Free to Use

Engineering Calculator

Comprehensive engineering calculations for structural, electrical, mechanical, and materials engineering with professional-grade formulas and detailed solutions

Structural Engineering - Beams, Stress, and Load Analysis

Simply Supported Beam Deflection
δ = (5wL⁴)/(384EI) | δ = (PL³)/(48EI)
Maximum Deflection
-
Enter beam parameters
Stress Calculator
σ = F/A | τ = F/A
Stress
-
Enter force and area
Column Buckling Load (Euler)
P_cr = (π²EI)/(KL)²
Critical Buckling Load
-
Enter column parameters
Moment of Inertia Calculator
I = ∫y²dA
Moment of Inertia
-
Select shape and enter dimensions

Electrical Engineering - Power, Circuits, and Motor Analysis

AC Power Calculator
P = VI cos(φ) | Q = VI sin(φ) | S = VI
Power Analysis
-
Enter voltage, current, and power factor
Motor Efficiency Calculator
η = P_out/P_in × 100%
Motor Efficiency
-
Enter input and output power
Cable Voltage Drop Calculator
V_drop = I × R × L × 2
Voltage Drop
-
Enter cable parameters
Transformer Calculator
V₂/V₁ = N₂/N₁ | I₂/I₁ = N₁/N₂
Transformer Analysis
-
Enter transformer parameters

Mechanical Engineering - Gears, Belts, and Power Transmission

Gear Ratio Calculator
GR = N₂/N₁ | ω₂/ω₁ = N₁/N₂
Gear Analysis
-
Enter gear parameters
Belt Drive Calculator
v = πDN/60 | T = P/ω
Belt Drive Analysis
-
Enter belt drive parameters
Shaft Diameter Calculator
d = ∛(16T/(πτ_allow))
Minimum Shaft Diameter
-
Enter torque and material properties
Bearing Life Calculator
L₁₀ = (C/P)ᵖ
Bearing Life
-
Enter bearing parameters

Materials Engineering - Properties, Strength, and Heat Transfer

Thermal Expansion Calculator
ΔL = αL₀ΔT
Thermal Expansion
-
Enter material and temperature parameters
Material Density Calculator
ρ = m/V
Material Density
-
Enter mass and volume
Heat Conduction Calculator
q = kA(T₁-T₂)/L
Heat Transfer Rate
-
Enter thermal parameters
Material Strength Calculator
σ_ultimate = F_max/A₀
Ultimate Tensile Strength
-
Enter load and cross-section area

Engineering Calculator Features

🏗️
Comprehensive Coverage
Covers all major engineering disciplines: structural, electrical, mechanical, and materials engineering
📐
Professional Formulas
Uses industry-standard engineering formulas and design codes for accurate professional calculations
⚡
Instant Analysis
Real-time calculations with detailed engineering analysis and safety factor considerations
📱
Field Ready
Mobile-optimized for use on construction sites, laboratories, and field work
🎓
Educational Focus
Perfect for engineering students and professionals learning new concepts and verifying calculations
🔒
Professional Security
All calculations performed locally - your engineering data stays confidential and secure

Engineering Disciplines Covered

🏗️
Structural Engineering
Design and analysis of structures including beams, columns, stress analysis, and stability calculations for buildings and infrastructure.
Key Formulas:
δ = (5wL⁴)/(384EI)
σ = F/A
P_cr = (π²EI)/(KL)²
I = bh³/12
⚡
Electrical Engineering
Power systems, motor analysis, transformer calculations, and electrical circuit design for industrial and commercial applications.
Key Formulas:
P = VI cos(φ)
η = P_out/P_in
V_drop = IRL
V₂/V₁ = N₂/N₁
⚙️
Mechanical Engineering
Machine design, power transmission, gear systems, belt drives, and mechanical component analysis for industrial machinery.
Key Formulas:
GR = N₂/N₁
v = πDN/60
d = ∛(16T/(πτ))
L₁₀ = (C/P)ᵖ
🔬
Materials Engineering
Material properties, thermal analysis, strength calculations, and heat transfer for material selection and design optimization.
Key Formulas:
ΔL = αL₀ΔT
ρ = m/V
q = kA(T₁-T₂)/L
σ_ult = F_max/A₀

How to Use the Engineering Calculator

Structural Engineering - Beam Deflection

Example - Simply Supported Beam:

Calculate deflection of a 5m steel beam with 1000 N/m distributed load:

• Load Type: Distributed Load

• Load: 1000 N/m

• Length: 5 m

• Young's Modulus: 2×10¹¹ Pa (steel)

• Moment of Inertia: 1×10⁻⁴ m⁴

• Result: δ = (5×1000×5⁴)/(384×2×10¹¹×10⁻⁴) = 0.0081 m

Electrical Engineering - AC Power

Example - Three-Phase Motor:

Calculate power consumption of a motor at 400V, 25A, 0.85 power factor:

• Voltage: 400 V

• Current: 25 A

• Power Factor: 0.85

• Results: P = 400×25×0.85 = 8.5 kW, Q = 6.2 kVAR, S = 10 kVA

Mechanical Engineering - Gear Ratio

Example - Gear Reduction:

Calculate gear system with 20-tooth driver and 60-tooth driven gear:

• Driver Teeth: 20

• Driven Teeth: 60

• Input Speed: 1800 RPM

• Input Torque: 100 Nm

• Results: GR = 3:1, Output Speed = 600 RPM, Output Torque = 300 Nm

Materials Engineering - Thermal Expansion

Example - Steel Bridge Expansion:

Calculate expansion of 100m steel bridge with 40°C temperature rise:

• Original Length: 100 m

• Temperature Change: 40°C

• Material: Steel (α = 12×10⁻⁶ 1/°C)

• Result: ΔL = 12×10⁻⁶×100×40 = 0.048 m = 48 mm

Essential Engineering Formulas

Structural Engineering Formulas

δ = (5wL⁴)/(384EI) (distributed load beam deflection)
δ = (PL³)/(48EI) (point load beam deflection)
σ = F/A (normal stress)
P_cr = (π²EI)/(KL)² (Euler buckling load)

Electrical Engineering Formulas

P = VI cos(φ) (active power)
Q = VI sin(φ) (reactive power)
η = P_out/P_in × 100% (efficiency)
V_drop = IRL (voltage drop)

Mechanical Engineering Formulas

GR = N₂/N₁ (gear ratio)
v = πDN/60 (belt speed)
d = ∛(16T/(πτ)) (shaft diameter)
L₁₀ = (C/P)ᵖ (bearing life)

Materials Engineering Formulas

ΔL = αL₀ΔT (thermal expansion)
ρ = m/V (density)
q = kA(T₁-T₂)/L (heat conduction)
σ_ult = F_max/A₀ (ultimate strength)

Real-World Engineering Applications

Civil Infrastructure

Design bridges, buildings, foundations, and transportation systems using structural analysis and materials calculations.

Power Systems

Analyze electrical grids, motor drives, transformers, and power distribution networks for efficient energy delivery.

Manufacturing

Design production machinery, gear systems, conveyor belts, and automated manufacturing equipment.

Aerospace Engineering

Calculate structural loads, material properties, thermal effects, and safety factors for aircraft and spacecraft.

Automotive Industry

Design engine components, transmission systems, chassis structures, and electrical systems for vehicles.

Process Industries

Analyze heat exchangers, pressure vessels, piping systems, and chemical processing equipment.

Renewable Energy

Design wind turbines, solar panel mounting systems, and energy storage solutions with proper load analysis.

Construction Projects

Calculate concrete requirements, steel reinforcement, thermal expansion joints, and structural safety factors.

Frequently Asked Questions (FAQ)

How accurate are the engineering calculations?
Our engineering calculator uses industry-standard formulas and design codes. Results are suitable for preliminary design and educational purposes, but critical engineering applications should always be verified by licensed professional engineers and comply with local building codes.
Can I use this for professional engineering work?
This calculator is excellent for preliminary calculations, concept design, and verification of hand calculations. However, final designs must be performed using professional engineering software and signed off by licensed engineers in accordance with local regulations.
What units should I use for the calculations?
Use SI (metric) units consistently: meters (m), kilograms (kg), Pascals (Pa), Newtons (N), etc. Some calculators accept common engineering units like kPa, MPa, or kN. Always verify unit consistency in your inputs and outputs.
How do I interpret safety factors in the results?
Safety factors depend on the application, loading conditions, and design codes. Typical values: structures (2-3), machinery (3-5), pressure vessels (4-8). Always consult relevant design standards for your specific application.
What material properties should I use?
Use standard material properties from engineering handbooks or material specifications. Common values are built into many calculators, but verify with actual material certificates for critical applications. Consider temperature, aging, and environmental effects.
How do I handle complex loading conditions?
For complex loads, use superposition principles to combine individual load effects. Consider dynamic loads, wind, seismic, and thermal effects separately. Complex analysis may require specialized finite element analysis software.
Are deflection limits included in the calculations?
The calculators provide deflection values, but you must check against code limits (typically L/250 to L/360 for beams). Serviceability limits depend on the application and occupancy type - consult relevant building codes.
How do I account for dynamic loads and vibrations?
These calculators handle static loads. For dynamic analysis, apply appropriate dynamic amplification factors from codes or perform detailed dynamic analysis. Consider resonance, fatigue, and impact loads separately.
Can I use this for earthquake and wind analysis?
Basic load calculations are supported, but seismic and wind analysis requires specialized knowledge of building codes (IBC, ASCE 7, Eurocode, etc.). Use these calculators for preliminary estimates only.
Is my engineering data stored or shared?
No, all calculations are performed locally in your browser. We don't store, save, or transmit any of your engineering data or results. Your project information remains completely confidential and secure.

About This Engineering Calculator

Our comprehensive engineering calculator is designed to support engineers, students, technicians, and professionals across multiple engineering disciplines. From structural beam analysis to electrical motor calculations, this tool provides reliable engineering calculations with industry-standard formulas.

Why Choose Our Engineering Calculator?

  • Professional Coverage: Four major engineering disciplines with 16+ specialized calculators
  • Industry Standards: Uses standard engineering formulas, design codes, and material properties
  • Educational Value: Perfect for engineering students learning design principles and professionals verifying calculations
  • Field Ready: Mobile-optimized for use on construction sites, laboratories, and field work
  • Practical Applications: Real-world examples from construction, manufacturing, and infrastructure projects
  • Professional Security: All calculations performed locally - your engineering data stays confidential

Whether you're designing a steel beam, sizing electrical cables, calculating gear ratios, or analyzing material properties, this calculator provides the tools you need for accurate preliminary engineering analysis. The combination of theoretical knowledge and practical application makes it an invaluable resource for the engineering community.

Professional Engineering Disclaimer: While this calculator uses industry-standard engineering formulas, all results are for preliminary design and educational purposes only. Critical engineering applications require verification by licensed professional engineers, compliance with local building codes, consideration of site-specific conditions, and use of certified professional engineering software. This tool does not replace professional engineering judgment or responsibility.