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
OAB50 NQ = ?100 mm60 mm

The bell crank shown turns about the pin O. A vertical force of 50 N acts at A, 100 mm from O, and is balanced by a horizontal force Q at B, 60 mm above O. Find Q.

F = 50 NOA = 100 mmOB = 60 mm
Q = N
2.Easy
4 kN4.8 m1.8 m2.7 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 4 kN acts on leg AC at the point K, 1.44 m (horizontally) from A. Find the vertical reaction By at the roller.

P = 4 kNAB = 4.8 mhorizontal distance A to K = 1.44 m
By = kN
3.Medium
10 kN5 m2.5 m2.25 mABCK

The frame shown has pins at A, B and C; A and C are fixed to the ground 5 m apart, and B is 2.5 m above the ground and 2.25 m to the right of A. A vertical load of 10 kN acts on member AB at K, 1.35 m (horizontally) from A. Find the force FBC in member BC.

P = 10 kNL = 5 mH = 2.5 mhorizontal distance A to B = 2.25 mhorizontal distance A to K = 1.35 m
FBC = kN
4.Medium
400 NQ = ?30°ABC

In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 30° with the line AC. A downward force of 400 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.

F = 400 Nθ = 30°
Q = N
5.Hard
6 kN1 kN3 m1.5 mABC

A uniform horizontal boom AB of weight 1 kN is pinned to a wall at A and held by a cable from its end B to the point C on the wall, 1.5 m above A. A load of 6 kN hangs at B. Find the tension T in the cable.

W = 6 kNWb = 1 kNAB = 3 mAC = 1.5 m
T = kN
6.Hard
12 kN4 m1 m2 mABCDE

The A-frame shown stands on a pin at A and a roller at B, 4 m apart. The legs meet at the pin C, 3 m high, and are tied by the horizontal bar DE at 1 m. A horizontal force of 12 kN to the right acts at C. Find the tension T in the tie.

P = 12 kNAB = 4 mheight of C = 3 mheight of DE = 1 m
T = kN

Answer key

  1. 1. Q = 83.33 N
  2. 2. By = 1.2 kN
  3. 3. FBC = 4.014 kN
  4. 4. Q = 346.4 N
  5. 5. T = 14.53 kN
  6. 6. T = 9 kN

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