If you have had multiple knee surgeries for various knee problems you can get social security benefits depending on certain social security rules.
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If you are under 50 years of age your chances of getting benefits are harder since you have to show that your ability to walk is quite severely affected. On the other hand, if you are over 50 years of age you can be less limited in your walking ability and still get benefits. Social security has rather complex rules which also take into consideration your past working history and level of eductation.
Many individuals also have other medical problems when applying for disability and these should also be mentioned by you when applying; examples would be a bad back, headaches, foot problems and mental issues such as depression.
These additional problems may make a difference and improve your chances of success.
You should also asked your main treating doctor, usually your orthopedist for his opinion as to how disabled you are by your knee problems. This should be a part of your medical record which will be reviewed by medical specialists at the state disability office.