I would strongly caution you about using ASCE Salary data, it's similar to the H-1B requirements in that it's bloated toward the high end and usually lumps all the sub disciplines of Civil into one area. Typically of the sub disciplines, structural building design ranks on the lower end of the spectrum while bridge design on the high end and this throws off results significantly.
If I were to use the ASCE Calculator at my position and experience I should be making tons more than I do, however it's not even close to reasonable, and I'm one of the principals in the company.
Things to consider while asking for a raise:
Bill rates are typically 2.5x to 3x your cost rate. Are you in this range, if so a promotion is more in line to get a raise, but this comes with greater responsibility? This is a slippery slope for companies as you cannot just promote everyone when they should be, structural engineering tends to rely on a hierarchy where the principals bring in the work for multiple PM's and then the PM's have multiple engineers and drafters below them that actually do the engineering work. Principals and PM's are more paper pushers and rarely do much engineering calculations due to their other responsibilities; additionally if the employers becomes too "top heavy" nothing will get done, profits will sink and the company will have to restructure or reduce salaries all around, unfortunately the nature of this business.
Are you profitable, or do you go over budget on projects? Being profitable is a big component of making an argument for a raise. Do you use a software, like Ajera or similar that can show your utilization rate (keep in mind this is an approximation as it doesn't account for overtime you put in off the clock to meet deadlines, etc..) I recommend looking at budgeted hours versus spent hours on as many projects as you can (that you have completed) and see how this compares, early on budgeted hours tend to appear to be inadequate and in many cases can be, however that may be the going rate for that type of project base on competition and other factors. And let's be honest, few here probably believe the fees are what they should be.
Are you consistently busy, or are there periods where you have nothing to do? Not being consistently busy could mean your utilization rate drops due to inadequate work load in the company. This would result in lower pay.
Does your company pay overtime? Many companies do not provide this as we are salaried employees, but if your company does, this eats into profit that is used for salary increases.
Is your company top heavy? Industry standard tends to be the following breakdown (for small to medium sized employers): Per office: (1) Principal, (1) PM's per (3) Sr. or Jr. engineering staff and (1) drafter per (3) or (4) engineers. If your company has more principals and or PM's then there is a chance that the company is top heavy and cannot afford to pay it's employees adequately as there is too much waste up the chain. Please note that this is not true for all companies and tends to be more of an observation in my area.
Do you work on specialized types of projects? Specialized work tends to pay more; there are exceptions here of course.
Are there selling points based on your knowledge; things you know and use frequently that make you stand out? Knowing certain software or engineering methods that others don't could make you more valuable. ie. There was a time in my former company where I was the only one left that knew how to use RAM Structural correctly and how to address all (all that we had encountered at that point) the "errors and warnings" and where all the "gotcha's" were.
At my previous employer, I went into a meeting knowing all the data for the company, including company profits (estimated based on available data at the time) and my profitability, including utilizations, overages on projects, finishing projects early, etc.. and managed to negotiate a raise at the same position in excess of 30k (woefully underpaid before this raise), I stuck around for another 3 years before I left to start a firm.