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, 2 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 6 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 400 N acts at A, 200 mm from O, and is balanced by a horizontal force Q at B, 120 mm above O. Find Q.
The A-frame shown stands on a pin at A and a roller at B, 5 m apart. The legs meet at the pin C, 3 m high, and the horizontal tie DE is 0.8 m above the ground. A load of 15 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 5 m apart, and B is 3 m above the ground and 0.75 m to the right of A. A vertical load of 15 kN acts on member AB at K, 0.5625 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 5 m apart, and B is 2.5 m high and 3 m to the right of A. Member AB carries a vertical load of 10 kN at K, 1.5 m (horizontally) from A, and a horizontal load of 5 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
A uniform horizontal boom AB of weight 3 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 1 m above A. A load of 15 kN hangs at B. Find the tension T in the cable.
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