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SS-V: 1150 Buckling

Test No. VS16 Find the critical compression load at which the cantilever beam buckles.

Definition



Figure 1.

Dimensions: L = 1000 mm, b = 20 mm, h = 20 mm

Where,
b
Breadth of the rectangular section.
h
Height of the rectangular section.
The material properties are:
Properties
Value
Modulus of Elasticity
2.1e11 pa
Poisson's Ratio
0.3

Results

The following table summarizes the critical load.
  Reference KN* SimSolid KN
Critical Load 6.90 6.904
*The reference result is calculated by:
Pcr=π2EI(KL)2
Where,
E
Elastic modulus.
I
Area moment of inertia.
L
Length of the beam.
K
Effective length factor = 2 for cantilever beam.
1
James M. Gere, Mechanics of Materials, 6th Edition.