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 2 m. A load of 5 kN acts at C. Find the tension T in the tie DE.
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 12 kN acts on leg AC at the point K, 0.75 m (horizontally) from A. Find the vertical reaction By at the roller.
The A-frame shown stands on a pin at A and a roller at B, 4.8 m apart, with its apex pin C 2 m high and the horizontal tie DE 1 m above the ground. A vertical load of 12 kN acts on leg AC at K, 1.8 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 8° with the line AC. A downward force of 500 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
A toggle press has two equal links AB and BC, each 200 mm long between pins. The joint B sits 10 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 3000 N at the slider C? Neglect friction and weights.
The A-frame shown stands on a pin at A and a roller at B, 2 m apart, with its apex pin C 3.6 m high and the horizontal tie DE 1.8 m above the ground. A vertical load of 15 kN acts on leg AC at K, 0.75 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
Answer key
- 1. T = 3.75 kN
- 2. By = 4.5 kN
- 3. T = 10.8 kN
- 4. Q = 1779 N
- 5. F = 300.4 N
- 6. C = 6.435 kN
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