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.

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1.Easy

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

span = 8 mheight = 2 mB is 4 m from Avertical load = 45 kN

F_AC = kN

2.Easy

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

C: 10 kN ↓D: 25 kN ↓F: 35 kN ↓G: 40 kN ↓

1member AB
2member BC
3member CD
4member DE
5member FG
6member GH
7member AF
8member HE
9member BF
10member CG
11member DH
12member FC
13member HC

3.Medium

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

span = 6 mheight = 2 mB is 2 m from Avertical load = 50 kN

F_AB = kN

4.Medium

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

span = 5 mheight = 3 mB is 3 m from Avertical load = 50 kN

F_BC = kN

5.Hard

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

span = 8 mheight = 4 mB is 5 m from Avertical load = 50 kNhorizontal load = 20 kN →

F_AC = kN

6.Hard

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

span = 5 mheight = 3 mB is 1 m from Avertical load = 25 kNhorizontal load = 5 kN →

F_AB = kN

Answer key

1. F_AC = 45 kN
2. member BF
3. F_AB = −47.14 kN
4. F_BC = −36.06 kN
5. F_AC = 30.94 kN
6. F_AB = −17.92 kN

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