JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="//netdna.bootstrapcdn.com/bootstrap/3.1.1/css/bootstrap.min.css">
<script src="//netdna.bootstrapcdn.com/bootstrap/3.1.1/js/bootstrap.min.js"></script>
<!-- Begin Navbar -->
<div id="nav">
  <div class="navbar navbar-default navbar-static">
    <div class="container-fluid">
      <div id="brand" class="brand" href="/"></div>
      <!-- .btn-navbar is used as the toggle for collapsed navbar content -->
      <a class="navbar-toggle" data-toggle="collapse" data-target=".navbar-collapse">
        <span class="glyphicon glyphicon-bar"></span>
        <span class="glyphicon glyphicon-bar"></span>
        <span class="glyphicon glyphicon-bar"></span>
      </a>
      <div class="navbar-collapse collapse">
        <ul class="nav navbar-nav">
          <li class="active"><a href="#">Home</a></li>
          <li class="divider"></li>
          <li><a href="#">Link</a></li>
          <li><a href="#">Link</a></li>
        </ul>
        
      </div>		
    </div>
  </div><!-- /.navbar -->
</div>
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CSS

#nav.affix {
    position: fixed;
    top: 0;
    width: 100%;
    z-index:10;
    background: rgb(255, 255, 255) transparent;
    background: rgba(255, 255, 255, 0.8);
}
.brand {
    display: none;
    height: 50px;
    width: 230px;
    background: url(http://static.tumblr.com/bw1wxme/rOYn2c6na/logo-small.jpg) no-repeat left center;
}

#nav.affix #nav-img {
   display:inline-block;
}

#sidebar.affix-top {
    position: static;
}

#sidebar.affix {
    position: fixed;
    top: 180px;
}

JavaScript

$('#nav').affix({
      offset: {
        top: $('header').height()
      }
});	

$('#sidebar').affix({
      offset: {
        top: 500
      }
});	

$(window).scroll(function(){
   var height = $(this).scrollTop();
    if (height > 100){
         $('#brand').show();   
    }
    else {
      $('#brand').hide();   
    }
});