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, 4.5 m high, and are tied together by the horizontal bar DE at a height of 2 m. A load of 4 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 120 N acts at A, 120 mm from O, and is balanced by a horizontal force Q at B, 75 mm above O. Find Q.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 8° with the line AC. A downward force of 300 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, 4.8 m apart, with its apex pin C 4 m high and the horizontal tie DE 1 m above the ground. A vertical load of 2 kN acts on leg AC at K, 0.96 m (horizontally) from A. Find the tension T in the tie.
The beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1.5 m below A). The beam carries a uniform load of 1.5 kN/m over its full length and a point load of 2 kN at its free end B. Find the force FCD in the strut.
A uniform horizontal boom AB of weight 1 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 4 m above A. A load of 10 kN hangs at B. Find the tension T in the cable.
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