Final answer:
To find the equivalent resultant force and its line of action on a frame, analyze the individual forces and use vector addition. The line of action of the resultant intersects member AB.
Step-by-step explanation:
To replace the loading acting on the frame by an equivalent resultant force and determine its line of action, we can use the principles of vector addition. First, we analyze the individual forces acting on the frame and find their resultant. Then, we find the point of intersection on member AB where the resultant's line of action intersects, measured from point A.
For example, if we have forces F1 and F2 acting on the frame at different angles, we can find their resultant force R by adding the x-components and the y-components separately. The line of action of R will intersect member AB at a specific point, which can be calculated using trigonometric ratios.