Solution: Replace the force and couple system acting on the

Chapter 4, Problem 4-126

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QUESTION:

Replace the force and couple system acting on the frame by an equivalent resultant force and specify where the resultant’s line of action intersects member BC, measured from B.

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QUESTION:

Replace the force and couple system acting on the frame by an equivalent resultant force and specify where the resultant’s line of action intersects member BC, measured from B.

ANSWER:

Step 1 of 3

Let assume is the resultant force,  is the force in y-direction,  is the force in the x-direction and  is the location measured from the B.

The free body diagram is shown below.

                                           

Consider the forces in the x- direction.

                                                 

Consider the forces in the y- direction

                                                   

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