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
O200 N200 NQ = ?80 mm20 mm

A hand squeezes the handles of a pair of pliers with 200 N each, 80 mm from the pin O. The jaws grip a bolt 20 mm from the pin. Find the gripping force Q on the bolt.

F = 200 Na = 80 mmb = 20 mm
Q = N
2.Easy
10 kN4.8 m0.8 m3.2 m1.44 mABCDEK

The A-frame shown rests on a pin at A and a roller at B, 4.8 m apart. A vertical load of 10 kN acts on leg AC at the point K, 1.44 m (horizontally) from A. Find the vertical reaction By at the roller.

P = 10 kNAB = 4.8 mhorizontal distance A to K = 1.44 m
By = kN
3.Medium
4 kN5 m0.8 m3.2 m1.5 mABCDEK

The A-frame shown stands on a pin at A and a roller at B, 5 m apart, with its apex pin C 4 m high and the horizontal tie DE 0.8 m above the ground. A vertical load of 4 kN acts on leg AC at K, 1.5 m (horizontally) from A. Find the tension T in the tie.

P = 4 kNAB = 5 mheight of C = 4 mheight of DE = 0.8 mhorizontal distance A to K = 1.5 m
T = kN
4.Medium
6 kN3 m2 m2 m0.375 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 m high and the horizontal tie DE 2 m above the ground. A vertical load of 6 kN acts on leg AC at K, 0.375 m (horizontally) from A. Find the tension T in the tie.

P = 6 kNAB = 3 mheight of C = 4 mheight of DE = 2 mhorizontal distance A to K = 0.375 m
T = kN
5.Hard
20 kN6 kN6 m3 m3.6 mABCK

The frame shown has pins at A, B and C; A and C are fixed to the ground 6 m apart, and B is 3 m high and 3.6 m to the right of A. Member AB carries a vertical load of 20 kN at K, 2.7 m (horizontally) from A, and a horizontal load of 6 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.

P = 20 kNQ = 6 kNL = 6 mH = 3 mhorizontal distance A to B = 3.6 mhorizontal distance A to K = 2.7 m
Ax = kN
6.Hard
15 kN2 kN4 m2.5 mABC

A uniform horizontal boom AB of weight 2 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 15 kN hangs at B. Find the tension T in the cable.

W = 15 kNWb = 2 kNAB = 4 mAC = 2.5 m
T = kN

Answer key

  1. 1. Q = 800 N
  2. 2. By = 3 kN
  3. 3. T = 0.9375 kN
  4. 4. T = 0.5625 kN
  5. 5. Ax = 3.6 kN
  6. 6. T = 30.19 kN

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