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 2 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
The A-frame shown rests on a pin at A and a roller at B, 2 m apart. A vertical load of 10 kN acts on leg AC at the point K, 0.5 m (horizontally) from A. Find the vertical reaction By at the roller.
The bell crank shown turns about the pin O. A vertical force of 150 N at A (150 mm from O) is balanced by a horizontal force at B (150 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 15° with the line AC. A downward force of 400 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.5 m below A). The beam carries a uniform load of 3 kN/m over its full length and a point load of 6 kN at its free end B. Find the force FCD in the strut.
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, 2.5 m above A. A load of 4 kN hangs at B. Find the magnitude of the pin reaction A.
Answer key
- 1. FCD = 7.311 kN
- 2. By = 2.5 kN
- 3. FO = 212.1 N
- 4. Q = 746.4 N
- 5. FCD = 49.92 kN
- 6. A = 7.637 kN
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