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 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, 3.2 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 1 m. A load of 6 kN acts at C. Find the tension T in the tie DE.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 5° with the line AC. A downward force of 200 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 25° with the line AC. A downward force of 300 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
A uniform horizontal boom AB of weight 0.5 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 4 m above A. A load of 12 kN hangs at B. Find the tension T in the cable.
A uniform horizontal boom AB of weight 1.5 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 4 kN hangs at B. Find the magnitude of the pin reaction A.
Answer key
- 1. FCD = 42.43 kN
- 2. T = 1.6 kN
- 3. Q = 1143 N
- 4. Q = 321.7 N
- 5. T = 22.08 kN
- 6. A = 14.27 kN
Full step-by-step solutions: practise this topic on examproblems.com.