Final answer:
To find the equivalent resultant force, follow these steps: determine the system of interest, draw a free body diagram, apply Newton's second law for rotational motion, calculate the resultant force, and check the solution.
Step-by-step explanation:
To replace the force and couple moment system acting on the beam with an equivalent resultant force, we need to find the vector sum of all the forces acting on the beam. Here are the steps:
- Determine the system of interest.
- Draw a free body diagram and label all external forces.
- Apply Newton's second law for rotational motion to find the torque about the point of rotation.
- Calculate the resultant force by finding the vector sum of all the forces.
- Check the solution for reasonableness.