diff --git a/README.md b/README.md
index 0d3a398..01bf6b9 100644
--- a/README.md
+++ b/README.md
@@ -91,5 +91,8 @@ UK Atomic Energy Authority
 Alexander Whittle,
 UK Atomic Energy Authority
 
+Bill Ellis,
+UK Atomic Energy Authority
+
 Pranav Naduvakkate,
 UK Atomic Energy Authority
diff --git a/include/constraints/RBEConstraint.h b/include/constraints/RBEConstraint.h
new file mode 100644
index 0000000..7f24e21
--- /dev/null
+++ b/include/constraints/RBEConstraint.h
@@ -0,0 +1,17 @@
+#pragma once
+#include "NodalConstraint.h"
+
+class RBEConstraint : public NodalConstraint
+{
+  public:
+    static InputParameters validParams();
+    RBEConstraint(const InputParameters & parameters);
+
+  protected:
+    virtual Real computeQpResidual(Moose::ConstraintType type) override;
+    virtual Real computeQpJacobian(Moose::ConstraintJacobianType type) override;
+    std::string _primary_node_set_id;
+    std::string _secondary_node_set_id;
+    Real _penalty;
+    Real _primary_size;
+};
diff --git a/src/constraints/RBEConstraint.C b/src/constraints/RBEConstraint.C
new file mode 100644
index 0000000..f425e6b
--- /dev/null
+++ b/src/constraints/RBEConstraint.C
@@ -0,0 +1,108 @@
+#include "RBEConstraint.h"
+#include "MooseMesh.h"
+
+registerMooseObject("ProteusApp", RBEConstraint);
+
+InputParameters
+RBEConstraint::validParams()
+{
+  InputParameters params = NodalConstraint::validParams();
+  params.addClassDescription(
+    "Constrains secondary node to move as a linear combination of primary nodes. "
+    "Implementation of a Rigid Body Element Constraint");
+  params.addRequiredParam<BoundaryName>("primary_node_set",
+    "The boundary ID associated with the primary nodes.");
+  params.addRequiredParam<BoundaryName>("secondary_node_set",
+    "The boundary ID associated with the secondary node.");
+  params.addRequiredParam<Real>("penalty", "The penalty used for the boundary term.");
+  params.addRequiredParam<Real>("primary_size", "The number of nodes in the primary node set.");
+  return params;
+}
+
+RBEConstraint::RBEConstraint(const InputParameters & parameters)
+  : NodalConstraint(parameters),
+    _primary_node_set_id(getParam<BoundaryName>("primary_node_set")),
+    _secondary_node_set_id(getParam<BoundaryName>("secondary_node_set")),
+    _penalty(getParam<Real>("penalty")),
+    _primary_size(getParam<Real>("primary_size"))
+{
+  const auto & lm_mesh = _mesh.getMesh();
+
+  // Get secondary nodes
+  std::vector<dof_id_type> nodelist =
+    _mesh.getNodeList(_mesh.getBoundaryID(_secondary_node_set_id));
+  std::vector<dof_id_type>::iterator in;
+
+  for (in = nodelist.begin(); in != nodelist.end(); ++in)
+  {
+    const Node * const node = lm_mesh.query_node_ptr(*in);
+    if (node && node->processor_id() == _subproblem.processor_id())
+      _connected_nodes.push_back(*in);
+  }
+
+  // Get primary nodes
+  std::vector<dof_id_type> primary_nodelist =
+    _mesh.getNodeList(_mesh.getBoundaryID(_primary_node_set_id));
+
+  const auto & node_to_elem_map = _mesh.nodeToElemMap();
+
+  for (in = primary_nodelist.begin(); in != primary_nodelist.end(); ++in)
+  {
+    auto node_to_elem_pair = node_to_elem_map.find(*in);
+    if (node_to_elem_pair == node_to_elem_map.end())
+      continue;
+
+    _primary_node_vector.push_back(*in);
+    const std::vector<dof_id_type> & elems = node_to_elem_pair->second;
+    for (const auto & elem_id : elems)
+    {
+      _subproblem.addGhostedElem(elem_id);
+    }
+  }
+  _weights = std::vector<Real>(_primary_size, 1.0/_primary_size);
+}
+
+Real
+RBEConstraint::computeQpResidual(Moose::ConstraintType type)
+{
+/*
+Secondary residual is u_secondary - weights[1]*u_primary[1]
+                      - weights[2]*u_primary[2] - u_primary[n]*weights[n]
+However, computeQpResidual is calculated for only a combination of one
+primary and one secondary node at a time.  To get around this, the residual is
+split up such that the final secondary residual resembles the above expression.
+*/
+  unsigned int primary_size = _primary_size;
+
+  switch (type)
+  {
+    case Moose::Primary:
+      return (_u_primary[_j] * _weights[_j] - _u_secondary[_i] / primary_size)
+             * _penalty;
+    case Moose::Secondary:
+      return (_u_secondary[_i] / primary_size - _u_primary[_j] * _weights[_j])
+             * _penalty;
+  }
+  return 0;
+}
+
+Real
+RBEConstraint::computeQpJacobian(Moose::ConstraintJacobianType type)
+{
+  unsigned int primary_size = _primary_size;
+
+  switch (type)
+  {
+    case Moose::PrimaryPrimary:
+      return _penalty * _weights[_j];
+    case Moose::PrimarySecondary:
+      return -_penalty / primary_size;
+    case Moose::SecondarySecondary:
+      return _penalty / primary_size;
+    case Moose::SecondaryPrimary:
+      return -_penalty * _weights[_j];
+    default:
+      mooseError("Unsupported type");
+  }
+  return 0;
+}