User-reference arithmetic
Deflection comparison
Inputs
User-entered deflection from a separately established model; no load model is inferred.
User-entered span associated with the stated deflection reference.
User-entered scalar such as 240 or 360; this workspace does not select a requirement.
Results
Declared-reference deflection
6.6667
Declared deflection / reference
0.75
—Reference minus declared deflection
1.6667
δreference = L / nreference; ratio = δdeclared / δreference
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Compare a deflection to a span/reference denominator and report the ratio and arithmetic difference without selecting a limit or judging adequacy.
δreference = L / nreference; ratio = δdeclared / δreference
When
- Declared span
- User-entered reference denominator
- Scalar comparison only
Don’t
- This compares a user-entered calculated deflection to a user-entered span/reference denominator. It does not select a limit, validate the upstream deflection model, establish a serviceability requirement, judge adequacy, apply a code, or approve a design.
Roark's Formulas for Stress and Strain — beam deflection reference cases