The A-frame shown rests on a pin at A and a roller at B, 2.4 m apart. A vertical load of 5 kN acts on leg AC at the point K, 0.3 m (horizontally) from A. Find the vertical reaction By at the roller.
Frames & machines worksheet with answers
The bell crank shown turns about the pin O. A vertical force of 400 N acts at A, 100 mm from O, and is balanced by a horizontal force Q at B, 120 mm above O. Find Q.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1.5 m below A. A load of 10 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 20° with the line AC. A downward force of 100 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
The A-frame shown stands on a pin at A and a roller at B, 2.4 m apart, with its apex pin C 3.6 m high and the horizontal tie DE 1 m above the ground. A vertical load of 15 kN acts on leg AC at K, 0.72 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
The A-frame shown stands on a pin at A and a roller at B, 4.8 m apart, with its apex pin C 2.4 m high and the horizontal tie DE 1.2 m above the ground. A vertical load of 4 kN acts on leg AC at K, 1.8 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
Answer key
- 1. By = 0.625 kN
- 2. Q = 333.3 N
- 3. A = 17.09 kN
- 4. Q = 137.4 N
- 5. C = 4.956 kN
- 6. C = 3.354 kN
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