Related Resources: calculators

Column Loading and Elastic Stability Case 3B2. Formulae and Calculator

Strength Mechanics of Materials
Beam Deflections, Stress Analysis and Engineering

Column Loading and Elastic Stability Formulae and Calculator Case 3B2.

Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; several end conditions both ends pinned.

Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; several end conditions Upper end free, lower end fixed.

Preview: Column Loading and Elastic Stability Calculator Case 3b2

NOTATION:

P = Load (force) (lbs, N);
(pa)' = Critical unit load (force per unit length), (lbs, N);
E = modulus of elasticity (force per unit area) (psi, Pa);
I = moment of inertia of cross section about central axis perpendicular to plane of buckling ( in4, mm4 )
l = Length of bar (in, mm),
K = Derived from ratios as follows (see table):
1.) a / l
2.) P / pa

Formulae:

(pa)' = K ( π2 E I ) / l2

(a negative value for P/pa means the end load is tensile)

References:

Roark's Formulas for Stress and Strain, Eight Edition

Contribute Article
Spider Optimizer

© Copyright 2000 - 2020, by Engineers Edge, LLC www.engineersedge.com
All rights reserved
Disclaimer | Feedback | Advertising | Contact

Date/Time:


User Reviews/Comments:

There are currently no comments available.


Add a Comment (you must be logged in to post comment Register):
Name:
Email: (Optional)
Comment: