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 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 8 kN acts at C. Find the tension T in the tie DE.
The handles of a pair of pliers are squeezed with 120 N each, 90 mm from the pin O, and the jaws grip a wire 15 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
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, 3.6 m high, and the horizontal tie DE is 1.5 m above the ground. A load of 4 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
The frame shown has pins at A, B and C; A and C are fixed to the ground 3 m apart, and B is 4 m above the ground and 1.35 m to the right of A. A vertical load of 8 kN acts on member AB at K, 0.81 m (horizontally) from A. Find the force FBC in member BC.
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, 3 m above A. A load of 10 kN hangs at B. Find the magnitude of the pin reaction A.
A toggle press has two equal links AB and BC, each 200 mm long between pins. The joint B sits 8 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 4000 N at the slider C? Neglect friction and weights.
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