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
6 kN0.6 m1.4 m1.2 mABCD

A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 1.2 m below A. A load of 6 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.

P = 6 kNAD = 0.6 mAB = 2 mAC = 1.2 m
FCD = kN
2.Easy
OAB120 NQ = ?120 mm75 mm

The bell crank shown turns about the pin O. A vertical force of 120 N acts at A, 120 mm from O, and is balanced by a horizontal force Q at B, 75 mm above O. Find Q.

F = 120 NOA = 120 mmOB = 75 mm
Q = N
3.Medium
2 kN3.2 m0.8 m1.7 m1.2 mABCDEK

The A-frame shown stands on a pin at A and a roller at B, 3.2 m apart, with its apex pin C 2.5 m high and the horizontal tie DE 0.8 m above the ground. A vertical load of 2 kN acts on leg AC at K, 1.2 m (horizontally) from A. Find the tension T in the tie.

P = 2 kNAB = 3.2 mheight of C = 2.5 mheight of DE = 0.8 mhorizontal distance A to K = 1.2 m
T = kN
4.Medium
15 kN2 m0.8 m2.2 m0.5 mABCDEK

The A-frame shown stands on a pin at A and a roller at B, 2 m apart, with its apex pin C 3 m high and the horizontal tie DE 0.8 m above the ground. A vertical load of 15 kN acts on leg AC at K, 0.5 m (horizontally) from A. Find the tension T in the tie.

P = 15 kNAB = 2 mheight of C = 3 mheight of DE = 0.8 mhorizontal distance A to K = 0.5 m
T = kN
5.Hard
12 kN4 m1 m2.6 m1.2 mABCDEK

The A-frame shown stands on a pin at A and a roller at B, 4 m apart, with its apex pin C 3.6 m high and the horizontal tie DE 1 m above the ground. A vertical load of 12 kN acts on leg AC at K, 1.2 m (horizontally) from A. Find the magnitude of the force C that the pin C exerts on leg BC.

P = 12 kNAB = 4 mheight of C = 3.6 mheight of DE = 1 mhorizontal distance A to K = 1.2 m
C = kN
6.Hard
10 kN0.5 kN2.5 m2.5 mABC

A uniform horizontal boom AB of weight 0.5 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 2.5 m above A. A load of 10 kN hangs at B. Find the tension T in the cable.

W = 10 kNWb = 0.5 kNAB = 2.5 mAC = 2.5 m
T = kN

Answer key

  1. 1. FCD = 22.36 kN
  2. 2. Q = 192 N
  3. 3. T = 0.7059 kN
  4. 4. T = 1.705 kN
  5. 5. C = 4.542 kN
  6. 6. T = 14.5 kN

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