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
w = 6 kN/mABMA​ = ?4 m6 m

The cantilever beam is fixed to the wall at A and carries a uniformly distributed load w from 4 m to 10 m (the free end). Find the magnitude of the reaction moment MA at the wall.

L = 10 mw = 6 kN/m from 4 to 10 m
MA = kN·m
2.Easy
w = 8 kN/mABMA​ = ?2.5 m2.5 m

The cantilever beam is fixed to the wall at A and carries a uniformly distributed load w from 2.5 m to 5 m (the free end). Find the magnitude of the reaction moment MA at the wall.

L = 5 mw = 8 kN/m from 2.5 to 5 m
MA = kN·m
3.Medium
P1​ = 50 kNP2​ = 45 kNABRA​RB​ = ?1.5 m1.5 m2 m

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

L = 5 mP1 = 50 kN at 1.5 mP2 = 45 kN at 3 m
RB = kN
4.Medium
w = 2 kN/mP = 25 kNABRA​ = ?3 m1 m

The cantilever beam is fixed to the wall at A. It carries a uniformly distributed load w from the wall to 3 m and a point load P at 4 m from the wall. Find the vertical reaction RA at the wall.

L = 4 mP = 25 kN at 4 mw = 2 kN/m from 0 to 3 m
RA = kN
5.Hard
w = 3 kN/mP = 25 kNABRA​ = ?RB​1 m0.5 m1.5 m1 m

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

L = 4 mP = 25 kN at 1.5 mw = 3 kN/m from 1 to 3 m
RA = kN
6.Hard
w = 6 kN/mP = 20 kNABCRA​ = ?3 m2 m3 m

The beam has a pin at A and a roller at B, 5 m from A, and overhangs B to the free end C. It carries a point load P at 3 m from A and a uniformly distributed load w from 5 m to the free end at 8 m. Find the vertical reaction RA, taking upward as positive.

AB = 5 mAC = 8 mP = 20 kN at 3 mw = 6 kN/m from 5 to 8 m
RA = kN

Answer key

  1. 1. MA = 252 kN·m
  2. 2. MA = 75 kN·m
  3. 3. RB = 42 kN
  4. 4. RA = 31 kN
  5. 5. RA = 18.63 kN
  6. 6. RA = 2.6 kN

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