The 'normal' servo motor that can be connected to the Arduino are small.
This info could be useful, Linear Actuator, Servo, ESC, Leonardo - #10 by system - Project Guidance - Arduino Forum
For stronger servo motors, specific driver modules are needed. Not all of those can be connected to the Arduino. Many times a DC motor with a gear is used and some kind of simple feedback.
Could you make a drawing of what you want to achieve ?