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, 4 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 15 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 50 N acts at A, 120 mm from O, and is balanced by a horizontal force Q at B, 75 mm above O. Find Q.
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 m above the ground and 0.45 m to the right of A. A vertical load of 15 kN acts on member AB at K, 0.27 m (horizontally) from A. Find the force FBC in member 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 0.45 m to the right of A. A vertical load of 6 kN acts on member AB at K, 0.18 m (horizontally) from A. Find the force FBC in member BC.
The A-frame shown stands on a pin at A and a roller at B, 3 m apart, with its apex pin C 3.6 m high and the horizontal tie DE 1 m above the ground. A vertical load of 15 kN acts on leg AC at K, 1.125 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
A uniform horizontal boom AB of weight 3 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 4 m above A. A load of 4 kN hangs at B. Find the magnitude of the pin reaction A.
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