The A-frame shown rests on a pin at A and a roller at B, 2 m apart. A vertical load of 2 kN acts on leg AC at the point K, 0.75 m (horizontally) from A. Find the vertical reaction By at the roller.
Frames & machines worksheet with answers
The A-frame shown stands on a pin at A and a roller at B, 5 m apart. The legs meet at the pin C, 4 m high, and are tied together by the horizontal bar DE at a height of 0.8 m. A load of 15 kN acts at C. Find the tension T in the tie DE.
The bell crank shown turns about the pin O. A vertical force of 80 N at A (150 mm from O) is balanced by a horizontal force at B (150 mm above O). Find the magnitude of the pin reaction FO.
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 above the ground and 1.8 m to the right of A. A vertical load of 5 kN acts on member AB at K, 1.08 m (horizontally) from A. Find the force FBC in member BC.
The frame shown has pins at A, B and C; A and C are fixed to the ground 6 m apart, and B is 3 m high and 1.8 m to the right of A. Member AB carries a vertical load of 6 kN at K, 1.35 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, 4.8 m apart. The legs meet at the pin C, 3 m high, and are tied by the horizontal bar DE at 1.2 m. A horizontal force of 4 kN to the right acts at C. Find the tension T in the tie.
Answer key
- 1. By = 0.75 kN
- 2. T = 5.859 kN
- 3. FO = 113.1 N
- 4. FBC = 1.305 kN
- 5. Ax = 0.99 kN
- 6. T = 3.333 kN
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