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 kN0.5 m1 m0.5 mABCD

A horizontal beam AB is pinned to a wall at A and propped by the strut CD, pinned to the wall at C, 0.5 m below A. A load of 10 kN hangs at the free end B. Neglect the weights. Find the force FCD in the strut.

P = 10 kNAD = 0.5 mAB = 1.5 mAC = 0.5 m
FCD = kN
2.Easy
6 kN3.2 m1 m3 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, 4 m high, and are tied together by the horizontal bar DE at a height of 1 m. A load of 6 kN acts at C. Find the tension T in the tie DE.

P = 6 kNAB = 3.2 mheight of C = 4 mheight of DE = 1 m
T = kN
3.Medium
200 NQ = ?5°ABC

In the toggle clamp shown, two equal links AB and BC are pinned together at B, and each makes 5° with the line AC. A downward force of 200 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.

F = 200 Nθ = 5°
Q = N
4.Medium
300 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 300 N is applied at B. The slider C presses on a workpiece. Neglecting friction and weights, find the horizontal clamping force Q.

F = 300 Nθ = 25°
Q = N
5.Hard
12 kN0.5 kN6 m4 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, 4 m above A. A load of 12 kN hangs at B. Find the tension T in the cable.

W = 12 kNWb = 0.5 kNAB = 6 mAC = 4 m
T = kN
6.Hard
4 kN1.5 kN6 m2 mABC

A uniform horizontal boom AB of weight 1.5 kN is pinned to a wall at A and held by a cable from B to the point C on the wall, 2 m above A. A load of 4 kN hangs at B. Find the magnitude of the pin reaction A.

W = 4 kNWb = 1.5 kNAB = 6 mAC = 2 m
A = kN

Answer key

  1. 1. FCD = 42.43 kN
  2. 2. T = 1.6 kN
  3. 3. Q = 1143 N
  4. 4. Q = 321.7 N
  5. 5. T = 22.08 kN
  6. 6. A = 14.27 kN

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