A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1 m below A. A load of 4 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 40 N each, 80 mm from the pin O. The jaws grip a bolt 24 mm from the pin. Find the gripping force Q on the bolt.
The bell crank shown turns about the pin O. A vertical force of 50 N at A (120 mm from O) is balanced by a horizontal force at B (75 mm above O). Find the magnitude of the pin reaction FO.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 20° 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 uniform horizontal boom AB of weight 1 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 4 m above A. A load of 5 kN hangs at B. Find the tension T in the cable.
A uniform horizontal boom AB of weight 3 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 2.5 m above A. A load of 15 kN hangs at B. Find the tension T in the cable.
Answer key
- 1. FCD = 11.66 kN
- 2. Q = 133.3 N
- 3. FO = 94.34 N
- 4. Q = 343.4 N
- 5. T = 8.804 kN
- 6. T = 21.13 kN
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