JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="//maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css">
<script src="//maxcdn.bootstrapcdn.com/bootstrap/3.3.2/js/bootstrap.min.js"></script>
<div class="panel">
        <div class="panel-heading"> <span class="panel-title"><i class="icon-user"></i>&nbsp;&nbsp;Training Team</span><button type="button" name="addProjectMember" class="btn btn-mini pull-right"><i class="icon-plus"></i>&nbsp;&nbsp;Add Project Member</button></div>
        <div name="trainingTeamBody" style="display:none;" class="panel-body">
        <span name="teamError"><br><div class="alert alert-warning"><center>No Project Members Assigned</center></div></span>
           <table name="teamTable" class="table table-hover borderless" style="display: none;">
              <thead>
                 <tr>
                    <th><small>Member</small></th>
                    <th><small>Role</small></th>
                    <th><small>Supervisor</small></th>
                    <th><small>Date Assigned</small></th>
                    <th><small>Who Assigned</small></th>
                    <th><small>Action</small></th>
                 </tr>
              </thead>
              <tbody name="teamTableResults"></tbody>
           </table>
        </div>
     </div>

CSS

.borderless tbody tr td, .borderless tbody tr th, .borderless thead tr th {
    border: 0 !important;
}
.panel {
    border: 0 !important;
}

.table > thead > tr > th, .table > thead > tr > td {
    border: 0 !important;
}
panel {
  padding: 15px;
  margin-bottom: 20px;
  background-color: #ffffff;
  border-radius: 4px;
  -webkit-box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
  box-shadow: 0 1px 1px rgba(0, 0, 0, 0.05);
}

.panel-heading {
  padding: 10px 15px;
  margin: -15px -15px 15px;
  font-size: 17.5px;
  font-weight: 500;      
  background-color: #f5f5f5;
  border-bottom: 1px solid #dddddd;
  border-top-right-radius: 3px;
  border-top-left-radius: 3px;
}

.panel-footer {
  padding: 10px 15px;
  margin: 15px -15px -15px;
  background-color: #f5f5f5;
  border-top: 1px solid #dddddd;
  border-bottom-right-radius: 3px;
  border-bottom-left-radius: 3px;
} 

.panel-primary {
  border-color: #428bca;
}

.panel-primary .panel-heading {
  color: #ffffff;
  background-color: #428bca;
  border-color: #428bca;
}