The A-frame shown rests on a pin at A and a roller at B, 4.8 m apart. A vertical load of 15 kN acts on leg AC at the point K, 1.44 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, 3 m apart. The legs meet at the pin C, 2 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 8 kN acts at C. Find the tension T in the tie DE.
The A-frame shown stands on a pin at A and a roller at B, 6 m apart, with its apex pin C 2.5 m high and the horizontal tie DE 1.2 m above the ground. A vertical load of 5 kN acts on leg AC at K, 2.25 m (horizontally) from A. Find the tension T in the tie.
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 5 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 0.75 m below A). The beam carries a uniform load of 1.5 kN/m over its full length and a point load of 12 kN at its free end B. Find the force FCD in the strut.
The A-frame shown stands on a pin at A and a roller at B, 4 m apart, with its apex pin C 2 m high and the horizontal tie DE 1.2 m above the ground. A vertical load of 10 kN acts on leg AC at K, 0.8 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
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