The A-frame shown rests on a pin at A and a roller at B, 3.2 m apart. A vertical load of 2 kN acts on leg AC at the point K, 0.64 m (horizontally) from A. Find the vertical reaction By at the roller.
The handles of a pair of pliers are squeezed with 40 N each, 150 mm from the pin O, and the jaws grip a wire 18 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 (150 mm from O) is balanced by a horizontal force at B (60 mm above O). Find the magnitude of the pin reaction FO.
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 15 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The frame shown has pins at A, B and C; A and C are fixed to the ground 4 m apart, and B is 4 m high and 2.4 m to the right of A. Member AB carries a vertical load of 15 kN at K, 0.96 m (horizontally) from A, and a horizontal load of 4 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, 2.4 m apart. The legs meet at the pin C, 3 m high, and are tied by the horizontal bar DE at 1.2 m. A horizontal force of 10 kN to the right acts at C. Find the tension T in the tie.
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