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 = 70 kNABRA​ = ?RB​3 m5 m

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

L = 8 mP = 70 kN at 3 m
RA = kN
2.Easy
P = 50 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 = 50 kN at 8 m
MA = kN·m
3.Medium
P1​ = 15 kNP2​ = 60 kNABRA​RB​ = ?5 m1 m2 m

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

L = 8 mP1 = 15 kN at 5 mP2 = 60 kN at 6 m
RB = kN
4.Medium
w = 10 kN/mP = 55 kNABMA​ = ?1.5 m0.5 m3 m

The cantilever beam is fixed to the wall at A. It carries a uniformly distributed load w from the wall to 2 m and a point load P at 1.5 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 5 mP = 55 kN at 1.5 mw = 10 kN/m from 0 to 2 m
MA = kN·m
5.Hard
w = 4 kN/mP = 70 kNABCRA​ = ?4 m2 m2 m2 m

The beam has a pin at A and a roller at B, 8 m from A, and overhangs B to the free end C. It carries a point load P at 4 m from A and a uniformly distributed load w from 6 m to the free end at 10 m. Find the vertical reaction RA, taking upward as positive.

AB = 8 mAC = 10 mP = 70 kN at 4 mw = 4 kN/m from 6 to 10 m
RA = kN
6.Hard
w0​ = 8 kN/mP = 15 kNABMA​ = ?4 m2 m

The cantilever beam is fixed to the wall at A. It carries a linearly varying load that is zero at the wall and rises to 8 kN/m at the free end B, plus a point load P at 4 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 6 mw0 = 8 kN/mP = 15 kN at 4 m
MA = kN·m

Answer key

  1. 1. RA = 43.75 kN
  2. 2. MA = 400 kN·m
  3. 3. RB = 54.38 kN
  4. 4. MA = 102.5 kN·m
  5. 5. RA = 35 kN
  6. 6. MA = 156 kN·m

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