Shear force & bending moment worksheet with answers

Free printable Shear force & bending moment 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
P = 75 kNABsection2 m8 m

Find the bending moment Mx at the section x = 2 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 10 mP = 75 kN at 2 mx = 2 m
Mx = kN·m
2.Easy
55 kNABCDEFG1 m1 m1 m1 m1 m1 m

The marks A to G split the beam into six equal parts. At which mark is the bending moment largest in size, sagging or hogging? Click it in the diagram.

55 kN @ 4 m
  1. 1A (x = 0 m)
  2. 2B (x = 1 m)
  3. 3C (x = 2 m)
  4. 4D (x = 3 m)
  5. 5E (x = 4 m)
  6. 6F (x = 5 m)
  7. 7G (x = 6 m)
3.Medium
w = 6 kN/mABsection6 m4 m

Find the shear force Vx at the section x = 6 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 10 mw = 6 kN/m from 0 to 10 mx = 6 m
Vx = kN
4.Medium
P1​ = 25 kNP2​ = 60 kNAB7 m2 m1 m

The simply supported beam carries two point loads. Find the maximum bending moment Mmax in the beam.

L = 10 mP1 = 25 kN at 7 mP2 = 60 kN at 9 m
Mmax = kN·m
5.Hard
w = 10 kN/mP = 25 kNABsection3 m2 m

Find the bending moment Mx at the section x = 3 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 5 mP = 25 kN at 3 mw = 10 kN/m from 0 to 5 mx = 3 m
Mx = kN·m
6.Hard
w = 4 kN/mP = 35 kNABsection4 m2 m

Find the bending moment Mx at the section x = 4 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 6 mP = 35 kN at 4 mw = 4 kN/m from 0 to 6 mx = 4 m
Mx = kN·m

Answer key

  1. 1. Mx = 120 kN·m
  2. 2. E (x = 4 m)
  3. 3. Vx = −6 kN
  4. 4. Mmax = 94.5 kN·m
  5. 5. Mx = 60 kN·m
  6. 6. Mx = 62.67 kN·m

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