Combined Loading on an L-shaped beam

  • Context: Engineering 
  • Thread starter Thread starter morpheus343
  • Start date Start date
  • Tags Tags
    Mechanics of materials
Click For Summary
SUMMARY

The forum discussion focuses on calculating the axial force (Fy) and bending moment (M) on an L-shaped beam subjected to combined loading. The user initially attempts to derive these values using stress equations and strain measurements obtained from rosettes. Participants suggest producing shear and moment diagrams to identify potential errors and emphasize the importance of using LaTeX for mathematical clarity. The discussion highlights the necessity of understanding the relationship between external loads and internal moments, particularly at points a, b, c, and d along the beam.

PREREQUISITES
  • Understanding of stress and strain relationships in materials
  • Familiarity with shear and moment diagrams
  • Knowledge of LaTeX for mathematical formatting
  • Basic principles of static equilibrium in structural analysis
NEXT STEPS
  • Learn how to create shear and moment diagrams for beams
  • Study the application of LaTeX for formatting equations in discussions
  • Explore the principles of static equilibrium and their application in structural analysis
  • Investigate the effects of combined loading on structural elements
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in analyzing beam mechanics and combined loading scenarios will benefit from this discussion.

  • #31
In order to find the bending moment at each point
 
  • Like
Likes   Reactions: erobz
Physics news on Phys.org
  • #32
morpheus343 said:
In order to find the bending moment at each point
Yes, the moment at section ##a-b## and ##c-d## are defined by ##M(x)## which is a function of ##F_x, F_y##.

Before you were applying the same moment at point ##b## and ##d##. But they are ##10 ~ \rm{cm}## apart. So they don't have the same internal moment.

You have two other points to consider, so maybe you can even solve for ##L##, I don't know...You'll have to try that out.

To me it appears as though section ##a-b## is at ##\frac{L}{2}## but that isn't specified anywhere - I'm skeptical, but who knows.

Also, it’s not clear whether or not the height of the I beam ( ##20 \rm{cm}## )is to be neglected against ##L##, that would factor into your external moment.
 
Last edited:
  • #33
I see, i will work the algebra and see if i can solve it, but i think there are too many unknowns.(##F_x##, ##F_y##, ##M_B##, ##L##, ##x## distance). And i only have 4 equations, one of each of the combined stress at each point. Thank you for your time and help
 
  • Like
Likes   Reactions: erobz

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K