Structural
Use of Euler-Bernoulli beam calculations for structures.
My web-based Euler-Bernoulli Rectangular Hollow Section beam calculator
Where the answer is provided by the relation of
stress and deflection
, the Second Moment of Area "I" (the "bedrock" of beam analysis
equations) has cross-cancelled out giving these single simple
equations.
In one application checking for acceptable loading on an in-service
beam about which nothing is known, all information needed can be
gleaned using a string and a tape-measure.
Done over 17 days, these 3 projects form a progression. Various objectives were served:
The three projects:
First working on 22nd January 2021; able to take every sample breaking abruptly at highest load reached - tough unrestricted-application
This is a fillet weld tensile strength test technique .
Conveying the more human story intertwining the technical story in an overview and path of the late 2020 / early 2021 series of mini-programmes
Application of Finite Element Analysis (FEA) modelling - representing in a parallel universe of theory and numbers FEA of the beam-configuration fillet-weld tensile test
Just modelled and not carefully considered yet - so presented advisedly - 3-D FEA of the BCFWTT weld area .
Fillet welds are an interesting topic because the designer is free to specify size, and other features, while the optimal choice does not inherently "suggest itself". They are economical and reliable to make, so understanding them by investigation can present good engineering choices.
Findings and analysis for fillet welds
In January 2021, I present
Proposal : research path to high-strength steel fatigue-resistant welded structures
which seeks a host for this investigative programme aiming to make use
of the observation that fillet welds can show fatigue resistances
approaching those of the steels they are joining.
For the Beam-Configuration Fillet-Weld Tensile Test, previously 3-D
Finite Element Analysis modelled for a tested
steel
sample,
now complimented by model of a hypothetical geometrically identical
aluminium BCFWTT
sample.
Finite Element Analysis modelling of Beam-Configuration Fillet-Weld
Tensile Test, where the same geometry and loading is retained, but the
Poisson's Ratio is varied across a wide range:
FEA3D of BCFWTT for range of Poisson's Ratios
.
It is demonstrated that Poisson's Ratio in the range of all
engineering metals and alloys has little effect on the BCFWTT stresses
and deflections.
Which means one simulation of the BCFWTT is needed, as stresses stay
the same for all metals under the same load, and deflections can be
calculated as a ratio of the Elastic Modulii of the metals.
{no verification by tests on real samples of other metals has yet
been obtained}.