How muscle force work? If muscle works with force on joint and joint works with exact force on muscle(newton III law) how can muscle drag much heavier weight than itself?

 A: Short answer:
It is a combination of the lever/pulley principle plus the transformation of chemical energy into mechanical energy which makes the muscle/weight system work like this.
Longer Answer:
The arm joints are small levers or pulleys, meaning the amount of force can be multiplied by the relative lenghts of arm joints.
The chemical/thermal energy of food is transformed into mechanical motion by specific muscle cells which expand and contract.
These two combined make the effect of lifting a weight which can be (relatively) bigger than the arm.
An additional element is the initial inertia (or initial static friction) of a load, muscles can do an explosive action which can generate a large amount of energy in small amount of time to overcome initial inertia of a load, then less energy/force is needed to keep the weight moving or lifting.
This is usually exploited (among other things) in heavy-weights lifting. If one can see olympic games weight-lifting, one can see great athletes do this explosive action and then lift easier the weight.
Plus in heavy-weight-lifting, athletes lift the weight with their feet and not with their hands. They do an explosive action, lift a weight  just high enough so they can get underneath and use their (stronger) feet to lift the weight.
Feet are stronger than arms (both longer thus the lever principle can be stronger, plus have more muscles), however same principles apply in different measure
