A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.5 m below A. A load of 15 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
The bell crank shown turns about the pin O. A vertical force of 80 N acts at A, 250 mm from O, and is balanced by a horizontal force Q at B, 60 mm above O. Find Q.
The A-frame shown stands on a pin at A and a roller at B, 4 m apart, with its apex pin C 3 m high and the horizontal tie DE 1.5 m above the ground. A vertical load of 4 kN acts on leg AC at K, 1.5 m (horizontally) from A. Find the tension T in the tie.
The A-frame shown stands on a pin at A and a roller at B, 2.4 m apart. The legs meet at the pin C, 2.4 m high, and the horizontal tie DE is 0.8 m above the ground. A load of 12 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
A toggle press has two equal links AB and BC, each 100 mm long between pins. The joint B sits 10 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 3000 N at the slider C? Neglect friction and weights.
A uniform horizontal boom AB of weight 1 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 6 kN hangs at B. Find the magnitude of the pin reaction A.
Answer key
- 1. FCD = 94.87 kN
- 2. Q = 333.3 N
- 3. T = 2 kN
- 4. C = 7.5 kN
- 5. F = 603 N
- 6. A = 26 kN
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