The A-frame shown rests on a pin at A and a roller at B, 4.8 m apart. A vertical load of 4 kN acts on leg AC at the point K, 1.44 m (horizontally) from A. Find the vertical reaction By at the roller.
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 5 kN acts on leg AC at the point K, 0.75 m (horizontally) from A. Find the vertical reaction By at the roller.
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 5 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 100 N at A (240 mm from O) is balanced by a horizontal force at B (100 mm above O). Find the magnitude of the pin reaction FO.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.6 m below A). The beam carries a uniform load of 1.5 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 toggle press has two equal links AB and BC, each 200 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. By = 1.2 kN
- 2. By = 1.875 kN
- 3. A = 18.87 kN
- 4. FO = 260 N
- 5. FCD = 54.5 kN
- 6. F = 504 N
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