A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.8 m below A. A load of 10 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 stands on a pin at A and a roller at B, 4 m apart. The legs meet at the pin C, 2.4 m high, and are tied together by the horizontal bar DE at a height of 0.6 m. A load of 2 kN acts at C. Find the tension T in the tie DE.
The frame shown has pins at A, B and C; A and C are fixed to the ground 4 m apart, and B is 2 m above the ground and 1.2 m to the right of A. A vertical load of 5 kN acts on member AB at K, 0.48 m (horizontally) from A. Find the force FBC in member BC.
The bell crank shown turns about the pin O. A vertical force of 300 N at A (120 mm from O) is balanced by a horizontal force at B (60 mm above O). Find the magnitude of the pin reaction FO.
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, 2 m above A. A load of 8 kN hangs at B. Find the magnitude of the pin reaction A.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.5 m below A). The beam carries a uniform load of 1 kN/m over its full length and a point load of 8 kN at its free end B. Find the force FCD in the strut.
Answer key
- 1. FCD = 35.36 kN
- 2. T = 1.111 kN
- 3. FBC = 1.032 kN
- 4. FO = 670.8 N
- 5. A = 25.5 kN
- 6. FCD = 82.46 kN
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