A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.75 m below A. A load of 15 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
The A-frame shown rests on a pin at A and a roller at B, 4.8 m apart. A vertical load of 20 kN acts on leg AC at the point K, 1.8 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 250 N at A (100 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 2.7 m to the right of A. A vertical load of 8 kN acts on member AB at K, 1.08 m (horizontally) from A. Find the force FBC in member BC.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.8 m below A). The beam carries a uniform load of 1.5 kN/m over its full length and a point load of 2 kN at its free end B. Find the force FCD in the strut.
The A-frame shown stands on a pin at A and a roller at B, 2 m apart. The legs meet at the pin C, 2.5 m high, and are tied by the horizontal bar DE at 0.6 m. A horizontal force of 2 kN to the right acts at C. Find the tension T in the tie.
Answer key
- 1. FCD = 44.18 kN
- 2. By = 7.5 kN
- 3. FO = 300.5 N
- 4. FBC = 1.867 kN
- 5. FCD = 7.504 kN
- 6. T = 1.316 kN
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