The A-frame shown rests on a pin at A and a roller at B, 5 m apart. A vertical load of 12 kN acts on leg AC at the point K, 1.875 m (horizontally) from A. Find the vertical reaction By at the roller.
The A-frame shown stands on a pin at A and a roller at B, 4 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 m. A load of 4 kN acts at C. Find the tension T in the tie DE.
The bell crank shown turns about the pin O. A vertical force of 100 N at A (100 mm from O) is balanced by a horizontal force at B (120 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, 0.5 m below A. A load of 5 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
A uniform horizontal boom AB of weight 1 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 3 m above A. A load of 8 kN hangs at B. Find the tension T in the cable.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1.2 m below A). The beam carries a uniform load of 2.5 kN/m over its full length and a point load of 5 kN at its free end B. Find the force FCD in the strut.
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