The handles of a pair of pliers are squeezed with 80 N each, 100 mm from the pin O, and the jaws grip a wire 24 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
Frames & machines worksheet with answers
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 5 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 8° with the line AC. A downward force of 250 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, 0.5 m below A. A load of 6 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
A toggle press has two equal links AB and BC, each 150 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 3000 N at the slider C? Neglect friction and weights.
The A-frame shown stands on a pin at A and a roller at B, 5 m apart. The legs meet at the pin C, 2.4 m high, and are tied by the horizontal bar DE at 1 m. A horizontal force of 10 kN to the right acts at C. Find the tension T in the tie.
Answer key
- 1. FO = 413.3 N
- 2. FCD = 18.03 kN
- 3. Q = 889.4 N
- 4. A = 20.12 kN
- 5. F = 1225 N
- 6. T = 8.571 kN
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