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 together by the horizontal bar DE at a height of 0.8 m. A load of 20 kN acts at C. Find the tension T in the tie DE.
The handles of a pair of pliers are squeezed with 80 N each, 80 mm from the pin O, and the jaws grip a wire 24 mm from the pin. Take all forces as perpendicular to the handle. Find the force FO that the pin transmits.
The bell crank shown turns about the pin O. A vertical force of 300 N at A (200 mm from O) is balanced by a horizontal force at B (75 mm above O). Find the magnitude of the pin reaction FO.
The frame shown has pins at A, B and C; A and C are fixed to the ground 5 m apart, and B is 4 m above the ground and 0.75 m to the right of A. A vertical load of 6 kN acts on member AB at K, 0.45 m (horizontally) from A. Find the force FBC in member BC.
The frame shown has pins at A, B and C; A and C are fixed to the ground 4 m apart, and B is 3 m high and 0.6 m to the right of A. Member AB carries a vertical load of 4 kN at K, 0.24 m (horizontally) from A, and a horizontal load of 5 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
A uniform horizontal boom AB of weight 2 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 2.5 m above A. A load of 10 kN hangs at B. Find the magnitude of the pin reaction A.
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