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 = 35 kNABRA​RB​ = ?1.5 m2.5 m

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

L = 4 mP = 35 kN at 1.5 m
RB = kN
2.Easy
P = 25 kN, 40°ABRB​ = ?3 m2 m

The simply supported beam has a pin at A and a roller at B. A point load P acts at 3 m from A, inclined at 40° to the horizontal. Find the vertical support reaction RB.

L = 5 mP = 25 kN at 3 mθ = 40°
RB = kN
3.Medium
w = 4 kN/mP = 25 kNABMA​ = ?3.5 m2.5 m

The cantilever beam is fixed to the wall at A. It carries a uniformly distributed load w along its whole length and a point load P at 3.5 m from the wall. Find the magnitude of the reaction moment MA at the wall.

L = 6 mP = 25 kN at 3.5 mw = 4 kN/m from 0 to 6 m
MA = kN·m
4.Medium
P1​ = 15 kNP2​ = 40 kNABRA​ = ?RB​1 m1 m3 m

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

L = 5 mP1 = 15 kN at 1 mP2 = 40 kN at 2 m
RA = kN
5.Hard
w = 8 kN/mP = 45 kNABCRB​ = ?2 m2 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 2 m from A and a uniformly distributed load w from 4 m to the free end at 8 m. Find the vertical reaction RB, taking upward as positive.

AB = 5 mAC = 8 mP = 45 kN at 2 mw = 8 kN/m from 4 to 8 m
RB = kN
6.Hard
P = 35 kNQ = 65 kNADCRD​ = ?0.5 m2.5 m0.5 m2.5 m

A compound beam is fixed to the wall at A, has an internal hinge at C (3 m from A) and rests on a roller at D (6 m from A). It carries a point load P at 3.5 m from A and a point load Q at 0.5 m from A. Find the reaction RD at the roller.

AC = 3 mAD = 6 mP = 35 kN at 3.5 mQ = 65 kN at 0.5 m
RD = kN

Answer key

  1. 1. RB = 13.13 kN
  2. 2. RB = 9.642 kN
  3. 3. MA = 159.5 kN·m
  4. 4. RA = 36 kN
  5. 5. RB = 56.4 kN
  6. 6. RD = 5.833 kN

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