The A-frame shown rests on a pin at A and a roller at B, 5 m apart. A vertical load of 6 kN acts on leg AC at the point K, 1.875 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 4 kN acts on leg AC at the point K, 0.25 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 50 N at A (150 mm from O) is balanced by a horizontal force at B (75 mm above O). Find the magnitude of the pin reaction FO.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1 m below A. A load of 6 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
A toggle press has two equal links AB and BC, each 150 mm long between pins. The joint B sits 20 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 1500 N at the slider C? Neglect friction and weights.
A uniform horizontal boom AB of weight 1.5 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 6 kN hangs at B. Find the tension T in the cable.
Answer key
- 1. By = 2.25 kN
- 2. By = 0.5 kN
- 3. FO = 111.8 N
- 4. A = 22.87 kN
- 5. F = 403.6 N
- 6. T = 8.112 kN
Full step-by-step solutions: practise this topic on examproblems.com.