How Do Forces Differ in Multiple Members of a Structure?

Click For Summary
SUMMARY

The discussion focuses on determining the forces in multiple members of a structure, specifically addressing a homework problem involving equilibrium equations and force distribution. The key takeaway is that the forces in the two members are not necessarily equal, contrary to initial assumptions. The solution involves calculating the end reaction at point C using equilibrium equations in the x direction, followed by constructing free body diagrams (FBD) for each member to analyze the forces accurately.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with free body diagrams (FBD)
  • Knowledge of stress calculations using σ=F/A
  • Basic grasp of structural analysis concepts
NEXT STEPS
  • Study the method of joints in truss analysis
  • Learn about calculating reactions at supports in structures
  • Explore advanced topics in structural mechanics
  • Review examples of equilibrium equations in two-dimensional structures
USEFUL FOR

This discussion is beneficial for civil engineering students, structural engineers, and anyone involved in analyzing forces within structural systems.

gikiian
Messages
98
Reaction score
0

Homework Statement



(please see the attachment)

Homework Equations



σ=F/A

The Attempt at a Solution


I just can't figure out how to find the forces in the two members.
Actually I thought the force in both members will be the same, but according to the problem statement it clearly isn't that way.
Kindly help me with this.
 

Attachments

  • Untitled.png
    Untitled.png
    11.4 KB · Views: 613
Physics news on Phys.org
You should determine the end reaction at C first, using the equilibrium equation in the x direction. C will be a function of the unknown force P. Then a FBD of each part will give the force in that part, then set the stresses in each part equal to solve for P. Please show your workings.
 
Yeah, I got it. Thanks :)
 

Similar threads

Replies
5
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 8 ·
Replies
8
Views
3K