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
P = 55 kNABRA​ = ?RB​3 m7 m

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

L = 10 mP = 55 kN at 3 m
RA = kN
2.Easy
P = 20 kNABMA​ = ?3.5 m1.5 m

The cantilever beam is fixed to the wall at A and carries a point load P at 3.5 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 5 mP = 20 kN at 3.5 m
MA = kN·m
3.Medium
w = 12 kN/mP = 40 kNABMA​ = ?4 m5 m1 m

The cantilever beam is fixed to the wall at A. It carries a uniformly distributed load w from the wall to 4 m and a point load P at 9 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 10 mP = 40 kN at 9 mw = 12 kN/m from 0 to 4 m
MA = kN·m
4.Medium
P1​ = 25 kNP2​ = 60 kNABCRA​ = ?1 m3 m2 m

The beam has a pin at A and a roller at B, 4 m from A, and overhangs B to the free end C. Find the vertical reaction RA, taking upward as positive.

AB = 4 mAC = 6 mP1 = 25 kN at 1 mP2 = 60 kN at 6 m
RA = kN
5.Hard
w = 5 kN/mP = 60 kNABRA​RB​ = ?3 m1 m4 m

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

L = 8 mP = 60 kN at 3 mw = 5 kN/m from 4 to 8 m
RB = kN
6.Hard
w = 12 kN/mP = 50 kNABCRA​ = ?2 m0.5 m1.5 m

The beam has a pin at A and a roller at B, 2.5 m from A, and overhangs B to the free end C. It carries a point load P at 2 m from A and a uniformly distributed load w from 2 m to the free end at 4 m. Find the vertical reaction RA, taking upward as positive.

AB = 2.5 mAC = 4 mP = 50 kN at 2 mw = 12 kN/m from 2 to 4 m
RA = kN

Answer key

  1. 1. RA = 38.5 kN
  2. 2. MA = 70 kN·m
  3. 3. MA = 456 kN·m
  4. 4. RA = −11.25 kN
  5. 5. RB = 37.5 kN
  6. 6. RA = 5.2 kN

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