JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="http://twitter.github.com/bootstrap/assets/css/bootstrap.css">
<script src="https://raw.github.com/imsky/holder/master/holder.js"></script>
<link rel="stylesheet" href="http://twitter.github.io/bootstrap/assets/css/bootstrap-responsive.css">
<div class="navbar navbar-inverse navbar-fixed-top" >
      <div class="navbar-inner">
        <div class="container-fluid">
          <button type="button" class="btn btn-navbar" data-toggle="collapse" data-target=".nav-collapse">
            <span class="icon-bar"></span>
            <span class="icon-bar"></span>
            <span class="icon-bar"></span>
          </button>
            <a class="brand" href="#"><img src="http://mkowalczyk.webfabryka.pl/wp-content/themes/Kancelaria/images/logo.png"></a>
          <div class="nav-collapse collapse  container" >

              <ul class="nav">
                  <li class="active">
                      <a href="#">Home</a>
                  </li>
              </ul>

           
          </div>
        </div>
      </div>
    </div>

CSS

.navbar .brand {
    position: fixed;    
    overflow: visible;
    padding-left: 0;    
    
}