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
P = 25 kNABsection1 m7 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 = 8 mP = 25 kN at 1 mx = 1 m
Mx = kN·m
2.Easy
P = 80 kNAB4 m6 m

The simply supported beam carries a single point load P. Find the shear force Vx just to the left of the load. Use sagging moments positive and upward shear on the left face positive.

L = 10 mP = 80 kN at 4 m
Vx = kN
3.Medium
w = 8 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 = 8 kN/m from 0 to 8 mx = 4.5 m
Mx = kN·m
4.Medium
w = 8 kN/mP = 80 kNAB2 m

The cantilever is fixed at A. It carries a uniformly distributed load w over its whole length and a point load P at 2 m from A. Find the bending moment MA at the fixed support A. Use sagging moments positive and upward shear on the left face positive.

L = 2 mP = 80 kN at 2 mw = 8 kN/m from 0 to 2 m
MA = kN·m
5.Hard
w = 10 kN/mP = 60 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 = 60 kN at 2.5 mw = 10 kN/m from 0 to 4 mx = 2.5 m
Mx = kN·m
6.Hard
w = 3 kN/mP = 45 kNAB1.5 m2.5 m

The simply supported beam carries a uniformly distributed load w over its whole span and a point load P. Find the maximum bending moment Mmax in the beam.

L = 4 mP = 45 kN at 1.5 mw = 3 kN/m from 0 to 4 m
Mmax = kN·m

Answer key

  1. 1. Mx = 21.88 kN·m
  2. 2. Vx = 48 kN
  3. 3. Mx = 63 kN·m
  4. 4. MA = −176 kN·m
  5. 5. Mx = 75 kN·m
  6. 6. Mmax = 47.81 kN·m

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