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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
M₀ = 50 kN·mABRB​ = ?1 m7 m

The simply supported beam has a pin at A and a roller at B. It carries only a clockwise couple of 50 kN·m applied at 1 m from A. Find the vertical reaction RB, taking upward as positive.

L = 8 mM₀ = 50 kN·m (clockwise) at 1 m
RB = kN
2.Easy
P = 70 kNABRA​RB​ = ?1.5 m4.5 m

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

L = 6 mP = 70 kN at 1.5 m
RB = kN
3.Medium
P1​ = 35 kNP2​ = 55 kNABRA​ = ?RB​3.5 m0.5 m1 m

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

L = 5 mP1 = 35 kN at 3.5 mP2 = 55 kN at 4 m
RA = kN
4.Medium
P1​ = 45 kNP2​ = 80 kNABCRB​ = ?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. Find the vertical reaction RB, taking upward as positive.

AB = 5 mAC = 8 mP1 = 45 kN at 3 mP2 = 80 kN at 8 m
RB = kN
5.Hard
w = 4 kN/mP = 40 kNABCRA​ = ?3 m1 m1 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 4 m to the free end at 8 m. Find the vertical reaction RA, taking upward as positive.

AB = 5 mAC = 8 mP = 40 kN at 3 mw = 4 kN/m from 4 to 8 m
RA = kN
6.Hard
P = 55 kN, 30°Q = 65 kNABRA​ = ?2 m1.5 m0.5 m

The simply supported beam has a pin at A and a roller at B. A load P acts at 3.5 m from A, inclined at 30° to the horizontal, and a vertical load Q acts at 2 m from A. Find the magnitude of the total reaction force RA at the pin A.

L = 4 mP = 55 kN at 3.5 m, θ = 30°Q = 65 kN at 2 m
RA = kN

Answer key

  1. 1. RB = 6.25 kN
  2. 2. RB = 17.5 kN
  3. 3. RA = 21.5 kN
  4. 4. RB = 155 kN
  5. 5. RA = 12.8 kN
  6. 6. RA = 59.67 kN

Full step-by-step solutions: practise this topic on examproblems.com.