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We investigate a self-avoiding polymer chain anchored with one end at a hard wall. The chains are modeled using the continuous backbone mass model. The sampling of the conformations is done by molecular dynamics for chains of various sizes. Presented are results for several dierent interesting situations. We have investigated the pressure that grafted chains of various sizes exert on the wall and nd good agreement with the theory, if the theory is extended to the self-avoiding case using the standard scaling laws. Force-elongation simulations are compared to polymer theory and the partition function for a grafted ideal chain is explicitly calculated. Again we nd good agreement with the theory