Client sessions in Web applications are organized as transactions involving requests that read and write shared data. Executing concurrently, these sessions may invalidate each other s data. The advent of Linked Data is spurring the deployment of applications that use the RDF data model at the information tier. In addition to querying RDF data, there is also the requirement for online updates with suitable concurrency control. This work presents a locking model, inspired by the multigranularity locking protocol, to address isolation between transactions that manipulate RDF data, considering four concurrency-related issues, namely: lost updates, dirty reads, non-repeatable reads and phantom reads. Four hierarchically related granules are offered, as well as new read and write lock modes, specifically created for the RDF data model. Finally, the performance assessment of the proposed locking model is done through simulation.