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, 2.5 m high, and are tied together by the horizontal bar DE at a height of 0.6 m. A load of 6 kN acts at C. Find the tension T in the tie DE.
A hand squeezes the handles of a pair of pliers with 40 N each, 80 mm from the pin O. The jaws grip a bolt 35 mm from the pin. Find the gripping force Q on the bolt.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1.5 m below A. A load of 10 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1 m below A. A load of 2 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
A toggle press has two equal links AB and BC, each 150 mm long between pins. The joint B sits 5 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 2500 N at the slider C? Neglect friction and weights.
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 m high, and are tied by the horizontal bar DE at 1 m. A horizontal force of 12 kN to the right acts at C. Find the tension T in the tie.
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