The A-frame shown stands on a pin at A and a roller at B, 3 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 8 kN acts at C. Find the tension T in the tie DE.
Frames & machines worksheet with answers
The A-frame shown rests on a pin at A and a roller at B, 2 m apart. A vertical load of 6 kN acts on leg AC at the point K, 0.25 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 (120 mm from O) is balanced by a horizontal force at B (80 mm above O). Find the magnitude of the pin reaction FO.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 15° 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.
The frame shown has pins at A, B and C; A and C are fixed to the ground 5 m apart, and B is 2 m high and 2.25 m to the right of A. Member AB carries a vertical load of 6 kN at K, 1.688 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 A-frame shown stands on a pin at A and a roller at B, 5 m apart. The legs meet at the pin C, 3.6 m high, and are tied by the horizontal bar DE at 1.5 m. A horizontal force of 8 kN to the right acts at C. Find the tension T in the tie.
Answer key
- 1. T = 3.333 kN
- 2. By = 0.75 kN
- 3. FO = 450.7 N
- 4. Q = 559.8 N
- 5. Ax = 0.8156 kN
- 6. T = 6.857 kN
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