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, 3.6 m high, and are tied together by the horizontal bar DE at a height of 2 m. A load of 8 kN acts at C. Find the tension T in the tie DE.
A hand squeezes the handles of a pair of pliers with 100 N each, 110 mm from the pin O. The jaws grip a bolt 35 mm from the pin. Find the gripping force Q on the bolt.
The A-frame shown stands on a pin at A and a roller at B, 3.2 m apart, with its apex pin C 2 m high and the horizontal tie DE 0.8 m above the ground. A vertical load of 8 kN acts on leg AC at K, 0.4 m (horizontally) from A. Find the tension T in the tie.
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 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 80 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 5000 N at the slider C? Neglect friction and weights.
The frame shown has pins at A, B and C; A and C are fixed to the ground 3 m apart, and B is 2 m high and 1.8 m to the right of A. Member AB carries a vertical load of 20 kN at K, 0.45 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.
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