Structural Engineering 101

Top 10 Free Structural Calculators Compared (Tested by Engineers) 

Moment of Inertia
  SDC Verifier

When you need beam section properties fast, you have two choices: 

  1. Open CAD or FEA software, model the cross-section, extract the results… and spend 15–20 minutes doing it. 
  1. Google best moment of inertia calculator and hope the tool you click is accurate, complete, and quick. 

The problem? Most free tools are either too basic (only area and inertia, no torsion or warping) or too locked down (half the outputs hidden behind a login or paywall). 

We tested ten popular free structural engineering calculators using the same shapes, same inputs, and the same engineer’s checklist — to see which ones are actually worth bookmarking.

What We Tested (and Why It Matters)?

We wanted this comparison to reflect real engineering needs, not just a list of features from a landing page. That’s why we used the same shapes, same inputs, and the same evaluation checklist for every calculator. 

Shapes tested 

  • I-beam (symmetrical) 
  • Flange width (bf): 200 mm 
  • Flange thickness (tf): 10 mm 
  • Web height (h): 300 mm 
  • Web thickness (tw): 8 mm 
  • Rectangular section 
  • Width (b): 200 mm 
  • Height (h): 300 mm 
  • T-section (asymmetric) 
  • Flange width (bf): 200 mm 
  • Flange thickness (tf): 10 mm 
  • Stem height (h): 300 mm 
  • Stem thickness (tw): 8 mm 

Inputs 

  • All in metric units, with identical dimensions across every tool, so the results could be compared line-by-line. 

Evaluation criteria 

  1. Properties calculated – Does it go beyond the basics (second moment of area I and section modulus Z) to include centroid location, torsional constant (J), warping constant (Cw), and shear area? 
  2. Speed of use – How many clicks and keystrokes until you get your numbers? 
  3. Export options – Can you download a PDF, email the results, or at least copy them cleanly into a report? 
  4. Usability – Is the interface clear, mobile-friendly, and easy to switch between units? 

We approached this like engineers, not marketers — focusing on accuracy, practicality, and the kind of reliability you’d expect if you were in the middle of a deadline-driven project. 

Quick Comparison Table 

Tool Name Shapes Supported I / Z J / Cw Export UX Speed Notes
Engineering Toolbox Basic shapes only ⚠️ No advanced properties; limited units
SkyCiv Section Builder Extensive (incl. fillet/rounding, built-up shapes) Via FEA ✅  (login) Broad shape library; rounding/fillets; CAD import
CalcTown Common profiles ⚠️ Separate pages per shape; limited mobile usability
MechaniCalc Moderate range ✅  (partial) Partial torsion support; 1 shape/session
SDC Verifier 9 standard cross-sections (Rectangular, Hollow Rectangular, Circular, Hollow Circular, I, T, Channel, L, Z) Advanced outputs (J, Cw, shear area); PDF/email export; no login; no fillet/rounding
Omni Calculator 6 basic shapes only Quick, easy tool; lacks advanced parameters and export options
Optimal Beam  Calculator ~8 basic shapes Part of a broader platform; no shape visualization; registration for more features
CalcForge 9 shapes (but custom shape is only for rectangle) Useful to check universal and American shapes’ moment of inertia, but very limited for custom shapes
CalcResource Moderate range Fine shape library; no visualization or export
CivilEngineer Online Moderate range Copy-past Includes elastic/plastic section modulus; results displayed in text box

Tool-by-Tool Breakdown

1. Engineering Toolbox

The Engineering ToolBox – Area Moment of Inertia Calculator is free online engineering tool. It focuses on calculating the second moment of area (I) and section modulus (Z) for common cross-sections, such as rectangles, squares, circles, I-beams, and hollow shapes. 

  SDC Verifier

Pros 

  • Free and instantly accessible — no login or registration. 
  • Fast for getting basic section properties like I and Z. 
  • Includes reference formulas and tables for common shapes. 

Cons 

  • No torsional constant (J) or warping constant (Cw) calculations. 
  • No export or save features — results must be copied manually. 
  • Limited unit handling and no built-in conversions beyond inertia units. 

Alongside the calculator, the page provides clear formulas, reference tables, and unit conversions, making it a handy resource for quick property checks without opening specialized software. While it’s not designed for advanced analysis, it works well for students, engineers, or designers who need fast, no-login access to basic section properties. 

Verdict 

Great for quick sanity checks or when you just need the basics without firing up CAD/FEA software. Not suitable for detailed design where torsion, warping, or complex geometry matter.

2. SkyCiv 

The SkyCiv Moment of Inertia and Centroid Calculator covers a wide range of standard shapes — from rectangles and circles to I-beams, angles, and channels — and calculates basic properties like I, Z, centroid, and more. The interface is clean and fast, but full access to advanced outputs (e.g., torsion constant J, warping constant Cw, plastic modulus) requires free signup. 

Here are result of calculations for l-beam section (symetric): 

  SDC Verifier    SDC Verifier

Here are results of calculations for rectangular section: 

  SDC Verifier

  SDC Verifier

Here are results of calculations for T-section (asymmetric): 

    SDC Verifier

  SDC Verifier

Pros 

  • Very large shape library, including fillets and custom CAD imports  
  • Can combine shapes to make built-up sections  
  • Clean, responsive user-friendly interface 

Cons 

  • Exporting results requires a login 
  • Advanced torsion/warping constants (Cw) only available via FEA module, not instant in the free tool 

Verdict 

Great if you need an unusual profile or want visual CAD-style modeling in-browser. Less ideal if you just want quick advanced properties without logging in. 

3. CalcTown

CalcTown offers a collection of individual calculators for finding the moment of inertia of various 2D and 3D shapes with uniform mass distribution. Each shape has its own dedicated page, typically with a formula, input fields, and instant results.

  SDC Verifier

Pros

  • Simple, formula-based interface for common shapes
  • Useful for quick manual checks or learning purposes

Cons

  • No advanced section properties (J, Cw, plastic modulus)
  • Separate pages for each shape slow down comparisons
  • Not optimized for structural design inputs (metric/imperial handling can be clunky)

Verdict

Good for basic theoretical calculations but limited in scope and speed for real-world structural engineering workflows.

4. MechaniCalc Beam Section Calculator

The MechaniCalc Beam Calculator combines basic cross-section property calculations with a simple beam stress and deflection analysis. Users can define the beam’s length, material, and cross-section, then see section area, volume, weight, and moment of inertia alongside elastic modulus and FEA-based deflection results. The interface is clean and easy to navigate, and torsion constant (J) is available for certain shapes.

  SDC Verifier

Pros

  • Clean, intuitive interface with straightforward inputs
  • Includes basic FEA-based deflection results, internal force diagrams like moments, shear, and results of section utilizations
  • Partial torsion support (J) for some shapes

Cons

  • Limited to one shape at a time
  • No built-in multi-shape comparison workflow
  • Full feature set requires paid subscription

Verdict

While it provides accurate results and even allows free body diagrams and shear-moment plots, it works on a single shape at a time and isn’t designed for quick side-by-side section comparisons. Some features (custom sections, save files, full shape library) are locked behind a paid subscription.

5. SDC Verifier Free Calculator

Engineers often need to check section properties quickly and accurately. That’s where the SDC Verifier, structural verification software, stands out with Free Moment of Inertia Calculator. It’s more than just a Moment of Inertia tool, it’s a full Centroid, Moment of Inertia, and the best Section Modulus calculator designed to streamline structural and mechanical calculations for both standard and complex profiles.

Here are result of calculations for l-beam section (symetric):

  SDC Verifier

Here are results of calculations for rectangular section:

  SDC Verifier

Here are results of calculations for T-section (asymmetric):

  SDC Verifier

Pros

  • Complete Section Data
    Calculates all major properties in one go:

    • Area (A), Perimeter (P)
    • Centroid coordinates (Cy, Cz)
    • Moments of Inertia (Iy, Iz, I1, I2, I3)
    • Section Modulus (Zy, Zz, Sy, Sz, etc.)
    • Radius of Gyration (ry, rz, r1–r3)
    • Torsional and warping constants (J, Cw)
    • Shear areas (Ay, Az, A1, A2)
    • Principal axis orientation (θ)
  • Supports Complex Profiles
    Includes solid, hollow, and open profiles:
    Rectangular, Circular, I-shape, T-shape, Channel, Angle (L), and Z-shape.
  • Instant Output & Exports
    Get results immediately. Export as PDF or send via email—ideal for reports or documentation.
  • No Login. No Ads. No Limits.
    Just open, calculate, and go. Completely free, with no registration require
  • Visual Representation of the Section.

See how the section looks visually.

Cons

  • Manual Unit Input Required
  • No Beam Sections Calculation

Can not calculate beam sections.

How It Works (Quick Overview)

  1. Choose unit system – Metric or Imperial
  2. Select shape – From rectangle to Z-profile
  3. Enter dimensions – Based on shape type
  4. Get instant results – All key section properties calculated immediately
  5. Export if needed – PDF or email

Example: For an I-beam, you get results like:

  • Iy: 1.63×10⁶ mm⁴
  • Zy: 32,665 mm³
  • Sy: 37,609 mm³
  • J: 8,957 mm⁴
  • Cw: 351 million mm⁶
    … and much more, including centroid, principal axes, and radius of gyration.

Verdict

Best for engineers who need all section parameters data — fast.
If you’re evaluating cross-sections for design, verification, or reporting, this calculator delivers a complete snapshot in seconds. It’s especially useful for those searching for the best section calculator or wanting to compare structural engineering tools before choosing software.

Try the tool here: SDC Verifier Free Calculator (no login needed).

6. Omni Calculator

The Omni Moment of Inertia Calculator provides quick computations of the second moment of area for standard shapes. Users can select a rectangle, circle, triangle, ellipse, semicircle, or hexagon, enter dimensions, and instantly see Ix  and Iy . The tool also applies the parallel-axis theorem when needed and shows the underlying formulas, making it useful for quick checks and educational purposes.

Here are results of calculations for rectangular section:

  SDC Verifier

Pros

  • Supports multiple standard shapes
  • Includes parallel-axis theorem adjustment
  • Shows formulas alongside results
  • Fast and easy to use for quick checks

Cons

  • Limited to simple, predefined cross-sections
  • No product of inertia or principal axes
  • No composite/custom shape capability
  • No visualization of the dimensions in the shape

Verdict

Best for engineers or students who need quick, reliable inertia values for basic shapes.
If you’re checking centroidal moments, teaching fundamentals, or verifying simple hand calculations, this calculator delivers results instantly. For complex or custom sections, more advanced engineering calculators will still be required.

7. OptimalBeam Calculator

The Optimal Beam Section Properties Calculator computes key geometric and strength parameters of I-sections and other beam profiles. By inputting basic section dimensions, the tool provides commonly required results such as area, centroid location, moments of inertia about x and y axes, section moduli, plastic section moduli, and radii of gyration.

Here are results of calculations for l-beam section (symetric):

  SDC Verifier

Here are results of calculations for rectangular section:

  SDC Verifier

Here are results of calculations for T-section (asymmetric):

  SDC Verifier

Pros

  • Covers most common section properties (Hollow Rectangular, I-Section, Channel, Angle, Tee-Section, Circular)
  • Simple input form, only requiring geometric dimensions
  • Integrated into a broader platform with related tools (beam analysis, unit conversion)

Cons

  • Provides only 8 basic shapes
  • No possibility to see the shapes with applied dimensions
  • Extended features require registration

Verdict

Best suited for engineers who need quick access to standard section properties without running full structural analysis. While it provides the main parameters for common shapes in a simple format, the lack of shape visualization and limited library make it more of a handy reference tool than a comprehensive design resource.

8. CalcForge

The CalcForge Free Moment of Inertia Calculator allows users to calculate the second moment of area for standard cross-sectional shapes. Users can select from predefined beams and columns but cannot input custom dimensions for their own designs (apart from rectangular shape). They can only calculate the properties of the proposed default sizes.

Here are results of calculations for rectangular section:

  SDC Verifier

Pros

  • Calculates Ix and Iy for standard beams and columns
  • Simple and fast interface
  • Good for quick reference of default structural shapes

❌ Cons

  • Cannot input custom dimensions for beams and columns; only works with proposed defaults
  • Limited to standard shapes—no composite or irregular cross-sections

Verdict

Best suited for quick reference of standard beam and column properties, but not practical for engineers needing to analyze custom cross-sections. For actual design, sizing, or optimization, a more flexible moment of inertia calculator is required.

9. CalcResource

The CalcResource Moment of Inertia Calculator offers a comprehensive suite of tools for calculating the second moment of area (area moment of inertia) for a wide range of standard and custom cross-sectional shapes. Users can select from predefined shapes such as rectangles, circles, I/H sections, channels, angles, tees, zeta sections, trapezoids, and triangles, or input custom dimensions for more complex geometries.

Here are results for l-section (symmetrical) shape calculation:

  SDC Verifier

Here are results for rectangular section calculation:

  SDC Verifier

Here are results for T-section (asymmetric) calculation:

  SDC Verifier

Pros

  • Supports a wide variety of standard and custom cross-sectional shapes
  • Provides calculations for both centroidal and non-centroidal axes
  • Includes tools for principal axes and parallel axis transformations
  • Free to use with no registration required

Cons

  • Requires manual input for each geometry; no CAD file import functionality
  • No possibility to import results
  • No real-time shape visualization, just technical drawings

Verdict

Suitable for users who need to calculate the moment of inertia for a variety of standard and custom cross-sections. The tool provides basic centroidal and parallel-axis calculations, but lacks CAD integration, real-time shape visualization, and automated result management, which limits its practicality for detailed engineering workflows.

10. CivilEngineer Online

The Civil Engineer Online Moment of Inertia Calculator is designed to calculate the second moment of area (moment of inertia) and other geometric properties for standard beam and column cross-sections. It covers rectangular, hollow rectangular, hollow circular, I-section, T-section, channel, circular, angle, hexagonal, and pentagonal sections.

Here are results for l-section (symmetrical) shape calculation:

  SDC Verifier

Here are results for rectangular section calculation:

  SDC Verifier

Here are results for T-section (asymmetric) calculation:

  SDC Verifier

Pros

  • Supports a wide variety of standard cross-sections (rectangular, I, T, channel, circular, angle, hexagonal, pentagonal)
  • Calculates centroid, IxxI_{xx}Ixx , IyyI_{yy}Iyy , polar moment IzzI_{zz}Izz , section modulus (elastic and plastic), radius of gyration
  • Uses standard formulas and parallel-axis theorem for accurate calculations
  • Free to use and results can be copied for documentation
  • Includes solved examples for guidance

Cons

  • No calculation results import
  • No CAD import
  • No real-time visualization of sections

Verdict

A practical tool for quickly calculating the moment of inertia and related properties of standard cross-sections. Useful for verification, teaching, or simple design checks, but limited for advanced shapes visualization, and results import.

What Makes a Calculator Truly Useful for Engineers?

Strip away the glossy landing pages and “free tool” marketing, and a good structural calculator comes down to one thing: does it give you the numbers you actually need, in the shortest possible time, without hiding half of them? 

From our testing, the most useful tools consistently hit three marks: 

  1. They go beyond I and Z.
    A bare-bones calculator that only gives the second moment of area (I) and section modulus (Z) will get you partway through a design check — but you’ll still be reaching for other resources to find torsion constant (J), warping constant (Cw), plastic modulus, or shear area. The best calculators put all the key section properties in one place, so you can move from geometry to strength checks without opening three extra tabs. 
  2. They handle asymmetrical and open sections.
    Real projects don’t live on a diet of perfect rectangles and wide-flange beams. A useful tool can process Z-shapes, L-sections, channels, and other open or unsymmetrical geometries. That includes correctly locating the centroid and reporting principal axes — not just mirroring the numbers from a symmetric template. 
  3. They deliver results instantly — with no hidden barriers.
    In an ideal world, you paste your dimensions, hit “calculate,” and see all your results in seconds. No 15-click workflows. No half-blank output screens telling you to “sign up for full results.” And definitely no exporting to another program just to get one more property. Every extra step breaks the flow and slows the engineer down. 

In short, the best calculators work like a good reference table — complete, fast, and frustration-free — but with the flexibility to handle any shape you throw at them. 

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