The A-frame shown rests on a pin at A and a roller at B, 2 m apart. A vertical load of 15 kN acts on leg AC at the point K, 0.4 m (horizontally) from A. Find the vertical reaction By at the roller.
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, 3 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.
A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.8 m below A. A load of 4 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.
The A-frame shown stands on a pin at A and a roller at B, 4.8 m apart. The legs meet at the pin C, 3.6 m high, and the horizontal tie DE is 1.5 m above the ground. A load of 6 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.
A toggle press has two equal links AB and BC, each 100 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 4000 N at the slider C? Neglect friction and weights.
A toggle press has two equal links AB and BC, each 80 mm long between pins. The joint B sits 8 mm above the line AC. Which downward force F at B produces a horizontal pressing force of 2500 N at the slider C? Neglect friction and weights.
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