A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.5 m below A. A load of 4 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.
Frames & machines worksheet with answers
The bell crank shown turns about the pin O. A vertical force of 100 N acts at A, 150 mm from O, and is balanced by a horizontal force Q at B, 50 mm above O. Find Q.
The bell crank shown turns about the pin O. A vertical force of 120 N at A (200 mm from O) is balanced by a horizontal force at B (100 mm above O). Find the magnitude of the pin reaction FO.
The A-frame shown stands on a pin at A and a roller at B, 4 m apart, with its apex pin C 2.4 m high and the horizontal tie DE 1 m above the ground. A vertical load of 20 kN acts on leg AC at K, 1.5 m (horizontally) from A. Find the tension T in the tie.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 0.75 m below A). The beam carries a uniform load of 4 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.
A toggle press has two equal links AB and BC, each 120 mm long between pins. The joint B sits 20 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 1000 N at the slider C? Neglect friction and weights.
Answer key
- 1. FCD = 26 kN
- 2. Q = 300 N
- 3. FO = 268.3 N
- 4. T = 10.71 kN
- 5. FCD = 25.61 kN
- 6. F = 338.1 N
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