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.

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1.Easy
35 kNABCDEFG2 m2 m2 m2 m2 m2 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.

35 kN @ 8 m
  1. 1A (x = 0 m)
  2. 2B (x = 2 m)
  3. 3C (x = 4 m)
  4. 4D (x = 6 m)
  5. 5E (x = 8 m)
  6. 6F (x = 10 m)
  7. 7G (x = 12 m)
2.Easy
P = 55 kNABsection2.5 m1.5 m

Find the bending moment Mx at the section x = 2.5 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 4 mP = 55 kN at 2.5 mx = 2.5 m
Mx = kN·m
3.Medium
w = 6 kN/mABsection5.5 m2.5 m

Find the bending moment Mx at the section x = 5.5 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 8 mw = 6 kN/m from 0 to 8 mx = 5.5 m
Mx = kN·m
4.Medium
P1​ = 35 kNP2​ = 40 kNAB1 m3 m4 m

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

L = 8 mP1 = 35 kN at 1 mP2 = 40 kN at 4 m
Mmax = kN·m
5.Hard
w = 8 kN/mP = 45 kNABsection6 m4 m

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

L = 10 mP = 45 kN at 6 mw = 8 kN/m from 0 to 10 mx = 6 m
Mx = kN·m
6.Hard
w = 6 kN/mP = 30 kNABsection1.5 m3.5 m

Find the bending moment Mx at the section x = 1.5 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 5 mP = 30 kN at 1.5 mw = 6 kN/m from 0 to 5 mx = 1.5 m
Mx = kN·m

Answer key

  1. 1. E (x = 8 m)
  2. 2. Mx = 51.56 kN·m
  3. 3. Mx = 41.25 kN·m
  4. 4. Mmax = 97.5 kN·m
  5. 5. Mx = 204 kN·m
  6. 6. Mx = 47.25 kN·m

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