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.

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
10 kN3.2 m0.8 m1.2 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, 2 m high, and are tied together by the horizontal bar DE at a height of 0.8 m. A load of 10 kN acts at C. Find the tension T in the tie DE.

P = 10 kNAB = 3.2 mheight of C = 2 mheight of DE = 0.8 m
T = kN
2.Easy
2 kN4.8 m1.2 m2.4 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, 3.6 m high, and are tied together by the horizontal bar DE at a height of 1.2 m. A load of 2 kN acts at C. Find the tension T in the tie DE.

P = 2 kNAB = 4.8 mheight of C = 3.6 mheight of DE = 1.2 m
T = kN
3.Medium
OAB80 NQ300 mm120 mmFO​ = ?

The bell crank shown turns about the pin O. A vertical force of 80 N at A (300 mm from O) is balanced by a horizontal force at B (120 mm above O). Find the magnitude of the pin reaction FO.

F = 80 NOA = 300 mmOB = 120 mm
FO = N
4.Medium
150 NQ = ?25°ABC

In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 25° with the line AC. A downward force of 150 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.

F = 150 Nθ = 25°
Q = N
5.Hard
15 kN0.5 kN3 m1 mABC

A uniform horizontal boom AB of weight 0.5 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 1 m above A. A load of 15 kN hangs at B. Find the magnitude of the pin reaction A.

W = 15 kNWb = 0.5 kNAB = 3 mAC = 1 m
A = kN
6.Hard
15 kN3 kN2 m1.5 mABC

A uniform horizontal boom AB of weight 3 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 1.5 m above A. A load of 15 kN hangs at B. Find the magnitude of the pin reaction A.

W = 15 kNWb = 3 kNAB = 2 mAC = 1.5 m
A = kN

Answer key

  1. 1. T = 6.667 kN
  2. 2. T = 1 kN
  3. 3. FO = 215.4 N
  4. 4. Q = 160.8 N
  5. 5. A = 45.75 kN
  6. 6. A = 22.05 kN

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