A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.6 m below A. A load of 12 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, 5 m apart. A vertical load of 12 kN acts on leg AC at the point K, 1.875 m (horizontally) from A. Find the vertical reaction By at the roller.
The A-frame shown stands on a pin at A and a roller at B, 2.4 m apart, with its apex pin C 3.6 m high and the horizontal tie DE 0.8 m above the ground. A vertical load of 4 kN acts on leg AC at K, 0.72 m (horizontally) from A. Find the tension T in the tie.
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 5 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.5 m below A). The beam carries a uniform load of 1.5 kN/m over its full length and a point load of 8 kN at its free end B. Find the force FCD in the strut.
A toggle press has two equal links AB and BC, each 200 mm long between pins. The joint B sits 15 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 4000 N at the slider C? Neglect friction and weights.
Answer key
- 1. FCD = 56.57 kN
- 2. By = 4.5 kN
- 3. T = 0.5143 kN
- 4. A = 8.427 kN
- 5. FCD = 38.71 kN
- 6. F = 601.7 N
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