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, 4.5 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 5 kN acts at C. Find the tension T in the tie DE.
A hand squeezes the handles of a pair of pliers with 200 N each, 150 mm from the pin O. The jaws grip a bolt 25 mm from the pin. Find the gripping force Q on the bolt.
The bell crank shown turns about the pin O. A vertical force of 100 N at A (100 mm from O) is balanced by a horizontal force at B (75 mm above O). Find the magnitude of the pin reaction FO.
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 100 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.
A toggle press has two equal links AB and BC, each 120 mm long between pins. The joint B sits 5 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 3000 N at the slider C? Neglect friction and weights.
The frame shown has pins at A, B and C; A and C are fixed to the ground 4 m apart, and B is 4 m high and 1.8 m to the right of A. Member AB carries a vertical load of 12 kN at K, 1.08 m (horizontally) from A, and a horizontal load of 2 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.
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