Unable to stand would be better. Other possibilities include: not holding or unable to hold or failing to hold not supporting or unable to support or failing to support unable to withstand ( not withstanding could be misunderstood here)
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messier42I attached the hook on the bathroom door. Afterwards, I hung the towel onto the hook but it came off the door, not standing the weight of the towel.I don't think it would normally be phrased that way at all.