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
15 kN/mABCDEFG2 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.

15 kN/m, 0–12 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 = 20 kNABsection5 m1 m

Find the bending moment Mx at the section x = 5 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 6 mP = 20 kN at 5 mx = 5 m
Mx = kN·m
3.Medium
w = 2 kN/mABsection2 m3 m

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

L = 5 mw = 2 kN/m from 0 to 5 mx = 2 m
Vx = kN
4.Medium
w = 5 kN/mABsection4.5 m3.5 m

Find the bending moment Mx at the section x = 4.5 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 8 mw = 5 kN/m from 0 to 8 mx = 4.5 m
Mx = kN·m
5.Hard
w = 4 kN/mP = 15 kNABsection1 m3 m

Find the bending moment Mx at the section x = 1 m from support A. Use sagging moments positive and upward shear on the left face positive.

L = 4 mP = 15 kN at 1 mw = 4 kN/m from 0 to 4 mx = 1 m
Mx = kN·m
6.Hard
w = 4 kN/mP = 35 kNABsection4 m1 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 = 5 mP = 35 kN at 4 mw = 4 kN/m from 0 to 5 mx = 4 m
Mx = kN·m

Answer key

  1. 1. A (x = 0 m)
  2. 2. Mx = 16.67 kN·m
  3. 3. Vx = 1 kN
  4. 4. Mx = 39.38 kN·m
  5. 5. Mx = 17.25 kN·m
  6. 6. Mx = 36 kN·m

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