What Is the Maximum Bending Moment in a Loaded Beam?

Click For Summary
SUMMARY

The maximum bending moment in the simply supported beam ABCD, with a uniformly distributed load of 30 kN/m between supports A and C and concentrated loads of 50 kN at B and 20 kN at D, is calculated to be 275.10 kNm. This maximum moment occurs at a distance of 3.42 m from support A. The solution involves constructing shear and moment diagrams, which are essential for visualizing the effects of the loads on the beam.

PREREQUISITES
  • Understanding of beam mechanics and support conditions
  • Knowledge of shear and moment diagrams
  • Familiarity with uniformly distributed loads and point loads
  • Basic proficiency in structural analysis equations
NEXT STEPS
  • Study the principles of constructing shear and moment diagrams
  • Learn about the effects of point loads on bending moments
  • Explore the calculation of bending moments in continuous beams
  • Investigate advanced topics in structural analysis, such as the influence line method
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing beam loads and bending moments will benefit from this discussion.

warrio1010
Messages
8
Reaction score
0

Homework Statement


A beam ABCD simply supported at A and C. AB= 2 m, BC= 6 m, AC=8m and CD= 2 m. It carries a uniformly distributed load of 30 kN/m between A and C and concentrated loads of 50 kN and 20 kN at B and D respectively.

I want to find the maximum bending moment and its distance from the origin.


Homework Equations


I have tried M=(wx/2)*(L-x) but don't think this is right.


The Attempt at a Solution


The answer is 275.10 kNm, 3.42 m from support A.

Thanks
 
Physics news on Phys.org
Well these problems are usually attacked by starting with Shear Diagrams, then moment diagrams, also known as shear and moment diagrams.

Of course do not forget to account for discontinuous point loads.
 

Similar threads

Engineering Bending Moment for Simply Supported, Overhanging Beam with two Overhangs
  • · Replies 4 ·
Replies
4
Views
4K
What is the relationship between slope and bending moment in a penstock beam?
  • · Replies 6 ·
Replies
6
Views
2K
Minimizing the maximum bending moment
  • · Replies 3 ·
Replies
3
Views
2K
Finding Pure Bending Moment for Simply Supported Beam
  • · Replies 3 ·
Replies
3
Views
2K
Max Bending Stress: Find from Second Moment of Area
  • · Replies 3 ·
Replies
3
Views
3K
Calculating Bending Moments for a Round Bar: E=200x103 N/mm2, D=125mm
  • · Replies 9 ·
Replies
9
Views
3K
Max Moment of resistance of a simply supported beam
  • · Replies 8 ·
Replies
8
Views
10K
Determine the position and magnitude of the max bending moment
  • · Replies 48 ·
2
Replies
48
Views
8K
Determine the absolute maximum bending stress of the beam.
  • · Replies 2 ·
Replies
2
Views
8K
Position and magnitude of the maximum bending moment
  • · Replies 9 ·
Replies
9
Views
10K