The A-frame shown rests on a pin at A and a roller at B, 3.2 m apart. A vertical load of 15 kN acts on leg AC at the point K, 0.96 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, 0.6 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 120 N at A (120 mm from O) is balanced by a horizontal force at B (150 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, 1.5 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.
The frame shown has pins at A, B and C; A and C are fixed to the ground 8 m apart, and B is 4 m high and 3.6 m to the right of A. Member AB carries a vertical load of 15 kN at K, 1.8 m (horizontally) from A, and a horizontal load of 3 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
The A-frame shown stands on a pin at A and a roller at B, 6 m apart, with its apex pin C 2.5 m high and the horizontal tie DE 1 m above the ground. A vertical load of 5 kN acts on leg AC at K, 2.25 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
Answer key
- 1. By = 4.5 kN
- 2. By = 1.5 kN
- 3. FO = 153.7 N
- 4. A = 16.32 kN
- 5. Ax = 2.363 kN
- 6. C = 4.193 kN
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