Replacement of a Force by a Force and Couple:
Let a force F working at point O1. Suppose two equal and opposite forces F parallel to the given force acting at O2 as illustrated in Figure
![1158_Replacement of a Force by a Force and Couple.png](https://www.expertsmind.com/CMSImages/1158_Replacement%20of%20a%20Force%20by%20a%20Force%20and%20Couple.png)
These two additional forces do not visibly alter the system. Now the new system is equal to a force F acting at O2, plus a couple of moment M = F × d.