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.

New worksheetPractise online with hints

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
OAB200 NQ = ?240 mm80 mm

The bell crank shown turns about the pin O. A vertical force of 200 N acts at A, 240 mm from O, and is balanced by a horizontal force Q at B, 80 mm above O. Find Q.

F = 200 NOA = 240 mmOB = 80 mm
Q = N
2.Easy
15 kN3.2 m1.5 m3 mABCDE

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 1.5 m. A load of 15 kN acts at C. Find the tension T in the tie DE.

P = 15 kNAB = 3.2 mheight of C = 4.5 mheight of DE = 1.5 m
T = kN
3.Medium
4 kN3 m1.5 m3 m0.75 mABCDEK

The A-frame shown stands on a pin at A and a roller at B, 3 m apart, with its apex pin C 4.5 m high and the horizontal tie DE 1.5 m above the ground. A vertical load of 4 kN acts on leg AC at K, 0.75 m (horizontally) from A. Find the tension T in the tie.

P = 4 kNAB = 3 mheight of C = 4.5 mheight of DE = 1.5 mhorizontal distance A to K = 0.75 m
T = kN
4.Medium
20 kN4.8 m0.8 m1.7 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, 2.5 m high, and the horizontal tie DE is 0.8 m above the ground. A load of 20 kN acts at C. Find the magnitude of the force C that the pin C exerts on leg BC.

P = 20 kNAB = 4.8 mheight of C = 2.5 mheight of DE = 0.8 m
C = kN
5.Hard
F = ?2000 N10 mmABC

A toggle press has two equal links AB and BC, each 100 mm long between pins. The joint B sits 10 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 = 100 mmh = 10 mm
F = N
6.Hard
2 kN5 m1.2 m0.8 mABCDE

The A-frame shown stands on a pin at A and a roller at B, 5 m apart. The legs meet at the pin C, 2 m high, and are tied by the horizontal bar DE at 1.2 m. A horizontal force of 2 kN to the right acts at C. Find the tension T in the tie.

P = 2 kNAB = 5 mheight of C = 2 mheight of DE = 1.2 m
T = kN

Answer key

  1. 1. Q = 600 N
  2. 2. T = 4 kN
  3. 3. T = 0.5 kN
  4. 4. C = 17.3 kN
  5. 5. F = 402 N
  6. 6. T = 2.5 kN

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