Disclosed is an assembly comprising a clamp, strap and rod. The strap is provided for suspending a load from the rod and/or clamp. The clamp comprises a gripping part for gripping around the rod, enabling a clamping of the clamp on the rod. The strap engages with the clamp along a first and second contact line. Two adjacent strap parts form an angle around the first contact line. When a load is suspended from the strap, the strap exerts a force on the clamp at the first contact line, pushing the clamp at the first contact line in a closing direction, pressing the gripping part against the rod. The gripping part is resilient and provided with a pretension for pressing against the rod when no load is suspended from the strap. Further disclosed are lifting aids using the clamp for lifting/repositioning patients with physical limitation.