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 10 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
A hand squeezes the handles of a pair of pliers with 50 N each, 80 mm from the pin O. The jaws grip a bolt 18 mm from the pin. Find the gripping force Q on the bolt.
The A-frame shown stands on a pin at A and a roller at B, 6 m apart. The legs meet at the pin C, 4.5 m high, and the horizontal tie DE is 2 m above the ground. A load of 8 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 12° 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.
A toggle press has two equal links AB and BC, each 120 mm long between pins. The joint B sits 12 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.
A toggle press has two equal links AB and BC, each 100 mm long between pins. The joint B sits 30 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 1500 N at the slider C? Neglect friction and weights.
Answer key
- 1. FCD = 60.09 kN
- 2. Q = 222.2 N
- 3. C = 6.248 kN
- 4. Q = 235.2 N
- 5. F = 804 N
- 6. F = 943.5 N
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