Engineering Analysis,
Made Clear.
Beam analysis, Mohr's circle, truss analysis, and thermodynamics — with textbook-style step-by-step solutions, interactive diagrams, and verified mathematical rigor built for students and engineers.
∑F_y = 0 ⟹ R_A + R_B − P = 0
∑M_A = 0 ⟹ R_B(10) − (50)(5) = 0
⟹ R_B = 25.00 kN, R_A = 25.00 kN
M_max = PL/4 = 125.0 kN·m @ x = 5 m
Meet Beam Master
Full shear-force, bending-moment, slope and deflection analysis for determinate and statically indeterminate beams — with textbook-style step-by-step solutions verified against Hibbeler and Kassimali problem sets.
Exact SFD & BMD Curves
Shear jump discontinuities, point moments, and continuous bending moment diagrams — sampled adaptively with exact critical points.
Five Analysis Methods
Macaulay, Cut-Section, Slope-Deflection, Moment Distribution (Hardy Cross), and Stiffness Matrix — auto-selected by determinacy.
Deflection & Slope Profiles
Double integration and Macaulay singularity solving with elastic modulus E and moment of inertia I in any unit system.
Step-by-Step LaTeX Derivations
Method-specific mathematical walkthroughs (up to 15 steps) showing equilibrium equations, boundary values, and boxed results.
High-Resolution PDF Reports
A4 calculation packets with vector diagrams, problem summary, and full solution walkthrough — ready for submission or review.
Project Library
Save named projects with browser storage on web, full project management on desktop, and one-click reload.
M(x) = R_A⟨x⟩¹ - P⟨x - a⟩¹ - ½w⟨x - c⟩² + M₀⟨x - d⟩⁰
EI · v(x) = ⅙R_A⟨x⟩³ - ⅙P⟨x - a⟩³ - ¹⁄₂₄w⟨x - c⟩⁴ + C₁x + C₂
12 m span · fixed A + roller B · ΣF_y = 50 ✓ · ΣM_A = 0 ✓ (equilibrium-validated)
Four Live Solvers. Verified Accuracy.
Structural mechanics, stress transformation, planar trusses, and thermodynamics — each tool is a dedicated engine with benchmark-verified results and textbook-style step-by-step solutions.
Beam Master
Structural Beam Analysis & Step-by-Step Solver
Professional beam analysis for shear force, bending moment, slope and deflection — with textbook-style step-by-step solutions for determinate and indeterminate beams.
Mohr Master
Stress Transformation & Mohr’s Circle Calculator
Interactive Mohr’s circle for plane stress, plane strain, 3D stress tensors, strain rosettes, Hooke’s law and failure theories — with step-by-step solutions.
Truss Master
2D Planar Truss Analysis & Step-by-Step Solver
Draw a truss on a grid, apply loads and supports, and get member forces, reactions and displacements — with worked Method of Joints and Method of Sections solutions.
ThermoCore
Tiered Thermodynamics & Power-Cycle Engine
Reference-grade thermodynamics solver: state properties, device balances, Rankine/Brayton/refrigeration cycles — with 88/88 verified benchmark problems.
Frame Master
Multi-bay, multi-story 2D rigid frame analysis with sway calculation and step-by-step derivations.
In developmentSection Properties (ZED 2)
Cross-section calculator using Green’s theorem contour integrals with Kahan compensated summation.
Engine verifiedAI Engineering Solver
Textbook diagram OCR and instant step-by-step LaTeX solution derivations across the whole suite.
PlannedCover the Whole Problem, Not Just One Step
The same engineering workflow you use in class and practice — member actions, stress states, structural systems, and energy cycles — each handled by a dedicated, benchmark-verified solver.
Beam Master
Resolve support reactions and internal actions for determinate or indeterminate beams.
Mohr Master
Transform the stress state at any point and check failure theories against material yield.
Truss Master
Model pin-jointed trusses and verify every member in tension or compression.
ThermoCore
Run Rankine, Brayton, Otto, Diesel and refrigeration cycles on reference-grade properties.
From Problem to Engineering Solution
A clear four-step process built to deepen conceptual understanding and ensure calculation accuracy across every solver in the suite.
Define
Set span length, support types (pin, roller, fixed, hinge), material modulus (E), cross-section inertia (I), and loads — point, UDL, moment, or angled.
Analyze
The deterministic engine selects the right method (Macaulay, stiffness matrix, Mohr, or cycle solver) and computes equilibrium reactions and governing equations instantly.
Visualize
Inspect interactive, high-precision diagrams — SFD, BMD, and deflection curves for beams; Mohr’s circle and stress elements; truss member forces; T-s cycle plots.
Understand
Review complete step-by-step mathematical derivations with LaTeX equations, boundary conditions, verification checks, and printable PDF reports.
Why Engineers Trust AskOnlineTutor
Built by engineers for students, educators, and practicing professionals who demand mathematical accuracy and transparent derivations.
Deterministic Mathematical Rigor
Never black-box answers. Beam Master passes 415/415 verified regression tests, and ThermoCore benchmarks 88/88 textbook problems — every result is mathematically grounded and equilibrium-checked.
Transparent Step-by-Step Proofs
See every equilibrium resolution, singularity integral, stress rotation, and cycle energy balance as LaTeX formulas with actual numerical substitutions and physical interpretations.
Ecosystem of Specialized Solvers
Four live tools: continuous beams (Beam Master), stress transformation & Mohr’s circle (Mohr Master), planar trusses (Truss Master), and thermodynamics & cycles (ThermoCore) — with Frame Master and Section Properties on the roadmap.
Verified Against Benchmark Datasets
Calibrated against standard engineering textbooks (Hibbeler, Kassimali, Beer & Johnston, Philpot, Çengel & Boles, Moran & Shapiro) and independently audited with automated regression suites.
Designed for Every Stage of Engineering
Understand the calculation, not just the answer.
Master statics, mechanics of materials, and thermodynamics with transparent mathematical derivations and interactive diagrams across all four solvers.
Free Calculators & Engineering Guides
Strengthen your theoretical foundations with verified structural formulas and interactive calculation tools — now covering beams, Mohr's circle, trusses, and thermodynamics.
Interactive Calculators
Beam Calculator
General beam solver for point loads, UDL, and overhangs.
Cantilever Beam Calculator
Fixed-end cantilever analysis for point loads and uniform distributed loads.
Simply Supported Beam Calculator
Pinned-roller span with midspan deflection and peak bending moments.
Bending Moment Diagram (BMD)
Inflection points, zero-shear crossings, and peak bending moments.
Shear Force Diagram (SFD)
Shear jump discontinuities, distributed load slopes, and reaction shears.
Beam Deflection Calculator
Elastic curve deflection v(x) via double integration & Macaulay method.
Technical Articles & Guides
How to Draw Shear Force Diagrams
Equilibrium equations, sign conventions, and shear force jumps.
How to Draw Bending Moment Diagrams
Constructing BMD from SFD curves and locating maximum moments.
Macaulay’s Method for Beam Deflection
Singularity functions, double integration, and evaluating constants.
Moment of Inertia & Parallel Axis Theorem
Second moment of area, centroid determination, and flexural rigidity.
Mohr's Circle Explained
Center, radius, principal stresses, and max shear from σx, σy, τxy.
Method of Joints for Truss Analysis
Joint-by-joint equilibrium, zero-force members, and determinacy.
Rankine Cycle & Thermal Efficiency
Turbine work, pump work, heat addition, and η_th for steam power plants.
Start Building Better Engineering Solutions Today.
Four live solvers — beam analysis, Mohr's circle, truss analysis, and thermodynamics — built for clarity, confidence, and mathematical rigor. Pick a tool and start solving in your browser.