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Durable backpack that won't rip if carried on one shoulder

I'm looking for a backpack that I can use to schlepp all my stuff around while hiking and taking buses around the country (and possibly out of it).

Every backpack I've used so far has eventually ripped due to the weight of the stuff I carry around, so I'm looking for something extremely durable. Preferably not too expensive, but that's going to be hard to find.

I need to carry roughly 20–25kgs of stuff, including a laptop + charger and a water bottle, clothes, etc.  

Waterproof would be ideal but not necessary, as well as several different compartments for keeeping things separate.

I tend to carry my backpack hanging off of my right shoulder. (My left shoulder tends to have my beret on my military uniform at the moment.) This means that the weight is concentrated on that right shoulder strap, and that's been the first thing to rip with my backpacks. This probably means that I need a backpack that can handle double the weight I carry around, because they're assuming equal distribution, or something that's designed to withstand being carried on one shoulder.