Structural Analysis
Beam & Flexural Analysis Simulators
A focused Structural Analysis hub for beam & flexural analysis tools, keeping related formulas, assumptions, and engineering checks together.
67 simulators
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Arch Structure & Thrust Line Calculator
Beam & Flexural Analysis
Calculate horizontal thrust and reactions for three-hinged arches. View real-time thrust line and force diagrams with this structural analysis tool.
Beam-Column Buckling & P-M Interaction Diagram
Beam & Flexural Analysis
EN 1993-1-1 beam-column buckling & P-M interaction simulator. Plot the design point on the P-M envelope in real time for instant PASS/FAIL verification.
Beam Deflection & Stress Analysis Tool
Beam & Flexural Analysis
Real-time beam deflection, bending moment, and shear force calculator. Supports simply supported and cantilever beams with point loads and uniform distributed loads.
Overhanging Beam Simulator — Reactions, SFD, BMD & Tip Deflection
Beam & Flexural Analysis
Compute reactions, peak bending moment and tip deflection of an overhanging beam in real time. Vary main-span length, overhang, UDL and tip load to learn SFD and BMD behavior.
Beam Shear Stress Distribution Simulator
Beam & Flexural Analysis
Evaluate maximum shear stress, section distribution, and utilization from beam shear force, web dimensions, and shape factor.
Beam Cross-Section Properties Visualizer — Second Moment of Area, Section Modulus
Beam & Flexural Analysis
Visualize beam cross-section properties instantly. Adjust dimensions with sliders to see Ix, Iy, Zx, Zy, radius of gyration, and bending stress distribution.
Bimetal Thermostat Simulator — Thermal Bending of a Two-Layer Strip
Beam & Flexural Analysis
Bimetal thermostat simulator using Timoshenko formula to model thermal bending of two-layer strips. Explore temperature response and expansion mismatch.
Bridge Truss Design Simulator — Build, Break & Learn Structural Mechanics
Beam & Flexural Analysis
Place nodes and connect them with members to design your own truss bridge.
Bridge Truss FEM Analysis Simulator
Beam & Flexural Analysis
Analyze Pratt, Warren & Howe bridge trusses with FEM. See animated members light up red for tension or blue for compression under applied loads.
Column Buckling Calculator — Euler Load, Johnson Formula & Slenderness Ratio
Beam & Flexural Analysis
Calculate critical buckling load instantly. Set end conditions, material, and geometry. Uses Euler and Johnson formulas for long & intermediate columns with safety factor.
Column Buckling Mode Shape Visualizer
Beam & Flexural Analysis
Visualize column buckling modes with animations. Calculate critical load, slenderness ratio, and effective length for various end conditions instantly.
Buckling-Restrained Brace Simulator
Beam & Flexural Analysis
Design the buckling-restrained brace (BRB), a brace that cannot buckle.
Castigliano Theorem Simulator — Deflection via Strain Energy Method
Beam & Flexural Analysis
Castigliano Theorem Simulator for cantilever beam deflection using strain energy method. Calculate tip load and distributed load effects with superposition principle.
Sandwich Panel Analysis (Equivalent Stiffness, Core Shear, Failure Modes)
Beam & Flexural Analysis
Calculate sandwich panel bending stiffness, core shear, and failure modes. Use real-time formulas for stress, deflection, and face wrinkling limits.
Advanced Column Buckling Analysis (Imperfections, P-δ Curve)
Beam & Flexural Analysis
Analyze column buckling with cross-section, end conditions, and load eccentricity. Compute Euler load, slenderness, and P-δ curve with deformation visualization.
Column Design Calculator (Steel / Concrete / Timber)
Beam & Flexural Analysis
Calculate column capacity instantly. Input load, length, material, and dimensions to get slenderness ratio, compressive strength, and utilization.
RC Column P-M Interaction Diagram Calculator — ACI 318
Beam & Flexural Analysis
Calculate ACI 318 P-M interaction diagrams for rectangular RC columns in real time. Adjust dimensions, materials, and reinforcement.
Combined Axial + Bending Stress Calculator
Beam & Flexural Analysis
Calculate combined axial and bending stress for rectangular or circular sections. Visualize stress distribution, find the neutral axis, and compute safety factors.
Composite Beam & Transformed Section Stress Calculator
Beam & Flexural Analysis
Analyze composite beams (bimetal, RC, FRP-steel) in real-time. Visualize stress, neutral axis, and calculate section properties instantly.
Sandwich Panel Structural Analysis — Bending Stiffness, Deflection & Stress
Beam & Flexural Analysis
Analyze sandwich panel bending, stress, and deflection. Input face sheet and core materials for instant structural calculations and performance results.
RC Beam Section Design Calculator (ACI 318)
Beam & Flexural Analysis
ACI 318 design calculator for concrete beams. Input dimensions & material strengths to instantly compute flexural capacity, shear strength, and reinforcement ratios.
Conjugate Beam Method Simulator
Beam & Flexural Analysis
Find the slope and deflection of a simply-supported beam with the conjugate beam method (Mohr's theorem).
Continuous Three-Span Beam Simulator — Three-Moment Equation
Beam & Flexural Analysis
Continuous three-span beam simulator: real-time interior support moment, reactions and max deflection of an equal-span uniformly loaded beam via Clapeyron's three-moment equation.
Continuous Beam Analysis Calculator
Beam & Flexural Analysis
Calculate support moments, reactions, and diagrams for multi-span beams. Free online tool using the three-moment equation for engineers and students.
Curved Beam Stress Simulator
Beam & Flexural Analysis
Curved beam stress simulator for bending moment analysis. Calculate inner and outer stress with radius, thickness, width parameters for structural engineering.
Column Effective Length Simulator — Support Conditions and Buckling Load
Beam & Flexural Analysis
Compute the column effective length factor K, effective length KL, Euler buckling load Pcr and slenderness ratio for each end support condition with live charts.
Column Buckling Load Calculator
Beam & Flexural Analysis
Choose end conditions and cross-section geometry, then compute Euler or Johnson critical load, slenderness ratio, and safety factor with live buckled-shape visualization.
Euler Buckling Load Calculator
Beam & Flexural Analysis
Calculate Euler critical buckling load in real time. Vary cross-section shape, end conditions, and column length to instantly visualize critical load and buckling mode shapes.
Plane Truss FEM Solver
Beam & Flexural Analysis
Solve 2D trusses with the Direct Stiffness Method. Choose from 5 preset configurations, assemble matrices, and solve K*u=f. Learn element stiffness with direction cosines.
Fixed-End Moment Simulator — Clamped-Clamped Beam FEM Basics
Beam & Flexural Analysis
Simulate fixed-end moments on clamped-clamped beams with point and distributed loads. Learn FEM basics, support reactions, and deflection analysis.
Plane Frame Analysis
Beam & Flexural Analysis
Analyze portal frames with the direct stiffness method. See real-time deformed shapes, bending moment diagrams, and member forces including lateral sway effects.
Freight Elevator Cab Bracket Stress Simulator
Beam & Flexural Analysis
Freight Elevator Cab Bracket Stress Simulator: Instantly compute bending stress, deflection and safety factor for the brackets that carry the cab frame of a …
Lateral-Torsional Buckling Simulator
Beam & Flexural Analysis
Analyse how a steel I-beam bent about its strong axis can swing sideways and twist — lateral-torsional buckling — before reaching its full bending strength.
Maxwell-Betti Reciprocal Theorem Simulator
Beam & Flexural Analysis
Maxwell-Betti reciprocal theorem simulator for FEM stiffness matrix symmetry verification in beam analysis and influence functions.
Membrane Structure Prestress Analysis
Beam & Flexural Analysis
Analyze membrane structure prestress. Input span, pretension, camber, and loads to compute stress, deflection, safety factor, and stability for PTFE/ETFE designs.
Structural Mode Shape Visualizer — Beam & Plate Vibration Modes
Beam & Flexural Analysis
Visualize and animate vibration mode shapes for beams and plates in real time. Calculate natural frequencies instantly for structural analysis.
P-Delta Effect Simulator — Second-Order Effects from Axial Loads
Beam & Flexural Analysis
P-Delta effect simulator: real-time computation of Euler buckling load P_cr, axial ratio r, amplification factor psi=1/(1-r), and second-order moment M2 for a pin-pin column.
Plate Buckling & Critical Stress Calculator
Beam & Flexural Analysis
Calculate critical buckling stress for plates with real-time visualization. Set geometry, material, boundary conditions, and load type.
Plate Girder Web Shear Buckling Simulator
Beam & Flexural Analysis
Plate Girder Web Shear Buckling Simulator: The tall, thin web of a plate girder can buckle under shear long before the steel yields. Adjust the web depth, th…
Portal Frame Analysis Simulator
Beam & Flexural Analysis
Solve a single-bay, single-storey rigid frame (portal frame) under a lateral load with the approximate portal method.
Propped Cantilever Beam Simulator — One-Degree Indeterminate Beam
Beam & Flexural Analysis
Propped cantilever beam simulator for statically indeterminate analysis: visualize reactions, bending moment, shear force, and deflection under combined loads.
Punching Shear Simulator
Beam & Flexural Analysis
A tool for checking the punching shear that develops at the connection of a flat slab supported directly on columns.
Railroad CWR Track Buckling (Sun Kink) Simulator
Beam & Flexural Analysis
Real-time evaluation of "sun kink" — the lateral buckling that can hit continuously welded rail (CWR) on hot summer days.
Circular Ring & Arch Structure Calculator
Beam & Flexural Analysis
Calculate bending moments, stresses, and deflections for circular rings and arches under diametral loads or internal pressure. Real-time structural analysis tool.
Sandwich Panel Bending Calculator
Beam & Flexural Analysis
Calculate sandwich panel bending, stress, deflection & buckling in real-time. Ideal for engineers designing with composite or structural panels.
Sandwich Panel Bending Stiffness Calculator
Beam & Flexural Analysis
Calculate sandwich panel bending stiffness instantly. Select face sheet & core materials, adjust thicknesses, and get flexural rigidity (D) and deflection.
Shear & Moment Diagram Simulator — Simply Supported Beam Under Combined Loads
Beam & Flexural Analysis
Simulate shear and moment diagrams for simply supported beams with combined loads. Real-time plotting, reaction calculations, and maximum moment detection.
Shear Center Calculator — Thin-Walled Section Shear Flow Visualizer
Beam & Flexural Analysis
Calculate shear center for Channel, Z, T, Angle, and I-beam sections. Visualize shear flow distribution and key section properties in real time.
Slope-Deflection Method Simulator
Beam & Flexural Analysis
Slope-Deflection Method Simulator: Solve a two-span indeterminate continuous beam by the slope-deflection (displacement) method. Adjust the span lengths, fle…
Cantilever Snap-Fit Design Simulator
Beam & Flexural Analysis
Design the snap-fit hooks that make plastic parts click together.
Snow Loaded Tree Branch Bending Simulator
Beam & Flexural Analysis
Snow Loaded Tree Branch Bending Simulator: Evaluate how a tree branch sags and when it snaps under snow-crown and ice-glaze loading, using a cantilever-beam …
Static Truss Analyzer — 2D Method of Joints & Member Forces
Beam & Flexural Analysis
Statics Truss Analyzer (Method of Joints): Set Warren or Pratt truss panel count, height, and load to automatically calculate all member forces using the met…
Structural Fire Design Simulator (Eurocode EN 1992-1-2)
Beam & Flexural Analysis
Simulate concrete beam fire resistance per Eurocode EN 1992-1-2. Calculate 500°C isotherm penetration, effective width, and residual load capacity under ISO 834 fire.
Strut-and-Tie Model — Rigid-Plastic Analysis of D-Regions
Beam & Flexural Analysis
The strut-and-tie model simulator represents the force flow in corbel D-regions with a simple truss of struts and ties and computes member forces from nodal equilibrium.
Beam Deflection by Superposition Calculator
Beam & Flexural Analysis
Calculate beam deflection with up to 3 loads using superposition. Get deflection curves for simply-supported beams with forces, moments, or distributed loads.
T-Beam Section Simulator — Properties & Bending Stress
Beam & Flexural Analysis
T-beam section simulator: computes centroid, moment of inertia, section modulus, plastic section modulus and shape factor of a T-shape, with bending stress visualization.
Tension Field Action Simulator
Beam & Flexural Analysis
Tension Field Action Simulator: The slender web of a plate girder buckles in shear at a low stress — but that is not failure. The buckled web keeps carrying …
Thermal Stress & Bimetal Warpage Calculator
Beam & Flexural Analysis
Calculate thermal expansion, bimetal bending & interface stress with this interactive Timoshenko theory calculator for electronics & solder joints.
Thin-Walled Open Section Properties Calculator — C/Z/L/I Beam
Beam & Flexural Analysis
Calculate thin-walled open section properties for C-channel, Z, L-angle, and I-beam profiles, including shear center and warping constant.
Three-Hinged Arch Simulator
Beam & Flexural Analysis
Three-Hinged Arch Simulator: Apply a uniformly distributed load and an optional crown point load to a parabolic three-hinged arch and study the vertical reac…
Timber Beam Design Simulator
Beam & Flexural Analysis
Timber Beam Design Simulator: Design a simply-supported timber beam under a uniformly distributed load. Adjust the width, depth, span, load and species to se…
Timoshenko Beam Simulator — Tip Deflection with Shear Deformation
Beam & Flexural Analysis
Timoshenko beam simulator for cantilever tip deflection analysis. Compare shear deformation effects versus classical theory for short, thick beams.
2D Truss Analyzer (Direct Stiffness Method / FEM)
Beam & Flexural Analysis
Analyze planar trusses with the Direct Stiffness Method. This FEM solver calculates axial forces, color-coding tension (red) and compression (blue) for clear visualization.
Unit Load Method Simulator — Cantilever Beam Deflection and Rotation
Beam & Flexural Analysis
Unit Load Method Simulator for cantilever beam deflection and rotation analysis using Mohr integral and virtual work calculations.
Unsymmetric Bending Simulator
Beam & Flexural Analysis
Apply a bending moment to a rectangular beam section at an angle offset from its principal axes.
Virtual Work — Unit Load Method for Truss Deflection
Beam & Flexural Analysis
The virtual work simulator computes truss apex deflection by the unit load method delta=sum N n L/(EA), showing member real and virtual forces and each member's contribution.
Wood Truss Stress-Graded Design Simulator
Beam & Flexural Analysis
Wood Truss Stress-Graded Design Simulator: A real-time design tool for stress-graded wood roof trusses. Following JIS Z 2101 E-F grading and the Japanese Bui…
How to Use
- Select beam type (cantilever, simply supported, or continuous) from the category filter
- Input material properties: Young's modulus (e.g., 200 GPa for steel, 69 GPa for aluminum), cross-section dimensions (width, height in mm), and second moment of inertia I or let the simulator calculate it
- Apply distributed or point loads at specified positions along the span, then run the solver to generate bending moment diagram, shear force envelope, and maximum deflection
Worked Example
Steel I-beam (IPE 300, E = 200 GPa, I = 8356 cm⁴) spanning 6 m with fixed supports. Applied load: 15 kN at midspan. Calculated results: maximum bending moment M = 22.5 kN·m at center, maximum shear force V = 7.5 kN at supports, deflection δ = 3.2 mm. Stress check: σ_max = 53.6 MPa (well below 250 MPa yield for S275 steel).
Practical Notes
- Account for self-weight: add distributed load of (ρ × g × A) per unit length—omitting this in long-span timber or aluminum beams causes underestimation of midspan deflection by 5–12%
- Use the filter to group cantilever problems separately; fixed-end moment calculations differ significantly from pinned-support cases
- Verify shear reinforcement near supports where V is maximum; deflection limits (L/250 to L/360) depend on end-use and building code jurisdiction