Bootstrap full responsive navbar with logo or brand name text
I would like to do a full responsive navbar with specified height in Twitter Bootstrap 3.1.1, where the brand could consists of image (logo) or text.
html:
<nav class="navbar navbar-inverse navbar-fixed-top" role="navigation">
    <div class="container">
        <div class="navbar-header">
            <button type="button" class="navbar-toggle" data-toggle="collapse"
                    data-target="#bs-example-navbar-collapse-1">
                <span class="sr-only">Toggle navigation</span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
            </button>
            <a class="navbar-brand" href="#">
                <img src="http://placehold.it/150x50&text=Logo" alt="">
            </a>
        </div>
        <div class="collapse navbar-collapse" id="bs-example-navbar-collapse-1">
            <ul class="nav navbar-nav navbar-right">
                <li><a href="#">About</a></li>
                <li><a href="#">Services</a></li>
                <li><a href="#">Contact</a></li>
            </ul>
        </div>
    </div>
</nav>
css:
body {
    margin-top: 125px;
}
.navbar-fixed-top .nav {
    padding: 15px 0;
}
The problem is that after the browser's window size is decreased and menu is collapsed, navbar returns to its original height and logo image is as below:
 The other problem is that changing <img src="http://placehold.it/150x50&text=Logo" alt=""> into <h3>AppName</h3> makes that AppName is not in the middle:  
Currently it is centered by setting padding values, but I do not know how to make it independent from it.
Does anyone could help me solve this problem?
Regards
EDIT:
Here are prepared images of effect that I want to achieve:
not collapsed navbar with logo image:
collapsed navbar (the same height of navbar, the same size of image, but different width od navbar):
not collapsed navbar with brand name text:
collapsed navbar (everything is the same except width of navbar caused by changing browser's window width):
 If you want to achieve this (you can resize the window to see how it will look for mobile version), all you have to do is to have 2 logo images (1 for desktop and one for mobile) and display them depending of the enviroment using visible-xs and hidden-xs classes.  
So i used something like this:
<img class="hidden-xs" src="http://placehold.it/150x50&text=Logo" alt="">
<img class="visible-xs" src="http://placehold.it/120x40&text=Logo" alt=""> 
And ofcourse, i styled the mobile logo using:
@media (max-width: 767px) { 
    .navbar-brand {
        padding: 0;        
    }
    .navbar-brand img {
        margin-top: 5px;
        margin-left: 5px;
    }
}
 You can see all the code here.  In case you need a text on mobile version insted of the logo, it's not a big deal.  Just replace the logo with a <h1 class="visible-xs">AppName</h3> and change the style inside the media query like this:  
@media (max-width: 767px) { 
    .navbar-brand {
        padding: 0;        
    }
    .navbar-brand h1{
        //here add your style depending of the position you want the text to be placed
    }
} 
EDIT:
You need this conditions to make it work:
.navbar-toggle {
   margin: 23px 0; 
}
.navbar-nav, .navbar-nav li, .navbar-nav li a {
  height: 80px;
  line-height: 80px;
}
.navbar-nav li a {
  padding-top: 0;
  padding-bottom:0;
}
 Best approach to add a brand logo inside a navbar-inner class and a container.  About the <h3> issue <h3> has a certain padding given to it in bootstrap as @creimers told.  And if you are using a bigger image, increase the height of navbar too or the logo will float outside.  
<nav class="navbar navbar-inverse navbar-fixed-top" role="navigation">
<div class="navbar-inner"> <!--changes made here-->
    <div class="container">
        <div class="navbar-header">
            <button type="button" class="navbar-toggle" data-toggle="collapse"
                    data-target="#bs-example-navbar-collapse-1">
                <span class="sr-only">Toggle navigation</span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
                <span class="icon-bar"></span>
            </button>
            <a class="navbar-brand" href="#">
                <img src="http://placehold.it/150x50&text=Logo" alt="">
            </a>
        </div>
        <div class="collapse navbar-collapse" id="bs-example-navbar-collapse-1">
            <ul class="nav navbar-nav navbar-right">
                <li><a href="#">About</a></li>
                <li><a href="#">Services</a></li>
                <li><a href="#">Contact</a></li>
            </ul>
        </div>
    </div>
</div>
</nav>
 The placeholder image you're including has a height of 50px .  It is wrapped in an anchor (.navbar-brand) with a padding-top of 15px and a height of 50px .  That's why the placeholder logo flows out of the bar.  Try including a smaller image or play with the anchor's padding by assigning a class or an id to it wich you can reference in your css .  
 EDIT Or remove the static height: 50px from .navbar-brand .  Your navbar will then take the height of its highest child.  
 h3 in bootstrap by default has a padding-top of 20px .  Again, it is wrapped with that padding-top: 15px anchor.  That's why it's not vertically centered like you want it.  You could give the h3 a class or and id that resets the margin-top.  And the same you could do with the padding of the anchor .  
Here's something to play with: http://jsbin.com/jelec/1/edit?html,output
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