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 = 25 kNABRA​ = ?RB​1 m3 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 m
RA = kN
2.Easy
P = 35 kN, 40°ABRB​ = ?4 m1 m

The simply supported beam has a pin at A and a roller at B. A point load P acts at 4 m from A, inclined at 40° to the horizontal. Find the vertical support reaction RB.

L = 5 mP = 35 kN at 4 mθ = 40°
RB = kN
3.Medium
P1​ = 20 kNP2​ = 15 kNABRA​RB​ = ?1.5 m2.5 m1 m

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

L = 5 mP1 = 20 kN at 1.5 mP2 = 15 kN at 4 m
RB = kN
4.Medium
w = 5 kN/mP = 15 kNABMA​ = ?5 m3 m

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

L = 8 mP = 15 kN at 5 mw = 5 kN/m from 0 to 5 m
MA = kN·m
5.Hard
w0​ = 20 kN/mP = 35 kNABMA​ = ?7 m3 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 20 kN/m at the free end B, plus a point load P at 7 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 10 mw0 = 20 kN/mP = 35 kN at 7 m
MA = kN·m
6.Hard
w0​ = 6 kN/mP = 60 kNABMA​ = ?2 m4 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 6 kN/m 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 = 6 mw0 = 6 kN/mP = 60 kN at 2 m
MA = kN·m

Answer key

  1. 1. RA = 18.75 kN
  2. 2. RB = 18 kN
  3. 3. RB = 18 kN
  4. 4. MA = 137.5 kN·m
  5. 5. MA = 911.7 kN·m
  6. 6. MA = 192 kN·m

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