Will additional pushups be overworking my muscles?

Strengthening exercises are the traditional "body-building" exercises that build stronger muscles. Squeezing , lifting weights, and doing push-ups or pull-ups are examples. Strengthening exercises are only one part of a beneficial exercise problem, however. These exercises can be very helpful in improving function in a particular body part after surgery (for example, knee surgery) where it's necessary to rebuild strength. They also help to strengthen your bones, since bones react to stress by becoming stronger; they can help strengthen bones even at advanced ages. And good luck.