The A-frame shown rests on a pin at A and a roller at B, 2.4 m apart. A vertical load of 10 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
A hand squeezes the handles of a pair of pliers with 200 N each, 90 mm from the pin O. The jaws grip a bolt 30 mm from the pin. Find the gripping force Q on the bolt.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 5° with the line AC. A downward force of 150 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 30° with the line AC. A downward force of 100 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
The A-frame shown stands on a pin at A and a roller at B, 3 m apart, with its apex pin C 3 m high and the horizontal tie DE 1.2 m above the ground. A vertical load of 15 kN acts on leg AC at K, 1.125 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
A uniform horizontal boom AB of weight 1 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 m above A. A load of 15 kN hangs at B. Find the tension T in the cable.
Answer key
- 1. By = 3.75 kN
- 2. Q = 600 N
- 3. Q = 857.3 N
- 4. Q = 86.6 N
- 5. C = 7.322 kN
- 6. T = 34.66 kN
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