bootstrap 3 - how do I place the brand in the center of the navbar?

I am using Bootstrap 3. I would like a navbar with only the brand in it. No other links or anything else. And I want the brand to be in the center. How can I accomplish this? The following css doesn't work:

.navbar-brand {
    text-align: center;
}

css:

.navbar-header {
    float: left;
    padding: 15px;
    text-align: center;
    width: 100%;
}
.navbar-brand {float:none;}

html:

<nav class="navbar navbar-default" role="navigation">
  <div class="navbar-header">
    <a class="navbar-brand" href="#">Brand</a>
  </div>
</nav>

Use these classes: navbar-brand mx-auto

All other solutions overcomplicate the matter.

Another option is to use nav-justified..

<nav class="navbar navbar-default" role="navigation">
  <div class="navbar-header">
    <button type="button" class="navbar-toggle" data-toggle="collapse" data-target=".navbar-collapse">
      <span class="icon-bar"></span>
      <span class="icon-bar"></span>
      <span class="icon-bar"></span>
    </button>    
  </div>
  <div class="navbar-collapse collapse">
    <ul class="nav nav-justified">
      <li><a href="#" class="navbar-brand">Brand</a></li>
    </ul>
  </div>
</nav>

CSS

.navbar-brand {
    float:none;
}

Bootply

Alternate example

If you have no other links, then there is no use for navbar-header....

HTML:

<nav class="navbar navbar-inverse navbar-static-top">
    <div class="container">
     <a class="navbar-brand text-center center-block" href="#">Navbar Brand</a>
  .....
</nav>

CSS:

.navbar-brand {
  float: none;
}

However, if you do want other links here's a very effective approach that allows that: https://stackoverflow.com/a/34149840/3123861