Lumoship Products Structural Analysis BeamCore

BeamCore

Beam Structural Analysis — Direct Stiffness Method

v1.0
Project Information
Report Assets
Click to upload

Logo, designer name and project details appear on the exported PDF calculation sheet.

Span & Section
Profile Type
L
T
FB
HP
Height × t
Area A
Inertia I
Attached Plate
Beam Viewer
100%

Live schematic — updates automatically as you edit span, supports and loads.

Material
ReH (yield)235 N/mm²
σ_all = ReH × Factor157.5 N/mm²
Supports
#Pos [m]Type

Pinned = vertical restraint. Fixed = vertical + rotation.

Applied Loads
#TypeMag.StartEnd

Downward forces positive. UDL: fill Start & End. Point/Moment: use Start as location.

Saved Cases
0

No saved cases yet. Build a model, name it, and click Save to keep it for this session.

Max Moment
kN·m
Max Shear
kN
Max Deflection
mm
Overall
Status
Design Checks
CheckActualAllowableUtilizationStatus
Support Reactions
SupportPosition [m]TypeReaction R [kN]Moment M [kN·m]
Analysis Diagrams
Free Body — Loading & Supports
Shear Force Diagram — V [kN]
Bending Moment Diagram — M [kN·m]
Deflection — δ [mm]
Beam Viewer — Expanded
100%

Scroll to zoom · drag to pan · double-click background to close

The Marine Beam Calculator Built for Naval Architects

BeamCore is part of Lumoship, a modern marine structural engineering software suite designed for naval architects, ship designers, and marine structural engineers. While general-purpose beam calculators exist, BeamCore is purpose-built for the unique requirements of marine and shipbuilding applications.

Every feature, profile library, and material grade in BeamCore reflects the practical needs of marine engineering practice — from the EN 10067 Holland Profile (HP) catalog commonly used in stiffener design, to shipbuilding steel grades AH32 and AH36 specified by classification societies including DNV, Lloyd's Register, Bureau Veritas, and RINA.

How to Use BeamCore

The workflow is designed to mirror engineering practice:

1

Setup

Enter project information, designer name, and analysis date. These details appear on the exported PDF calculation sheet for documentation.

2

Define Geometry

Set the beam length and select your profile. Choose from Flat Bar (FB), L-Profile, T-Profile, or pick from the complete HP catalog per EN 10067. Add an attached plate if modeling a stiffened panel.

3

Material & Safety

Select steel grade (A, AH32, AH36) and a safety factor. Allowable stress is calculated automatically based on the yield strength and chosen factor.

4

Supports

Add any number of supports at any position. Choose between pinned (vertical restraint), fixed (vertical + rotation), or roller. BeamCore handles statically determinate and indeterminate structures.

5

Loads

Apply point loads, uniformly distributed loads (UDL), or applied moments. Mix and match load types. Define location for point loads and start/end positions for UDLs.

6

Analyze

Click "Run Analysis". BeamCore computes reactions, shear forces, bending moments, and deflections using the Direct Stiffness Method. Results appear as numerical values and diagrams within seconds.

Common Analysis Scenarios

Simply Supported Beam — UDL

Classic deck beam or stiffener under uniform pressure. Two pinned/roller supports at the ends, UDL across the span. BeamCore returns the well-known wL²/8 maximum moment at midspan.

Cantilever — Point Load

Bracket structure or overhanging member. One fixed support, point load at the free end. Maximum moment occurs at the fixed support (PL).

Continuous Beam — Multi-Span

Continuous deck longitudinal over multiple frames. Add three or more supports, apply UDL. Hyperstatic — BeamCore solves automatically.

Propped Cantilever

One end fixed (e.g., welded to a bulkhead), other end on a support. Combines fixed-end characteristics with simple span behavior. Single solver step.

Beam with Mixed Loads

Real-world combinations — equipment as point loads, hydrostatic pressure as UDL, plus applied moments at hatch corners. BeamCore superposes them all.

Why BeamCore vs. Generic Beam Calculators?

Marine-First Profile Library

Built around the EN 10067 HP (Holland Profile) catalog — the standard bulb-flat stiffener used in shipbuilding worldwide. Generic calculators don't include these.

Shipbuilding Steel Grades

AH32 and AH36 grades pre-loaded with their correct ReH yield values. Standard structural engineering tools use civil grades (S235, S355).

Class Society Awareness

The profile catalog and grade selections reflect classification society requirements (DNV, Lloyd's Register, Bureau Veritas, RINA, Türk Loydu).

Attached Plate Modeling

Quickly model stiffened panels by attaching an effective plate width to the profile. Critical for ship deck and bottom structure analysis.

Free for 2026

No sign-up, no credit card, no usage limits. Lumoship is in early access throughout 2026, building real value before charging.

Modern, Browser-Based

Nothing to install. Works on any device with a browser. Results computed server-side using Python/NumPy for accuracy and reliability.

About Lumoship

BeamCore is one of multiple tools in the Lumoship suite — a software platform built specifically for marine structural engineering. The vision is a comprehensive, modern toolkit covering everything from concept design to class-compliant scantling analysis.

Currently available:

  • BeamCore — Beam structural analysis (this tool)
  • SectionPro — Section properties calculator for marine profiles

In development for 2026:

  • NODAL — Beam-based grillage solver for hatch covers, decks, bulkheads, and stiffened panels
  • Lumoship Midship — Multi-class scantling tool with full rule check support for DNV, Lloyd's Register, Bureau Veritas, and RINA

Lumoship is founded by Ebubekir Akarsu, a structural-focused naval architect with 7+ years of experience across European and Turkish marine engineering firms. The platform reflects real practitioner needs — built by an engineer, for engineers.

Learn more at lumoship.org.

Frequently Asked Questions

Is BeamCore really free?

Yes, BeamCore is completely free during 2026. No sign-up required, no usage limits, no hidden charges. Starting 2027, paid plans will become available for advanced features, but the core calculator will remain accessible.

What calculation method does BeamCore use?

BeamCore implements the Direct Stiffness Method based on Euler-Bernoulli beam theory. Calculations are performed server-side using Python and NumPy for numerical accuracy. Each beam is meshed into multiple elements (typically L/40 maximum element length) for high-resolution results.

Can I analyze multi-span continuous beams?

Yes. BeamCore handles any number of supports at any position along the beam. Two-span, three-span, or more continuous beams are supported. The solver automatically handles statically indeterminate structures.

Which profile types are supported?

BeamCore supports four profile types: Flat Bar (FB), L-Profile (angle), T-Profile, and Holland Profile (HP) per the EN 10067 catalog. The complete HP range from HP 60×4 to HP 400×16 is available with tabulated section properties.

What steel grades are available?

Three shipbuilding steel grades are pre-loaded with their correct yield strengths (ReH) per classification society requirements: Grade A (ReH = 235 N/mm²), AH32 (315 N/mm²), and AH36 (355 N/mm²). The elastic modulus is set to 206 GPa (per IACS standards).

Can I export results as PDF?

Yes. BeamCore generates a complete PDF calculation sheet including project information, geometry, loads, supports, analysis results, and diagrams. The PDF is suitable for design submittals and project records.

How accurate are the results?

BeamCore uses high-precision numerical methods. Results match analytical solutions to within machine precision for standard cases (simply supported, cantilever, etc.). The solver has been validated against textbook examples and finite element references.

Does BeamCore work offline?

No. BeamCore is a browser-based tool that computes results server-side. An internet connection is required. The server is hosted on Railway with 99.9% uptime. Results are returned within seconds for typical beam problems.

Can I save and load my projects?

Within a single session, you can save and load beam cases using the "Saved Cases" feature. Browser refresh clears these. Future versions will support persistent project storage with user accounts.

Who is BeamCore for?

BeamCore is designed for naval architects, marine structural engineers, ship designers, and shipbuilding draftsmen. It's also useful for academic purposes — marine engineering students learning beam analysis on real-world ship profiles.