep count than a strict set, and the formulas will reward that with an inflated max. Compare estimates only between sets done the same way. The estimate is still reliable from a set like this one, but treat it as a planning number rather than a precise measurement.

Third, a one-rep max says nothing about your health, your body composition or your overall fitness. It measures one thing — the most weight you can lift once in this movement — and a big number in one lift does not imply a big number in another, let alone general health. It also says nothing about injury risk: a lifter with a large estimated max and poor technique is closer to an injury than a lifter with a modest max and excellent technique.

Finally, the formulas are population tools. They were fitted to groups of lifters, and individuals vary. Some lifters are naturally better at high reps than at singles, and the formulas will underestimate their max; others are the opposite, and the formulas will overestimate. Over time you will learn your own pattern — whether your true max tends to sit above or below the estimate — and you can adjust your training percentages accordingly.

Frequently asked questions

What is my weighted pull-up 1RM if I lift 100 kg for 8 reps?

Using the worked example on this page: Epley gives 126.7 kg and Brzycki gives 124.1 kg, so the averaged estimate is 125.4 kg. That figure assumes the 8-rep set was taken close to failure with good technique. For your own weight and rep count, use the One Rep Max Calculator.

Which formula is better, Epley or Brzycki?

Neither is clearly better in general — that is why this page averages them. Epley (1985) tends to give slightly higher estimates at higher rep counts, while Brzycki (1993) is often a little more conservative. From sets of ten reps or fewer the two usually agree within a few kilograms, and the average is a sensible compromise. Above ten reps both become less reliable, and the gap between them — 2.5 kg on this page's set — is a warning sign rather than a detail to average away.

How accurate is a 1RM estimated from 8 reps?

Both formulas are still in their accurate range here. From sets of ten reps or fewer, Epley and Brzycki usually land within a few kilograms of each other, and the average of the two is a solid working estimate of your true one-rep max. The estimate is still reliable from a set like this one, but treat it as a planning number rather than a precise measurement. The estimate is best used to set training loads for a four-to-six-week block, then re-tested. It is not a substitute for a properly supervised max attempt if you genuinely need to know your true maximum, for example before a competition.

What weight should I train with for strength on the weighted pull-up?

Strength work is usually 85–95% of your estimated max. For a 125.4 kg max, that is 106.6 kg to 119.1 kg, for sets of 1–5 reps with three to five minutes of rest. For muscle growth, use 65–85% (81.5–106.6 kg) for sets of 6–12 reps. The full percentage table above covers every step from 50% to 100%.

Do I count my body weight in a weighted pull-up 1RM?

Yes — always. The total load is your body weight plus the weight hanging from your belt, and the formulas on this page use that total. An 80 kg lifter with 20 kg added is lifting 100 kg, not 20 kg, and entering only the added weight would produce a meaningless estimate. When your body weight changes, your total load changes too, so re-check the numbers rather than assuming last month's estimate still holds.

Related pages

Estimates only, not medical advice. Minimum safe intakes: 1,200 kcal/day women, 1,500 kcal/day men — consult a healthcare professional before a very-low-calorie diet.