Engineering Board Exam Reviewer · Engineering Mechanics · hard

A vertical load of 600 N hangs from joint A, which is supported by two members: AB, horizontal, and AC, inclined at 45° above the horizontal. Using the method of joints, what is the force in member AB?

  1. 424.26
  2. 600
  3. 848.53
  4. 648

Answer

B. 600

Solution

First, Fy = 0 at joint A gives F(AC) = 600 / (45°) = 848.53 N. Then Fx = 0: F(AB) = F(AC) · (45°) = 848.53 × (45°) = 600 N.

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