The A-frame shown rests on a pin at A and a roller at B, 3 m apart. A vertical load of 15 kN acts on leg AC at the point K, 0.9 m (horizontally) from A. Find the vertical reaction By at the roller.
Frames & machines worksheet with answers
The handles of a pair of pliers are squeezed with 40 N each, 80 mm from the pin O, and the jaws grip a wire 25 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
The bell crank shown turns about the pin O. A vertical force of 150 N at A (200 mm from O) is balanced by a horizontal force at B (150 mm above O). Find the magnitude of the pin reaction FO.
The frame shown has pins at A, B and C; A and C are fixed to the ground 6 m apart, and B is 4 m above the ground and 0.9 m to the right of A. A vertical load of 12 kN acts on member AB at K, 0.36 m (horizontally) from A. Find the force FBC in member BC.
A uniform horizontal boom AB of weight 0.5 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 2.5 m above A. A load of 8 kN hangs at B. Find the tension T in the cable.
A uniform horizontal boom AB of weight 1.5 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 1.5 m above A. A load of 15 kN hangs at B. Find the tension T in the cable.
Answer key
- 1. By = 4.5 kN
- 2. FO = 168 N
- 3. FO = 250 N
- 4. FBC = 1.167 kN
- 5. T = 12.89 kN
- 6. T = 30.61 kN
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