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
O80 N80 NQ = ?80 mm35 mm

A hand squeezes the handles of a pair of pliers with 80 N each, 80 mm from the pin O. The jaws grip a bolt 35 mm from the pin. Find the gripping force Q on the bolt.

F = 80 Na = 80 mmb = 35 mm
Q = N
2.Easy
12 kN0.5 m1 m0.75 mABCD

A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.75 m below A. A load of 12 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.

P = 12 kNAD = 0.5 mAB = 1.5 mAC = 0.75 m
FCD = kN
3.Medium
10 kN0.75 m1.65 m1 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 m below A. A load of 10 kN hangs at B. Neglect the weights. Find the magnitude of the pin force A on the beam at A.

P = 10 kNAD = 0.75 mAB = 2.4 mAC = 1 m
A = kN
4.Medium
2 kN6 m2 m2.5 m0.75 mABCDEK

The A-frame shown stands on a pin at A and a roller at B, 6 m apart, with its apex pin C 4.5 m high and the horizontal tie DE 2 m above the ground. A vertical load of 2 kN acts on leg AC at K, 0.75 m (horizontally) from A. Find the tension T in the tie.

P = 2 kNAB = 6 mheight of C = 4.5 mheight of DE = 2 mhorizontal distance A to K = 0.75 m
T = kN
5.Hard
12 kN10 kN8 m2.5 m3.6 mABCK

The frame shown has pins at A, B and C; A and C are fixed to the ground 8 m apart, and B is 2.5 m high and 3.6 m to the right of A. Member AB carries a vertical load of 12 kN at K, 0.9 m (horizontally) from A, and a horizontal load of 10 kN to the right acts at B on member AB. Find the size of the horizontal reaction Ax at A.

P = 12 kNQ = 10 kNL = 8 mH = 2.5 mhorizontal distance A to B = 3.6 mhorizontal distance A to K = 0.9 m
Ax = kN
6.Hard
4 kN3.2 m1.2 m1.8 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 3 m high and the horizontal tie DE 1.2 m above the ground. A vertical load of 4 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 = 4 kNAB = 3.2 mheight of C = 3 mheight of DE = 1.2 mhorizontal distance A to K = 1.2 m
C = kN

Answer key

  1. 1. Q = 182.9 N
  2. 2. FCD = 43.27 kN
  3. 3. A = 32.56 kN
  4. 4. T = 0.3 kN
  5. 5. Ax = 2.124 kN
  6. 6. C = 2.007 kN

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