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 = 15 kN, 30°ABAx​ = ?4.5 m1.5 m

The simply supported beam has a pin at A and a roller at B. A point load P acts at 4.5 m from A, inclined at 30° to the horizontal. Find the magnitude of the horizontal reaction Ax at the pin A.

L = 6 mP = 15 kN at 4.5 mθ = 30°
Ax = kN
2.Easy
P = 35 kN, 30°ABAx​ = ?5.5 m0.5 m

The simply supported beam has a pin at A and a roller at B. A point load P acts at 5.5 m from A, inclined at 30° to the horizontal. Find the magnitude of the horizontal reaction Ax at the pin A.

L = 6 mP = 35 kN at 5.5 mθ = 30°
Ax = kN
3.Medium
P1​ = 45 kNP2​ = 40 kNABRA​ = ?RB​4 m1 m3 m

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

L = 8 mP1 = 45 kN at 4 mP2 = 40 kN at 5 m
RA = kN
4.Medium
w = 4 kN/mP = 50 kNABRA​ = ?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 vertical reaction RA at the wall.

L = 8 mP = 50 kN at 5 mw = 4 kN/m from 0 to 5 m
RA = kN
5.Hard
w = 8 kN/mP = 35 kNABRA​RB​ = ?3 m1 m1 m1 m

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

L = 6 mP = 35 kN at 3 mw = 8 kN/m from 4 to 5 m
RB = kN
6.Hard
w0​ = 6 kN/mP = 30 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 6 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 = 6 kN/mP = 30 kN at 7 m
MA = kN·m

Answer key

  1. 1. Ax = 12.99 kN
  2. 2. Ax = 30.31 kN
  3. 3. RA = 37.5 kN
  4. 4. RA = 70 kN
  5. 5. RB = 23.5 kN
  6. 6. MA = 410 kN·m

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