The A-frame shown rests on a pin at A and a roller at B, 4.8 m apart. A vertical load of 2 kN acts on leg AC at the point K, 1.44 m (horizontally) from A. Find the vertical reaction By at the roller.
Frames & machines worksheet with answers
A hand squeezes the handles of a pair of pliers with 80 N each, 80 mm from the pin O. The jaws grip a bolt 35 mm from the pin. Find the gripping force Q on the bolt.
The A-frame shown stands on a pin at A and a roller at B, 6 m apart. The legs meet at the pin C, 2.4 m high, and the horizontal tie DE is 0.8 m above the ground. A load of 8 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.5 m below A. A load of 2 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The A-frame shown stands on a pin at A and a roller at B, 2.4 m apart. The legs meet at the pin C, 2.5 m high, and are tied by the horizontal bar DE at 0.8 m. A horizontal force of 12 kN to the right acts at C. Find the tension T in the tie.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1 m below A). The beam carries a uniform load of 4 kN/m over its full length and a point load of 2 kN at its free end B. Find the force FCD in the strut.
Answer key
- 1. By = 0.6 kN
- 2. Q = 182.9 N
- 3. C = 8.5 kN
- 4. A = 16.12 kN
- 5. T = 8.824 kN
- 6. FCD = 31.24 kN
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