Strength increases and progressing - calculations
I recently did an informal survey of published scientific papers looking at strength gains from resistance training programs in (intermediate) trained males. Most studies included men who had at least 1-2 years of resistance training experience (as evidenced by the average initial bench press 1RM across all studies being 95kg).Â
Findings
In all, I included 34 studies, which gave before and after values for the bench press 1RM (1 rep max). Because these studies were testing many different hypotheses, such as length of rest interval, periodisation, or the effects of dietary supplements, I decided for simplicity to just average the values of all included groups that performed resistance training. Also, the sample sizes didnât vary much, usually only about 6-15 people, so I just averaged the study without standardizing for sample size. So this is not a formal meta-analysis by any means.
Overall, I found that bench press 1RM increases by about 1% per week. This means if somebody had a 100kg bench press 1RM at the start of a 10-week study, after 1 week their bench press would have gone up on average to 101kg. After the 10-week study finished, their bench press 1RM would be 110kg.
Implications for training
I think this might be useful to inform what is a realistic rate of progression in weight training. Based on the various estimates for how 1RM translates to other intensities, your 10RM (10 rep max) is about 75% of your 1RM. This means the person with a 100kg bench press 1RM would have been able to do 10 reps of 75kg on bench. By the end of the 10 weeks, with a 110kg bench press 1RM, they would have been able to do 10 reps of 83kg (as 83kg is now 75% of their 1RM). So they have added 8kg over 10 weeks to their 10RM. As 75kg is now just 68% of their new 1RM, they would have been able to put out about 12 reps at 75kg. That is, they added about 1 rep every 5 weeks to their 75kg bench press.
Obviously this is a very rough estimate. Strength increases arenât going to translate directly to the endurance required for higher rep ranges, and may not increase perfectly linearly. And these results are only for bench press, the percentage increase might not be the same for other exercises. And as all studies were of men, I have no idea what this implies for women.
Implications for bodyweight training
Itâs a bit trickier to do this for bodyweight exercises, but not impossible, because you donât really need to know the actual weight youâre lifting to estimate how much more strength you need to add a rep (as long as we assume the weight is roughly constant). In the 5-12 rep range, each additional rep requires you drop the weight by 2-3% of your 1RM, and the weight you lift is around 60-85% of your 1RM. If you keep the weight constant then, you need to increase your 1RM by 2-3% divided by 0.6-0.85, so between 2.5 and 3.5% roughly. This means you donât actually need to know the weight youâre lifting to know how much it should progress in percentage terms. For example, if you can do only 6 reps of an exercise, then youâre lifting 0.85*Xkg, where Xkg is your current 1RM. To do 7 reps, 85*Xkg needs to be 0.83*Ykg, where Y is your new 1RM. So 0.85*X=0.83*Y, which means Y=1.024*X, or a new 1RM that is 102.4% of your current 1RM. If you repeat that at a higher rep range, say 9 to 10 reps, you get 0.75*X=0.77*Y, so 102.6% of current 1RM. So a general rule of thumb is that in the 5-10 rep range, to progress to doing one extra rep requires you increase your 1RM by about 2.5%.
Given we know that increasing your 1RM happens at about 1% per week, it would take about 2 to 3 weeks for you to add another rep to your exercise if you keep the resistance (i.e. bodyweight and exercise form) constant. Any progression scheme requiring you to add reps faster than this is too optimistic (if itâs saying you should be training to failure each set, at least).
Progressing bodyweight training by adding weight
If you can estimate how much weight youâre lifting, you can possibly add weights to your body to progress instead of adding reps. This might allow for much finer control over progression. For instance, if you are doing pullups, youâre lifting everything but your arms, which is about 88% of your bodyweight (if youâre male, 90% if youâre female). If you can do 9 pullups, that means your 1RM is about (1/0.77)*10RM, where 10RM is 0.88*bodyweight. If you weigh 80kg, then your 1RM is 91.5kg. Each week, you might be expecting to increase that 1RM by 1%, or 0.9kg. You could add 77% of that increase to your 1RM, or 0.7kg, to your pullups each week and still do 9 reps. Thus, instead of having to wait 2-3 weeks to progress by adding another rep, you can progress every week by adding a small amount of weight.
You could even do a hybrid of the two strategies, by adding weights until youâve improved your 1RM by about 2.5 to 3% to allow you to add a rep when you remove the weights.
Irrelevant stuff that I found interesting when researching the above
For interestâs sake, a recent paper by  Eckel et al 2017 found that when men with an average 100kg 1RM on bench press do a pushup, their upper body supports about 74% of their bodyweight (averaged across the up and down positions, which were 72% and 76% respectively). They could also do about 24 pushups until they fatigued. For women with an average 42kg 1RM on bench, a pushup involved pushing 70% of their bodyweight (66% in up position, 73% in down position)). The value is lower for women likely because women carry relatively more weight around their hips than their torso than men do. They could do just 11 pushups before they fatigued.













