The A-frame shown rests on a pin at A and a roller at B, 2 m apart. A vertical load of 6 kN acts on leg AC at the point K, 0.4 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 250 N acts at A, 100 mm from O, and is balanced by a horizontal force Q at B, 50 mm above O. Find 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, 0.9 m (horizontally) from A. Find the tension T in the tie.
The A-frame shown stands on a pin at A and a roller at B, 5 m apart, with its apex pin C 4.5 m high and the horizontal tie DE 1 m above the ground. A vertical load of 15 kN acts on leg AC at K, 1 m (horizontally) from A. Find the tension T in the tie.
A uniform horizontal boom AB of weight 1 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 3 m above A. A load of 10 kN hangs at B. Find the magnitude of the pin reaction A.
The frame shown has pins at A, B and C; A and C are fixed to the ground 6 m apart, and B is 4 m high and 0.9 m to the right of A. Member AB carries a vertical load of 5 kN at K, 0.675 m (horizontally) from A, and a horizontal load of 8 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
Answer key
- 1. By = 1.2 kN
- 2. Q = 500 N
- 3. T = 2.596 kN
- 4. T = 2.143 kN
- 5. A = 17.51 kN
- 6. Ax = 0.4828 kN
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