A 77-N force F1 and a 31-N·m couple M1 are applied to corner E of the bent plate shown. If F1 and M1 are to be replaced with an equivalent force-couple system (F2, M2) at corner B and if (M2)z = 0, determine (a) the distance d, (b) F2 and M2.
(a)
The magnitude of d.
Answer to Problem 3.156RP
The value of d is
Explanation of Solution
The z-component of the replaced equivalent couple
Write the expression for the vector from B to H.
Here
Write the expression for the vector from E to H.
Here
Write the expression for the force
Write the expression for the vector from E to J.
Write the expression for the force
Write the expression for the z-component of the moment.
Conclusion:
Substitute
Thus, the value of d is
(b)
The vectors
Answer to Problem 3.156RP
The vectors
Explanation of Solution
Since the force
Write the expression to calculate
Conclusion:
Substitute (I), (II), (III) and
Thus, the vectors
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Chapter 3 Solutions
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