View Single Post
  #5   Spotlight this post!  
Unread 10-02-2005, 11:34
Paul Copioli's Avatar Unsung FIRST Hero Woodie Flowers Award
Paul Copioli Paul Copioli is offline
President, VEX Robotics, Inc.
FRC #3310 (Black Hawk Robotics)
Team Role: Engineer
 
Join Date: Jun 2001
Rookie Year: 2000
Location: Rockwall, TX
Posts: 1,385
Paul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond reputePaul Copioli has a reputation beyond repute
Re: Designing arms against buckling

Trusses are very efficient means of transferring load. Weight efficient, that is. When it comes to pure buckling, total weight really doesn't matter. Critical load, the load at which buckling occurs, equals pi^2*E*Ia/L^2.

E is the Young's Modulus of the column (or column/core combination)
Ia is the area moment of inertia (mm^4 or in^4)
L is the length of the beam.

This equation is based on some assumptions, but the criteria for validity is, generally, that L/r must be grater than 100. r is the radius of gyration mentioned before. r^2 = Ia/Area.

Would a bridge with solid plate sides instead of trusses hold more load? Probably, depending on geometry conditions.

Would it weigh too much? Yep.

Would it be better or worse for dynamic conditions (think Tecumseh Narrows bridge)? Much worse. Mass is a major player for dynamic performance.