The A-frame shown stands on a pin at A and a roller at B, 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 0.8 m. A load of 2 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, 2 m apart. The legs meet at the pin C, 3.6 m high, and are tied together by the horizontal bar DE at a height of 0.8 m. A load of 12 kN acts at C. Find the tension T in the tie DE.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 25° with the line AC. A downward force of 500 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
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, 3 m high, and the horizontal tie DE is 1 m above the ground. A load of 20 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 6 m apart, and B is 2.5 m high and 1.8 m to the right of A. Member AB carries a vertical load of 6 kN at K, 1.08 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.
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 kN/m over its full length and a point load of 15 kN at its free end B. Find the force FCD in the strut.
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