The A-frame shown stands on a pin at A and a roller at B, 2 m apart. The legs meet at the pin C, 3 m high, and are tied together by the horizontal bar DE at a height of 1 m. A load of 10 kN acts at C. Find the tension T in the tie DE.
Frames & machines worksheet with answers
The A-frame shown rests on a pin at A and a roller at B, 6 m apart. A vertical load of 15 kN acts on leg AC at the point K, 1.5 m (horizontally) from A. Find the vertical reaction By at the roller.
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 200 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1.5 m below A. A load of 12 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
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 10 kN hangs at B. Find the tension T in the cable.
A uniform horizontal boom AB of weight 3 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 1 m above A. A load of 12 kN hangs at B. Find the magnitude of the pin reaction A.
Answer key
- 1. T = 2.5 kN
- 2. By = 3.75 kN
- 3. Q = 173.2 N
- 4. A = 12.37 kN
- 5. T = 18.93 kN
- 6. A = 67.52 kN
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