Two words: Managing Expectations. If you do every task as fast as you can for everyone who requests it, you will train your users to expect instant gratification from you and will demand it each time. You have to train your users what to expect from you and how fast to expect it. This is done by simply by managing how fast you do things for them. Your goal will be to manage all tasks before you with time and thought put into managing what is priority and what can wait until tomorrow. The article makes it sound like you are fairly new to the job market in general and so also are probably working longer hours for less pay than a standard person in the industry. One IT person for 60 users sounds pretty dubious. Regardless of how well you manage your time I suspect you could use a helping hand.
Make sure you manage your life and health first, (sleep 7 hours a day and don't skip lunch like a maniac) then prioritize tasks in a way that when someone asks you to do something, you can give them a reasonable timeframe for completion, even if it is not the same day or week. I've found people are much more comfortable waiting for their project to be complete if they can rely on the deadline being met. If you say it can be done by the end of the day, but then you don't get it done that day or the next day, you're training your users that you are unreliable and they will have to hounmd you to get their requests completed. Many an admin fall into this trap, which they set for themselves, which usually ends up eating into personal time (ie those weekday midnight sessions alone in the office).
Remember you're the one in the control of the solutions you are providing, so you're ultimately responsible for getting them done correctly and done in a reasonable timeframe. When managing your time properly, if you cannot get all of your work done in a reasonable timeframe, it is also your responsibility to escalate to your boss that changes need to be made to the system. Either hiring someone to help (bosses rarely like this one) or fewer users are allowed access to you (although if you're the only one available who can replace a broken keyboard or something else very minor, they don't really have a choice.) It's summertime, time to pick up some cheap/free summer interns. Bosses love the word 'free'.