A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.6 m below A. A load of 3 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
The handles of a pair of pliers are squeezed with 80 N each, 150 mm from the pin O, and the jaws grip a wire 35 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
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, 2.5 m high, and the horizontal tie DE is 1.5 m above the ground. A load of 2 kN acts at C. 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, 6 m apart. The legs meet at the pin C, 3.6 m high, and the horizontal tie DE is 1.2 m above the ground. A load of 4 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
The frame shown has pins at A, B and C; A and C are fixed to the ground 3 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.
The frame shown has pins at A, B and C; A and C are fixed to the ground 3 m apart, and B is 2.5 m high and 1.8 m to the right of A. Member AB carries a vertical load of 12 kN at K, 0.9 m (horizontally) from A, and a horizontal load of 4 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
Answer key
- 1. FCD = 13.05 kN
- 2. FO = 422.9 N
- 3. C = 2.6 kN
- 4. C = 3.202 kN
- 5. Ax = 1.809 kN
- 6. Ax = 0.672 kN
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