The A-frame shown stands on a pin at A and a roller at B, 4.8 m apart. The legs meet at the pin C, 4.5 m high, and are tied together by the horizontal bar DE at a height of 1 m. A load of 4 kN acts at C. Find the tension T in the tie DE.
Frames & machines worksheet with answers
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, 3 m high, and are tied together by the horizontal bar DE at a height of 0.8 m. A load of 12 kN acts at C. Find the tension T in the tie DE.
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 3 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The bell crank shown turns about the pin O. A vertical force of 150 N at A (100 mm from O) is balanced by a horizontal force at B (150 mm above O). Find the magnitude of the pin reaction FO.
A uniform horizontal boom AB of weight 1.5 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 10 kN hangs at B. Find the magnitude of the pin reaction A.
A toggle press has two equal links AB and BC, each 80 mm long between pins. The joint B sits 25 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 2000 N at the slider C? Neglect friction and weights.
Answer key
- 1. T = 1.371 kN
- 2. T = 8.182 kN
- 3. A = 4.472 kN
- 4. FO = 180.3 N
- 5. A = 43.01 kN
- 6. F = 1316 N
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