Structural Analysis Simulators

Beam Deflection & Stress Analysis

Beam Deflection

Select support conditions and loading to instantly draw the deflection curve, bending moment diagram, and shear force diagram.

Euler-BernoulliStatic Analysis

Euler Buckling Load

Euler Buckling

Calculate the critical load Pcr and buckling mode shape from cross-section geometry and end conditions (4 types).

BucklingStability

Mohr's Stress Circle

Mohr's Circle

Enter sigma_x, sigma_y, tau_xy and interactively visualize principal stresses and maximum shear stress.

Stress TransformationMechanics of Materials

Goodman Diagram

Plot the operating point of mean stress vs. stress amplitude. Calculate safety factor and fatigue life in real time.

FatigueGoodmanS-N

Hertz Contact Stress

Hertz Contact

Calculate pressure distribution, contact width, and depth of maximum shear stress for sphere/cylinder contact. Visualize the contact patch.

Contact MechanicsHertz

Stress Concentration Factor Kt

Stress Concentration

Calculate Kt for holes, notches, and stepped shafts from geometry parameters. Includes cross-section diagram.

KtNotchDesign

Thermal Stress & Bimetal Deflection

Thermal Stress

Calculate constrained thermal stress and bimetal curvature via the Timoshenko formula. Includes deflection animation.

CTEThermal StressBimetal

Elastic Wave Propagation (P-wave & S-wave)

Elastic Wave Propagation

Real-time visualization of P-wave and S-wave velocities and waveforms in solids. Fundamentals of ultrasonic testing and seismic wave analysis.

Elastic WaveP-waveS-waveUltrasonic

Pressure Vessel Stress (Lame Equations)

Pressure Vessel Stress (Lame)

Calculate stress distribution in pressure vessels using the Lame equations. Auto-classify thin/thick-wall, ASME minimum thickness, and visualize von Mises distribution.

Pressure VesselLameASMEThick WallThin Wall

Laminate Analysis (CLT & ABD Matrix)

CLT Laminate Analysis

Calculate ABD matrix, equivalent elastic moduli, and ply-level failure index using Classical Lamination Theory (CLT). Includes polar plot of stiffness vs. fiber angle.

CLTLaminateCFRPABD MatrixComposites

Sandwich Panel Analysis

Real-time calculation of face sheet stress, core shear, and wrinkling buckling limit. Visualize the contribution of bending and shear deformation.

SandwichHoneycombWrinkling BucklingCore ShearComposites

SIMP Topology Optimization Simulator

SIMP Topology Optimization

Real-time topology optimization using 2D FEM (Q4 elements). Visualize the SIMP convergence process for cantilever, bridge, and L-bracket boundary conditions with canvas animation.

Topology OptimizationSIMPTopologyFEMLightweightStructural Optimization

Projectile Motion Simulator

Draw projectile trajectories in real time by adjusting initial velocity, launch angle, altitude, and gravitational acceleration. Experience the difference in range with and without air resistance. Moon, Mars, and Jupiter gravity presets included.

Projectile MotionKinematicsGravityAir ResistanceInitial VelocityPhysics

1D Collision Simulator

Animate elastic and inelastic collisions of two objects. Calculate momentum and energy balance in real time for coefficient of restitution e = 0 to 1.

CollisionConservation of MomentumCoefficient of RestitutionElastic CollisionEnergyPhysics

Composite Beam Cross-Section Stress Analysis

Composite Beam

Calculate stress distribution in composite beams of different materials using the transformed section method. Real-time visualization of neutral axis and bending stiffness.

Composite BeamTransformed SectionNeutral AxisMulti-material

Plate Buckling Critical Stress Calculator

Plate Buckling

Calculate buckling critical stress for simply supported plates. Plot buckling coefficient kp vs. aspect ratio and boundary conditions.

BucklingPlateCritical StressStability

2D Truss Analysis (Direct Stiffness Method)

2D Truss Analysis

Calculate nodal displacements and member stresses in a 2D truss using the direct stiffness method. Color-coded tension/compression members.

TrussStiffness MethodFEMNodal Displacement

Catenary Curve & Cable Tension Calculator

Catenary Cable

Calculate catenary shape, tension distribution, and maximum sag for cables under self-weight. Useful for suspension bridge and overhead line design.

CatenaryCableTensionSag

Moment of Inertia & Section Properties Calculator

Moment of Inertia

Calculate second moment of area and centroid for rectangular, circular, I-section, and T-section profiles in real time. Verify parallel axis theorem.

Moment of InertiaSecond Moment of AreaSection ModulusParallel Axis

Combined Axial & Bending Stress Calculator

Combined Column Stress

Calculate cross-section stress distribution for columns under combined axial load and bending moment. Visualize kern point and tension/compression boundary.

Combined StressAxial LoadBendingKern

Structural Reliability & Failure Probability Analysis

Structural Reliability

Calculate reliability index beta and failure probability Pf using Monte Carlo simulation and FORM approximation. Visualize strength-load distributions.

ReliabilityFailure ProbabilityFORMMonte Carlo

Wind Load Calculator (Building Code / ASCE)

Wind Load

Calculate design wind pressure from building shape, region, and height. Compliant with building code and ASCE 7 wind load provisions.

Wind LoadBuilding CodeASCEDesign Wind Pressure

Static Equilibrium — Force & Moment Balance Calculator

Static Equilibrium

Calculate equilibrium conditions for multiple forces acting on a 2D body. Real-time verification of force and moment balance and unknown reactions.

StaticsEquilibriumReactionsMoments

Rotational Dynamics Simulator

Rotational Dynamics

Calculate the relationship between torque, moment of inertia, and angular acceleration. Simulate startup and braking of flywheels and rotating machinery.

Rotational DynamicsTorqueMoment of InertiaAngular Acceleration

Gyroscope & Precession Calculator

Gyroscope

Calculate angular momentum and precession rate of a spinning body. Interactive vector diagram of the gyroscopic effect.

GyroscopePrecessionAngular MomentumSpinning Body

Stress-Strain Curve & Material Nonlinear Models

Stress-Strain Curve

Generate stress-strain curves using bilinear, Ramberg-Osgood, and other material models. Visualize yield point, UTS, and fracture elongation.

Stress-StrainMaterial ModelYieldingNonlinear

Yield Criteria Comparison — Von Mises & Tresca

Yield Criteria

Compare Von Mises, Tresca, and Mohr-Coulomb yield criteria in principal stress space. Real-time visualization of safety factor margins.

Yield CriteriaVon MisesTrescaPrincipal Stress

Fracture Toughness & Critical Crack Length Calculator

Fracture Toughness

Calculate critical crack length from fracture toughness KIC. Visualize the limit state with geometry factor F and KI vs. crack length curve.

Fracture ToughnessKICCritical CrackLEFM

Arch Structure Analysis

Calculate sectional forces and deformations of arch shapes under various loads in real time. Visualize structural behavior by varying hinge count, rise, and span.

ArchStructural AnalysisSection Force

Bearing Capacity (Terzaghi)

Calculate ultimate bearing capacity of shallow foundations using Terzaghi's formula. Visualize effects of soil parameters, foundation shape, and embedment depth.

Bearing CapacityTerzaghiFoundation DesignSoil

Bolt Preload & Axial Force

Calculate bolt tightening torque, axial force, and elongation of clamped members. Supports bolted joint design per VDI 2230.

BoltAxial ForceJointVDI 2230

Concrete Mix Strength

Calculate design compressive strength and mix proportioning strength from water-cement ratio and mix. Supports JIS- and ACI-compliant concrete mix design.

ConcreteMix StrengthWater-Cement RatioJIS

Contact Mechanics (Hertz)

Calculate contact pressure, contact area, and maximum shear stress for sphere, cylinder, and ellipsoid contacts using Hertz theory. Material comparison included.

Contact MechanicsHertzContact PressureContact Area

Frame Structure Analysis

Calculate displacements and section forces of plane frames using the direct stiffness method. Supports nodal and distributed load conditions in real time.

FrameStiffness MethodSection ForceNode Displacement

Noise Attenuation & Sound Insulation

Calculate noise reduction from distance attenuation, diffraction, and sound barriers. Visualize propagation of point and line sources on a dB scale.

NoiseAttenuationSound InsulationdB

Octave Band Noise Analysis

Calculate overall sound pressure level synthesis of octave-band and 1/3-octave-band spectra and evaluate noise with NC/NR curves.

Octave BandNoiseNC CurveSpectrum

Reinforced Concrete Section Design

Calculate bending capacity and shear capacity of RC sections. Evaluate cross-sectional performance from reinforcement area, concrete strength, and rebar strength.

RC SectionReinforced ConcreteBending CapacityReinforcement

Residual Stress Analysis

Calculate residual stress distribution from welding, heat treatment, and machining. Supports evaluation of effects on fatigue life and fracture toughness.

Residual StressWeldingHeat TreatmentFatigue Life

Rolling Contact Stress (Hertz)

Calculate contact pressure distribution and maximum shear stress depth for rolling elements using Hertz theory. Supports contact fatigue evaluation for bearings and gears.

Rolling ContactHertz PressureContact FatigueBearing

Suspension Bridge Cable Shape

Calculate main cable catenary shape, tension distribution, and hanger forces. Supports cable design for span, rise ratio, and loading conditions.

Suspension BridgeCableCatenaryHanger

Tensile Test Analysis (Stress-Strain)

Analyze engineering and true stress-strain from tensile test data: elastic modulus, yield strength, tensile strength, and elongation. Ramberg-Osgood fitting included.

Tensile TestStress-StrainYield StrengthElongation

Adhesive Joint Stress Analysis

Calculate adhesive shear stress in single-lap joints using Volkersen and Hart-Smith models. Visualize peeling stress and joint efficiency.

AdhesiveVolkersenHart-SmithShear StressJoint

Bolted Flange Design Simulator

Bolted Flange Design

Design bolted flange joints per ASME PCC-1/VIII. Calculate bolt load, gasket seating load, and leak check.

FlangeBoltASMEGasketPiping

Cable Sag & Catenary Simulator

Cable Sag (Catenary)

Compute catenary curves, self-weight sag, support tension, and additional sag from ice/wind loads in real time.

CatenarySagOverhead LineTensionSuspension Bridge

Composite Laminate CLT Simulator

Composite Plate CLT Analysis

Compute ABD matrices, in-plane strains, curvatures, and ply stresses via Classical Lamination Theory. Evaluate Tsai-Wu and Tsai-Hill failure criteria.

CLTLaminateCFRPTsai-WuComposites

Continuous Beam Analysis Calculator

Continuous Beam Analysis

Calculate support reactions, bending moment diagrams, and deflection of multi-span continuous beams using the three-moment equation. Equal and unequal spans supported.

Continuous BeamBending MomentDeflectionCivilStructural

Earthquake Settlement (Liquefaction)

Compute post-liquefaction settlement, volumetric strain, and cyclic shear strain using the Tokimatsu-Seed method. For geotechnical earthquake engineering.

LiquefactionSettlementEarthquakeGeotechnicalTokimatsu-Seed

Pile Foundation Capacity Calculator

Pile Capacity (Foundation)

Calculate pile bearing capacity using α-method, β-method, and SPT-N method. Includes shaft friction, end bearing, and group pile efficiency.

Pile FoundationBearing CapacitySPTGroup PileGeotechnical

Pipe Thermal Expansion Stress Simulator

Pipe Thermal Stress

Calculate pipe thermal expansion forces and stresses in real time. Implements flexibility factors, SIF (Stress Intensification Factors), per Caesar-II methodology.

PipingThermal ExpansionSIFStressCaesar-II

Retaining Wall Design Calculator

Retaining Wall Design

Design retaining walls using Rankine and Coulomb earth pressure theories. Check overturning, sliding, and bearing capacity stability in real time. Seismic loading supported.

Retaining WallEarth PressureRankineCoulombMononobe-Okabe

Ring & Arch Structure Analysis Calculator

Ring & Arch Structure Analysis

Calculate bending moment, axial force, hoop stress, and deflection of circular rings and arches in real time. Concentrated, distributed, and internal pressure loads supported.

RingArchHoop StressBendingPiping

Sandwich Panel Bending Calculator

Sandwich Panel Bending

Calculate face sheet stress, core shear stress, deflection, buckling load, wrinkling, and bending stiffness of sandwich panels in real time.

SandwichPanelBucklingCore ShearAerospace

Slope Stability Analysis (Bishop Method)

Slope Stability (Bishop Method)

Perform slope stability analysis using the simplified Bishop method. Set slope angle, cohesion, friction angle, and groundwater level to calculate and visualize factor of safety.

Slope StabilityBishop MethodFactor of SafetyGeotechnicalSlip Surface

Soil Consolidation (Terzaghi) Simulator

Soil Consolidation (Terzaghi)

Calculate settlement using Terzaghi 1D consolidation theory. Set compression index Cc, void ratio, and consolidation coefficient to plot degree of consolidation vs. time.

ConsolidationTerzaghiSettlementPore PressureGeotechnical

Soil Liquefaction Assessment Simulator

Soil Liquefaction Assessment

Calculate SPT N-value, CSR/CRR ratio, and factor of safety using the Seed-Idriss method. Visualize liquefaction potential and depth profiles in real time.

LiquefactionSPTCSRCRRSeed-Idriss

Coil Spring Design Calculator

Coil Spring Design

Calculate spring rate, maximum stress, fatigue safety factor, natural frequency, and buckling check in real time. Wahl correction factor and Goodman diagram supported.

Coil SpringSpring RateWahlBucklingFatigue

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