The A-frame shown stands on a pin at A and a roller at B, 3.2 m apart. The legs meet at the pin C, 2.5 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 10 kN acts at C. Find the tension T in the tie DE.
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 the free end B. Neglect the weights. Find the force FCD in the strut.
The A-frame shown stands on a pin at A and a roller at B, 3.2 m apart. The legs meet at the pin C, 2 m high, and the horizontal tie DE is 0.8 m above the ground. A load of 5 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 2.5 m above the ground and 1.35 m to the right of A. A vertical load of 5 kN acts on member AB at K, 1.012 m (horizontally) from A. Find the force FBC in member BC.
A uniform horizontal boom AB of weight 0.5 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 2 m above A. A load of 6 kN hangs at B. Find the tension T in the cable.
The A-frame shown stands on a pin at A and a roller at B, 5 m apart, with its apex pin C 2.5 m high and the horizontal tie DE 0.8 m above the ground. A vertical load of 6 kN acts on leg AC at K, 1.5 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
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