Beam support reactions worksheet with answers

Free printable Beam support reactions 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 = 55 kNABMA​ = ?8 m

The cantilever beam is fixed to the wall at A and carries a point load P at its free end B. Find the magnitude of the reaction moment MA at the wall.

L = 8 mP = 55 kN at 8 m
MA = kN·m
2.Easy
P = 40 kNABRA​RB​ = ?7 m1 m

The simply supported beam has a pin at A and a roller at B. Find the vertical support reaction RB.

L = 8 mP = 40 kN at 7 m
RB = kN
3.Medium
w = 12 kN/mP = 60 kNABMA​ = ?6 m4 m

The cantilever beam is fixed to the wall at A. It carries a uniformly distributed load w along its whole length and a point load P at 6 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 10 mP = 60 kN at 6 mw = 12 kN/m from 0 to 10 m
MA = kN·m
4.Medium
w = 8 kN/mP = 15 kNABMA​ = ?5 m

The cantilever beam is fixed to the wall at A. It carries a uniformly distributed load w along its whole length and a point load P at 5 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 5 mP = 15 kN at 5 mw = 8 kN/m from 0 to 5 m
MA = kN·m
5.Hard
w0​ = 10 kN/mP = 75 kNABMA​ = ?2 m3 m

The cantilever beam is fixed to the wall at A. It carries a linearly varying load that is 10 kN/m at the wall and falls to zero at the free end B, plus a point load P at 2 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 5 mw0 = 10 kN/mP = 75 kN at 2 m
MA = kN·m
6.Hard
w0​ = 8 kN/mP = 10 kNABMA​ = ?3 m5 m

The cantilever beam is fixed to the wall at A. It carries a linearly varying load that is 8 kN/m at the wall and falls to zero at the free end B, plus a point load P at 3 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 8 mw0 = 8 kN/mP = 10 kN at 3 m
MA = kN·m

Answer key

  1. 1. MA = 440 kN·m
  2. 2. RB = 35 kN
  3. 3. MA = 960 kN·m
  4. 4. MA = 175 kN·m
  5. 5. MA = 191.7 kN·m
  6. 6. MA = 115.3 kN·m

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