Facade Statics: Beam Analysis

Sample Beam Report

Below you can see a sample continuous beam analysis report prepared by facade consultant and civil engineer Utku Çiçek. The report includes deflection, moment and shear diagrams; maximum moment, maximum deflection, and support reactions.

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Continuous Beam Analysis [ Finite Element Method ]

Project Subject Prepared by Approved by

1) Beam & Material

Length L (mm) Material Elastic Modulus E (MPa) Second Moment of Area I (cm⁴) Section Modulus W (cm³)

2) Supports

Note: 0 = restrained — no motion on that DOF.
DOF: u (horizontal – info), v (vertical), θ (rotation).
pinned: u=0, v=0, θ free · roller: u free, v=0, θ free · fixed: u=0, v=0, θ=0

3) Uniformly Distributed Load (UDL)

4) Point Load

Model (Supports, Loads, Reactions)

Reactions Vertical Load

Summary

|V|_max

–

|M|_max

–

|δ|_max (mm)

–

σ_max

–

#	Type	x (mm)	Reaction V (kN)

Diagrams

Design – Eurocode [ SLS (deflection) & ULS (stress) ]

Vertical profile (mullion) – Wind Load
SLS (Serviceability Limit State) — EN 13830 Clause 5.7–5.8:
L ≤ 3000 mm → L/200,
3000 < L < 7500 mm → 5 mm + L/300,
L ≥ 7500 mm → L/250.
ULS (Ultimate Limit State) — M_d = M_max × 1.5, permissible stress = fy / γ_M

Horizontal profile (transom) – Dead Load
SLS — EN 13830 Clause 5.6: deflection limit min(L/500, 3 mm).
ULS — M_d = M_max × 1.35, permissible stress = fy / γ_M

Design type Material (text – optional) Report note Material type (ULS) Yield strength (ULS) MPa

SLS (Deflection)

–

Δ_max and limit comparison

ULS (Stress)

–

σ_d / allowable and M_d

Note / Disclaimer (FEM): This tool approximately solves continuous beams using the 2D Euler–Bernoulli assumptions and the Finite Element Method (matrix displacement). The model assumes linear elastic behavior, small deformations, only vertical loads, selected support types and user inputs. Shear deformation, axial effects, second-order (P–Δ) and local buckling are not included by default.

Software/solver may include errors or inconsistencies due to unit conversions, numerical solution, rounding, browser differences and user inputs. Therefore, results are for preliminary sizing and educational purposes only; the final design must be independently verified and approved by competent engineers according to relevant standards. Beus Facade is not responsible for any damages arising from applications based on the results of this tool.