The A-frame shown stands on a pin at A and a roller at B, 3.2 m apart. The legs meet at the pin C, 2 m high, and are tied together by the horizontal bar DE at a height of 0.8 m. A load of 10 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, 4.8 m apart. The legs meet at the pin C, 3.6 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 2 kN acts at C. Find the tension T in the tie DE.
The bell crank shown turns about the pin O. A vertical force of 80 N at A (300 mm from O) is balanced by a horizontal force at B (120 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 25° with the line AC. A downward force of 150 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 0.5 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 15 kN hangs at B. Find the magnitude of the pin reaction A.
A uniform horizontal boom AB of weight 3 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 1.5 m above A. A load of 15 kN hangs at B. Find the magnitude of the pin reaction A.
Answer key
- 1. T = 6.667 kN
- 2. T = 1 kN
- 3. FO = 215.4 N
- 4. Q = 160.8 N
- 5. A = 45.75 kN
- 6. A = 22.05 kN
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