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, 4.5 m high, and are tied together by the horizontal bar DE at a height of 1.8 m. A load of 5 kN acts at C. Find the tension T in the tie DE.
The handles of a pair of pliers are squeezed with 100 N each, 90 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 120 N at A (300 mm from O) is balanced by a horizontal force at B (100 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, 1.2 m below A. A load of 3 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1 m below A). The beam carries a uniform load of 5 kN/m over its full length and a point load of 15 kN at its free end B. Find the force FCD in the strut.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1 m below A). The beam carries a uniform load of 1.5 kN/m over its full length and a point load of 2 kN at its free end B. Find the force FCD in the strut.
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