Truss: method of joints worksheet with answers

Free printable Truss: method of joints 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
ABBCACACB55 kN8 m4 m3 m

Use the method of joints to find the force FAC in member AC. Give tension as positive and compression as negative.

span = 8 mheight = 3 mB is 4 m from Avertical load = 55 kN
FAC = kN
2.Easy
ABCDEFGH15 kN30 kN30 kN40 kN4 × 3 m3 m

Exactly one member of this truss carries no force under these loads. Which is the zero-force member? Click it in the diagram.

B: 15 kN ↓C: 30 kN ↓G: 30 kN ↓H: 40 kN ↓
  1. 1member AB
  2. 2member BC
  3. 3member CD
  4. 4member DE
  5. 5member FG
  6. 6member GH
  7. 7member AF
  8. 8member HE
  9. 9member BF
  10. 10member CG
  11. 11member DH
  12. 12member FC
  13. 13member HC
3.Medium
ABBCACACB45 kN8 m2 m3 m

Use the method of joints to find the force FBC in member BC. Give tension as positive and compression as negative.

span = 8 mheight = 3 mB is 2 m from Avertical load = 45 kN
FBC = kN
4.Medium
ABBCACACB40 kN8 m2 m3 m

Use the method of joints to find the force FAB in member AB. Give tension as positive and compression as negative.

span = 8 mheight = 3 mB is 2 m from Avertical load = 40 kN
FAB = kN
5.Hard
ABCDEFGH20 kN30 kN20 kN30 kN15 kN4 × 3 m4 m

Exactly one member of this truss carries no force under these loads. Which is the zero-force member? Click it in the diagram.

B: 20 kN ↓F: 30 kN ↓G: 20 kN ↓H: 30 kN ↓H: 15 kN ←
  1. 1member AB
  2. 2member BC
  3. 3member CD
  4. 4member DE
  5. 5member FG
  6. 6member GH
  7. 7member AF
  8. 8member HE
  9. 9member BF
  10. 10member CG
  11. 11member DH
  12. 12member FC
  13. 13member HC
6.Hard
ABCDEFGH10 kN40 kN35 kN30 kN35 kN4 × 4 m4 m

Exactly one member of this truss carries no force under these loads. Which is the zero-force member? Click it in the diagram.

B: 10 kN ↓C: 40 kN ↓D: 35 kN ↓F: 30 kN →H: 35 kN ↓
  1. 1member AB
  2. 2member BC
  3. 3member CD
  4. 4member DE
  5. 5member FG
  6. 6member GH
  7. 7member AF
  8. 8member HE
  9. 9member BF
  10. 10member CG
  11. 11member DH
  12. 12member FC
  13. 13member HC

Answer key

  1. 1. FAC = 36.67 kN
  2. 2. member DH
  3. 3. FBC = −25.16 kN
  4. 4. FAB = −36.06 kN
  5. 5. member DH
  6. 6. member CG

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