Your flex container has no extra height. The only height is the height of the content. Therefore, there is no space for vertical centering.
First step, add some height:
.row-centered {
display: flex;
height: 100vh;
}
Second step, remove unnecessary rules, some of which are preventing vertical alignment.
.col-centered {
display: flex;
flex-direction: column;
/* align-self: flex-start;
float: none;
margin-right: 0 auto; */
}
.row-centered {
display: flex;
height: 100vh;
}
.col-centered {
display: flex;
flex-direction: column;
}
.us-container {
display: flex;
justify-content: center;
align-items: center;
}
<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" />
<section id="us" class="container-fluid">
<div class="row row-centered us-container">
<div class="col-sm-8 col-md-8 col-xs-8 col-centered ">
<p class="text-justify">blah blah blah blah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah
blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blahblah blah blah</p>
<h3 class="text-center">blah blah blah</h3>
</div>
</div>
</section>
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