A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.75 m below A. A load of 8 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
The bell crank shown turns about the pin O. A vertical force of 80 N acts at A, 300 mm from O, and is balanced by a horizontal force Q at B, 80 mm above O. Find Q.
The A-frame shown stands on a pin at A and a roller at B, 4 m apart, with its apex pin C 4.5 m high and the horizontal tie DE 2 m above the ground. A vertical load of 12 kN acts on leg AC at K, 1.2 m (horizontally) from A. Find the tension T in the tie.
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 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, 1 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 2 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 3 m above A. A load of 12 kN hangs at B. Find the tension T in the cable.
Answer key
- 1. FCD = 18.87 kN
- 2. Q = 300 N
- 3. T = 2.88 kN
- 4. Q = 268.1 N
- 5. T = 22.68 kN
- 6. T = 16.92 kN
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