The A-frame shown rests on a pin at A and a roller at B, 5 m apart. A vertical load of 15 kN acts on leg AC at the point K, 1.875 m (horizontally) from A. Find the vertical reaction By at the roller.
A hand squeezes the handles of a pair of pliers with 120 N each, 80 mm from the pin O. The jaws grip a bolt 35 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 120 N at A (240 mm from O) is balanced by a horizontal force at B (150 mm above O). Find the magnitude of the pin reaction FO.
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 above the ground and 1.8 m to the right of A. A vertical load of 8 kN acts on member AB at K, 0.45 m (horizontally) from A. Find the force FBC in member BC.
A toggle press has two equal links AB and BC, each 200 mm long between pins. The joint B sits 15 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 2000 N at the slider C? Neglect friction and weights.
The A-frame shown stands on a pin at A and a roller at B, 2.4 m apart, with its apex pin C 2.5 m high and the horizontal tie DE 1.2 m above the ground. A vertical load of 12 kN acts on leg AC at K, 0.9 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.
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