Mechanical Engineering

Calculators for fundamental and advanced mechanical engineering principles.

Force (F = m * a)

Mass (m)

Acceleration (a)

m/s²

Force Result

0 N

Moment (M = F * d)

Force (F)

Distance (d)

Moment Result

0 Nm

Reaction Force (Point Load)

Weight (P)

Length of Beam (L)

Distance from A (a)

Reaction A (R_A)

0 N

Reaction B (R_B)

0 N

Reaction Force (Distributed Load)

Weight (w)

N/m

Length of Beam (L)

Reaction A (R_A)

0 N

Reaction B (R_B)

0 N

Equilibrium Force

Calculates the tension forces in two ropes supporting a weight in equilibrium.

Weight (W)

Angle 1 (θ₁)

Angle 2 (θ₂)

Tension 1 (T₁)

0 N

Tension 2 (T₂)

0 N

Shear Force & Bending Moment Diagram

Centred Load (P)

Length of Beam (L)

Load Distance from A (a)

Max Shear Force (V_max)

0 N

Max Bending Moment (M_max)

0 Nm

Crank-Slider Kinematics

Calculates the velocity and acceleration of the slider in a crank-slider mechanism.

Crank Radius (r)

Rod Length (l)

Crank Speed

RPM

Crank Angle (θ)

Slider Velocity

0 m/s

Slider Acceleration

0 m/s²

Rotational Dynamics (Solid Cylinder)

Mass (m)

Radius (R)

Initial Velocity

RPM

Final Velocity

RPM

Time (t)

Moment of Inertia (I)

0 kg·m²

Angular Acceleration (α)

0 rad/s²

Required Torque (τ)

0 Nm

Axial Stress and Strain

Calculates the stress, strain, and elongation of a material under axial load.

Material

Young's Modulus (E)

GPa

Tensile Force (F)

Initial Length (L₀)

Diameter (d)

Area (A)

0 mm²

Stress (σ)

0 MPa

Strain (ε)

Elongation (Δ)

0 mm

Young's Modulus (Modulus of Elasticity)

Determines a material's stiffness from experimental tensile test data.

Tensile Force (F)

Initial Diameter (d₀)

Initial Length (L₀)

Elongation (Δ_L)

Stress (σ)

0 MPa

Strain (ε)

Young's Modulus (E)

0 GPa

Torsional Shear Stress on Shaft

Calculates the maximum shear stress on a solid or hollow shaft under a torsional load.

Torque (T)

Shaft Type

Outside Diameter (d)

Outer Ø (dₒ)

Inner Ø (dᵢ)

Polar Moment (J)

0 mm⁴

Max Shear Stress (τ)

0 MPa

Beam Deflection

Calculates the maximum deflection for common beam loading cases.

Select Loading Case:

Length (L)

Modulus (E)

GPa

Inertia (I)

mm⁴

Point Load (P)

Distributed Load (w)

N/m

Maximum Deflection (Δ_max)

0 mm

Factor of Safety (FoS)

Calculates the design safety margin by comparing material strength to the actual working stress.

Material Strength (S)

MPa

Use Yield Strength for ductile materials, or Ultimate Strength for brittle materials.

Working Stress (σ_work)

MPa

Actual stress experienced by the component.

Factor of Safety

Shaft Design (ASME Standard)

Calculates the minimum required shaft diameter based on power, speed, and material properties.

Operating Loads

Power (P)

Speed (N)

RPM

Bending Moment (M)

Material & Design Factors

Yield Strength (S_y)

MPa

FoS

Bending Factor (K_b)

Torsional Factor (K_t)

Calculated Torque (T)

0 Nm

Min. Shaft Diameter (d)

0 mm

Spur Gear Design

Calculates the geometric parameters for a pair of spur gears.

Module (m)

Pinion Teeth (Nₚ)

Gear Teeth (Nₐ)

Pressure Angle

General Parameters

Gear Ratio

Center Distance

0 mm

Addendum

0 mm

Dedendum

0 mm

Pinion Geometry

Pitch Ø: 0 mm
Outer Ø: 0 mm
Root Ø: 0 mm

Gear Geometry

Pitch Ø: 0 mm
Outer Ø: 0 mm
Root Ø: 0 mm

Belt & Chain Geometry

Calculates the required length and wrap angles for a two-pulley system.

Large Pulley Ø (D)

Small Pulley Ø (d)

Center Distance (C)

Length (L)

0 mm

Small Wrap (θ_s)

0°

Large Wrap (θ_L)

0°

Joint Design

Calculates the strength and safety factor for welded and bolted joints.

Force (P)

Weld Length (l)

Leg Size (h)

Weld Strength

MPa

Throat Area (Aₜ)

0 mm²

Actual Stress (τ)

0 MPa

FoS

Shear Force (P)

Bolt Ø (d)

# of Bolts (n)

Bolt Strength

MPa

Shear Planes

Shear Area (A)

0 mm²

Actual Stress (τ)

0 MPa

FoS

L10 Bearing Life

Calculates the rated life of a bearing based on load, speed, and type.

Bearing Type

Load Rating (C)

Equiv. Load (P)

Speed (N)

RPM

Life (L₁₀)

0 M-Revs

Life in Hours (L₁₀ₕ)

0 hours

Combined Load Stress Analysis

Analyzes stress states on a shaft under combined axial, bending, and torsional loads.

Shaft Ø (d)

Axial Load (F)

Bending Moment (M)

Torsion (T)

Stress Conditions at Critical Points

Normal (σ_x)

0 MPa

Shear (τ_xy)

0 MPa

Principal 1 (σ₁)

0 MPa

Principal 2 (σ₂)

0 MPa

Max Shear (τ_max)

0 MPa

Von Mises (σ_v)

0 MPa

Fatigue Life Estimation (S-N Method)

Estimates the fatigue life of a component using the S-N (stress-life) approach.

Ultimate Strength (S_ut)

MPa

Alternating Stress (σₐ)

MPa

Marin Modification Factors

Surface (kₐ)

Size (kₑ)

Loading (kₗ)

Reliability (kᵣ)

Corrected Endurance Limit (Sₑ)

0 MPa

Estimated Fatigue Life (N)

0 Cycles

Thermal Cycle Efficiency

Analyzes ideal thermodynamic cycles for engines and turbines.

Pressure (P₁)

kPa

Temp (T₁)

°C

Comp. Ratio (r)

Heat Ratio (k)

Heat Input (q_in)

kJ/kg

Efficiency (η)

0 %

Net Work (w)

0 kJ/kg

State	Pressure	Temp
1	0 kPa	0 °C
2	0 kPa	0 °C
3	0 kPa	0 °C
4	0 kPa	0 °C

Pressure (P₁)

kPa

Temp (T₁)

°C

Comp. Ratio (r)

Heat Ratio (k)

Cut-off Ratio (r_c)

Efficiency (η)

0 %

Net Work (w)

0 kJ/kg

State	Pressure	Temp
1	0 kPa	0 °C
2	0 kPa	0 °C
3	0 kPa	0 °C
4	0 kPa	0 °C

Pressure (P₁)

kPa

Temp (T₁)

°C

Pressure Ratio (r_p)

Heat Ratio (k)

Turbine Inlet Temp (T₃)

°C

Efficiency (η)

0 %

Net Work (w)

0 kJ/kg

State	Temp
1	0 °C
2	0 °C
3	0 °C
4	0 °C

Kinetic Energy (KE = ½mv²)

Mass (m)

Velocity (v)

m/s

Kinetic Energy

0 J

Potential Energy (PE = mgh)

Mass (m)

Gravity (g)

m/s²

Height (h)

Potential Energy

0 J

Water Enthalpy Change

Calculates the total energy required to heat ice into superheated steam.

Water Mass (m)

Initial Temp (T₁)

°C

Final Temp (T₂)

°C

Total Enthalpy Change (ΔH)

0 kJ

Energy per Phase

Heating Ice: 0 kJ
Melting Ice: 0 kJ
Heating Water: 0 kJ
Vaporizing: 0 kJ
Heating Steam: 0 kJ

Entropy

COMING SOON

Heat & Work

COMING SOON

Composite Wall Heat Conduction

Calculates the steady-state heat transfer rate through a multi-layered plane wall.

General Conditions

Area (A)

m²

Hot Temp (T₁)

°C

Cold Temp (T₂)

°C

Material Layer Properties

Layer 1

Thickness (L₁)

Conductivity (k₁)

W/m·K

Layer 2 (Optional)

Thickness (L₂)

Conductivity (k₂)

W/m·K

Layer 3 (Optional)

Thickness (L₃)

Conductivity (k₃)

W/m·K

Heat Transfer Rate (q)

0 W

Calculation Details

Resistance R₁: 0 K/W
Resistance R₂: 0 K/W
Resistance R₃: 0 K/W
Total Resistance: 0 K/W
Interface Temp T₁₂: 0 °C
Interface Temp T₂₃: 0 °C

Mechanical Engineering

Force (F = m * a)

Moment (M = F * d)

Reaction Force (Point Load)

Reaction Force (Distributed Load)

Equilibrium Force

Shear Force & Bending Moment Diagram

Crank-Slider Kinematics

Rotational Dynamics (Solid Cylinder)

Axial Stress and Strain

Young's Modulus (Modulus of Elasticity)

Torsional Shear Stress on Shaft

Beam Deflection

Factor of Safety (FoS)

Shaft Design (ASME Standard)

Operating Loads

Material & Design Factors

Spur Gear Design

General Parameters

Pinion Geometry

Gear Geometry

Belt & Chain Geometry

Joint Design

L10 Bearing Life

Combined Load Stress Analysis

Stress Conditions at Critical Points

Fatigue Life Estimation (S-N Method)

Marin Modification Factors

Thermal Cycle Efficiency

Kinetic Energy (KE = ½mv²)

Potential Energy (PE = mgh)

Water Enthalpy Change

Energy per Phase

Entropy

Heat & Work

Composite Wall Heat Conduction

General Conditions

Material Layer Properties

Calculation Details

Convection Calculator

Radiation Calculator

Nusselt & Reynolds Number Calculator

Heat Exchanger Calculator

Bernoulli & Debit Aliran

Tekanan Hidrostatik

Gaya Fluida

Dimensi & Reynolds

Rugi-Rugi Pipa

Cutting Speed Calculator

Machining Time & Power Calculator

Material Removal Rate Calculator

Cost Estimation Calculator

Natural Frequency Calculator

Damping & Resonance Calculator

Mass-Spring System Calculator

Vibration Response Calculator

Pump Power Calculator

Turbine Power Calculator

Head Calculator

Efficiency Calculator

Torque Calculator

Power Calculator

BSFC Calculator

Catatan / Scratchpad