Good health and safety risk management involves the identification of hazards and assessment of risk (by those who create the risk), so that existing or the proposed control measures can be assessed for adequacy.
The key question for those responsible for assessing and managing risk should be "are the existing controls adequate?". If the answer to that question is "NO" then further controls need to be developed and applied.
Risk Assessments, wherever possible, should include appropriate engagement with, and involvement of, relevant members of staff and students. Local input should be sort from any union appointed Health and Safety Representatives.
The role of the Health and Safety team is to provide advice on how to carry out and document risk assessments, but not to carry out or approve such assessments.