A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.8 m below A. A load of 10 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
The A-frame shown rests on a pin at A and a roller at B, 4.8 m apart. A vertical load of 6 kN acts on leg AC at the point K, 1.44 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 15° with the line AC. A downward force of 400 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, 2 m apart. The legs meet at the pin C, 4 m high, and the horizontal tie DE is 1.5 m above the ground. A load of 20 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
A uniform horizontal boom AB of weight 1.5 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 4 kN hangs at B. Find the magnitude of the pin reaction A.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1.5 m below A). The beam carries a uniform load of 5 kN/m over its full length and a point load of 6 kN at its free end B. Find the force FCD in the strut.
Answer key
- 1. FCD = 44.19 kN
- 2. By = 1.8 kN
- 3. Q = 746.4 N
- 4. C = 10.77 kN
- 5. A = 23.76 kN
- 6. FCD = 30.73 kN
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