Frames & machines worksheet with answers

Free printable Frames & machines worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
4 kN4.8 m1 m3.5 mABCDE

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, 4.5 m high, and are tied together by the horizontal bar DE at a height of 1 m. A load of 4 kN acts at C. Find the tension T in the tie DE.

P = 4 kNAB = 4.8 mheight of C = 4.5 mheight of DE = 1 m
T = kN
2.Easy
12 kN6 m0.8 m2.2 mABCDE

The A-frame shown stands on a pin at A and a roller at B, 6 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.

P = 12 kNAB = 6 mheight of C = 3 mheight of DE = 0.8 m
T = kN
3.Medium
3 kN1.2 m0.8 m1.5 mABCD

A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1.5 m below A. A load of 3 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.

P = 3 kNAD = 1.2 mAB = 2 mAC = 1.5 m
A = kN
4.Medium
OAB150 NQ100 mm150 mmFO​ = ?

The bell crank shown turns about the pin O. A vertical force of 150 N at A (100 mm from O) is balanced by a horizontal force at B (150 mm above O). Find the magnitude of the pin reaction FO.

F = 150 NOA = 100 mmOB = 150 mm
FO = N
5.Hard
10 kN1.5 kN4 m1 mABC

A uniform horizontal boom AB of weight 1.5 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 1 m above A. A load of 10 kN hangs at B. Find the magnitude of the pin reaction A.

W = 10 kNWb = 1.5 kNAB = 4 mAC = 1 m
A = kN
6.Hard
F = ?2000 N25 mmABC

A toggle press has two equal links AB and BC, each 80 mm long between pins. The joint B sits 25 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.

Q = 2000 NAB = BC = 80 mmh = 25 mm
F = N

Answer key

  1. 1. T = 1.371 kN
  2. 2. T = 8.182 kN
  3. 3. A = 4.472 kN
  4. 4. FO = 180.3 N
  5. 5. A = 43.01 kN
  6. 6. F = 1316 N

Full step-by-step solutions: practise this topic on examproblems.com.