The A-frame shown stands on a pin at A and a roller at B, 2.4 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 2 m. A load of 12 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, 250 mm from O, and is balanced by a horizontal force Q at B, 60 mm above O. Find Q.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 12° 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.
In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 10° 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 beam AB of the wall bracket shown is pinned at A and propped by the strut CD (C is 1 m below A). The beam carries a uniform load of 3 kN/m over its full length and a point load of 6 kN at its free end B. Find the force FCD in the strut.
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 high and 2.25 m to the right of A. Member AB carries a vertical load of 10 kN at K, 1.125 m (horizontally) from A, and a horizontal load of 10 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
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