The Mechanical Engineering Handbook
☰
Calculators
Material Properties
Unit Conversion
Useful Resources
Glossary
Control & Electrical
Fluid Dynamics
Geometric
Material Properties
Structural Mechanics
Thermodynamics
Control Theory
Electrical
Buoyancy-Driven Flow & Natural Ventilation
Compressible Flow
Dimensionless Numbers
Incompressible Flow
Propeller Theory
2D
3D
Mechanical Properties
Thermal Properties
Beams in Bending
Stress Analysis
Strain Analysis
Tribology
Basic
Heat Transfer
Psychrometry
Thermodynamic Cycles
First Order
Rise Time
Settling Time (2%)
Time Constant
Second Order Systems
Damped Frequency
Overshoot
Peak Time
Peak Value
Settling Time (2%)
Settling Time (5%)
General
Capacitance
Electric Charge
Energy Stored Inside a Capacitor
Ohms Law
Power
AC
Capactive Reactance
Inductive Reactance
Power
Buoyancy-Driven Flow
Buoyancy Force
Buoyancy Driven Flow Rate
Natural Ventilation
Stack Effect
Ventilation Rate
Plumes in Rooms
Plume Cross-Sectional Area
Vertical Volume Flow Rate
General
Isothermal Pipe Flow
Speed of Sound
Isentropic Relationships
Density and Temperature
Pressure and Density
Pressure-Temperature
Shock Wave Relations (Normal Shock)
Density Ratio
Pressure Ratio
Temperature Ratio
Stagnation Properties
Stagnation Density
Stagnation Pressure
Stagnation Temperature
Fluid Flow
Darcy Number
Froude Number
Mach Number
Reynolds Number
Weber Number
Fluid-Heat Transfer
Biot Number
Grashof Number
Nusselt Number
Prandtl Number
Drag
Drag Equation
Stokes Law for Spherical Drag
Bernoulli Equations
Standard Bernoulli Equation
Bernoulli Equation for Constant Height (Hydrostatic Pressure)
Bernoulli Equation for Horizontal Flow
Pipe Flow
Continuity
Darcy-Weisbach Equation
Flow Rate
Flow Rate Through an Orrifice
Force on a Fluid in a Control Volume
Head Differrence Between Two Ends of a Pipe
Poiseuille's Law
Thrust
Blade Element Momentum Theory (BEMT)
Thrust Equation
Coefficients and Ratios
Advance Ratio
Power Coefficient
Propeller Efficiency
Thrust Coefficient
Other
Helix Angle
Helical Tip Velocity
Induced Drag (Vortex Theory)
Induced Velocity (Momentum Theory)
Torque
Basic
Circumference
Cross-Sectional Area
Perimeter
Advanced
Second Moment of Area
Basic
Surface Area
Volume
Properties
Bulk Modulus
Density
Ductility (% Elongation)
Elastic Modulus
Hardness (Brinell)
Fracture Toughness
Poisson's Ratio
Shear Modulus
Ultimate Tensile Strength
Yield Strength
Properties
Thermal Diffusivity
Thermal Expansion
General
Engineers Bending Moment Equation
Euler's Buckling Load
General Bending Stress
Uniformly Distributed Load
Cantilever Beam
Point Load
Point Load at Center of Beam
UDL Over Entire Span of Beam
Fixed Beam
UDL Over Entire Span of Beam
Simply Supported Beam
Point Load
Point Load at Center of Beam
UDL Over Entire Span of Beam
General
General 2D Stress Transformations
Principal Stress and Principle Angles
Von Mises Stress
Cylindrical Stress
Axial Stress
Hoop Stress
General
Normal Strain
Principal Strains
Shear Strain
Strain Energy Density
Strain Under Axial Loading
Strain Under Shear Loading
Volumetric Strain
Friction
Friction Force (Coulomb's Law of Friction)
Friction Power Loss
Hertzian Contact Stress
Lubrication
Boundary Lubrication Friction Coefficient
Coefficient of Friction in Hydrodynamic Lubrication
Wear
Specific Wear Rate
Stribeck Curve
Wear Rate (Archard's Wear Equation)
Basic Equations
Enthalpy
First Law
Heat Transfer
Steady Flow Energy Equation
The Perfect Gas Equation
Basic
Conduction
Convection
Heat Exchange Fins
Conduction
Convection: Steady State
Basic Definitions
Relative Humidity
Dew Point Temperature
Humidity Ratios
Humidity (Mixing) Ratio
Specific Humidity
Brayton Cylce
Heat
Efficiency
Work
Carnot Cycle
Efficiency
Heat Added & Rejected
Net Work Done
Diesel Cylce
Cutoff Ratio
Efficiency
Heat
Work Done
Otto Cylce
Compression Ratio
Efficiency
Heat Added (Combustion Process)
Heat Rejected (Exhaust Process)
Pressure
Temperature
Rankine Cylce
Efficiency
Heat Added by Boiler (Isobaric Heat Addition)
Heat Rejected in Condensor (Isobaric Heat Rejection)
Work Done by Pump (Isentropic Compression)
Work Done by Turbine (Isentropic Expansion)
Common
Electrical
Engineering
Fluid Mechanics
Geometric
Mechanical
Thermodynamics
Distance
Mass
Speed
Temperature
Time
Current
Electrical Conductivity
Power
Resistivity
Voltage
Acceleration
Density
Energy
Force
Force Moment
Moment of Inertia
Pressure
Torque
Dynamic Viscosity
Flow Rate
Kinematic Viscosity
Surface Tension
Angle
Area
Specific Volume
Volume
Angular Acceleration
Angular Velocity
Rotational Frequency
Specific Heat Capacity
Thermal Conductivity
Thermal Resistance
Electrical Properties
Mechanical Properties
Thermal Properties
Ferrous Alloys
Non-Ferrous Metals
Non-Metals
Metals
Semiconductors
Ceramics
Composites
Metals
Polymers (Plastics)
Rubbers
Alloy Steel
Carbon Steel
Cast Iron
Stainless Steel
Aluminium Alloys
Copper Alloys
Nickel Alloys
Titanium Alloys
Zinc Alloys
Plastics
Rubbers
Woods
Book Reccomendations
CAE Software
Engineering Institutions
Top Picks
CAD Software
CFD Software
FEA Software
What are Engineering Institutions
List of Institutions
Engineering Design
Fluid Dynamics
General
Manufacturing
Quality Management
Structural Mechanics
Thermodynamics
Calculators ▾
Control ▾
First Order Systems
Rise Time
Settling Time (2%)
Time Constant
Second Order Systems
Damped Frequency
Overshoot
Peak Time
Peak Value
Ohms Law
Power
Electrical ▾
General
Capacitance
Electric Charge
Energy Stored Inside a Capacitor
Ohms Law
Power
AC
Capactive Reactance
Inductive Reactance
Power
Fluid Dynamics ▾
Buoyancy-Driven Flow & Natural Ventilation
Buoyancy-Driven Flow
Buoyancy Force
Buoyancy Driven Flow Rate
Natural Ventilation
Stack Effect
Ventilation Rate
Plumes in Rooms
Plume Cross-Sectional Area
Vertical Volume Flow Rate
Compressible Flow
General
Isothermal Pipe Flow
Speed of Sound
Isentropic Relationships
Density and Temperature
Pressure and Density
Pressure-Temperature
Shock Wave Relations (Normal Shock)
Density Ratio
Pressure Ratio
Temperature Ratio
Stagnation Properties
Stagnation Density
Stagnation Pressure
Stagnation Temperature
Dimensionless Numbers
Fluid Flow
Darcy Number
Froude Number
Mach Number
Reynolds Number
Weber Number
Fluid-Heat Transfer
Biot Number
Grashof Number
Nusselt Number
Prandtl Number
Incompressible Flow
Drag
Drag Equation
Stokes Law for Spherical Drag
Bernoulli Equations
Standard Bernoulli Equation
Bernoulli Equation for Constant Height (Hydrostatic Pressure)
Bernoulli Equation for Horizontal Flow
Pipe Flow
Continuity
Darcy-Weisbach Equation
Flow Rate
Flow Rate Through an Orrifice
Force on a Fluid in a Control Volume
Head Differrence Between Two Ends of a Pipe
Poiseuille's Law
Propeller Theory
Thrust
Blade Element Momentum Theory (BEMT)
Thrust Equation
Coefficients and Ratios
Advance Ratio
Power Coefficient
Propeller Efficiency
Thrust Coefficient
Other
Helix Angle
Helical Tip Velocity
Induced Drag (Vortex Theory)
Induced Velocity (Momentum Theory)
Torque
Geometric ▾
2D
Circumference
Cross-Sectional Area
Perimeter
Second Moment of Area
3D
Circumference
Material Properties ▾
Mechanical Properties
Bulk Modulus
Density
Ductility (% Elongation)
Elastic Modulus
Hardness (Brinell)
Fracture Toughness
Poisson's Ratio
Shear Modulus
Ultimate Tensile Strength
Yield Strength
Thermal Properties
Thermal Diffusivity
Thermal Expansion
Structural Mechanics ▾
Beams in Bending
General
Bulk Modulus
Engineers Bending Moment Equation
Euler's Buckling Load
General Bending Stress
Uniformly Distributed Load
Cantilever Beam
Point Load
Point Load at Center of Beam
UDL Over Entire Span of Beam
Fixed Beam
UDL Over Entire Span of Beam
Simply Supported Beam
Point Load
Point Load at Center of Beam
UDL Over Entire Span of Beam
Stress Analysis
General
General 2D Stress Transformations
Principal Stress and Principle Angles
Von Mises Stress
Cylindrical Stress
Axial Stress
Hoop Stress
Strain Analysis
General
General 2D Stress Transformations
Normal Strain
Principal Strains
Shear Strain
Strain Energy Density
Strain Under Axial Loading
Strain Under Shear Loading
Volumetric Strain
Tribology
Friction
Bulk Modulus
Friction Force (Coulomb's Law of Friction)
Friction Power Loss
Hertzian Contact Stress
Lubrication
Boundary Lubrication Friction Coefficient
Coefficient of Friction in Hydrodynamic Lubrication
Wear
Specific Wear Rate
Stribeck Curve
Wear Rate (Archard's Wear Equation)
Thermodynamics ▾
Basics
Basic Equations
Enthalpy
First Law
Heat Transfer
Steady Flow Energy Equation
The Perfect Gas Equation
Heat Transfer
Steady State
Conduction
Convection
Heat Exchange Fins
Conduction
Convection: Steady State
Psychrometry
Basic Definitions
Relative Humidity
Dew Point Temperature
Humidity Ratios
Humidity (Mixing) Ratio
Specific Humidity
Thermodynamic Cycles
Brayton Cylce
Heat
Efficiency
Work
Carnot Cylce
Efficiency
Heat Added & Rejected
Net Work Done
Diesel Cylce
Cutoff Ratio
Efficiency
Heat
Work Done
Otto Cylce
Compression Ratio
Efficiency
Heat Added (Combustion Process)
Heat Rejected (Exhaust Process)
Pressure
Temperature
Rankine Cylce
Efficiency
Heat Added by Boiler (Isobaric Heat Addition)
Heat Rejected in Condensor (Isobaric Heat Rejection)
Work Done by Pump (Isentropic Compression)
Work Done by Turbine (Isentropic Expansion)
Material Properties ▾
Electrical ▾
Metals
Semiconductors
Mechanical ▾
Ferrous Alloys
Alloy Steel
Carbon Steel
Cast Iron
Stainless Steel
Non-Ferrous Alloys
Aluminium Alloys
Copper Alloys
Nickel Alloys
Titanium Alloys
Zinc Alloys
Non-Metals
Plastics
Rubbers
Woods
Thermal ▾
Ceramics
Composites
Metals
Polymers (Plastics)
Rubbers
Unit Conversions ▾
Common ▾
Distance
Mass
Speed
Temperature
Time
Electrical ▾
Current
Electrical Conductivity
Power
Resistivity
Voltage
Engineering ▾
Acceleration
Density
Energy
Force
Force Moment
Moment of Inertia
Pressure
Torque
Fluid Mechanics ▾
Dynamic Viscosity
Flow Rate
Kinematic Viscosity
Surface Tension
Geometric ▾
Angle
Area
Specific Volume
Volume
Mechanical ▾
Angular Acceleration
Angular Velocity
Rotational Frequency
Thermodynamics ▾
Specific Heat Capacity
Thermal Conductivity
Thermal Resistance
Useful Resources ▾
Book Reccomendations
CAE Software
Engineering Institutions
Glossary
Home
/
Geometric Calculators Homepage
/ Cross-Sectional Area
Cross-Sectional Area
Calculator
Beam Cross Section:
Rectangular
Hollow Rectangular
Circular
Hollow Circular
I Beam
C-Channel
T Section
L Section
Isosceles Triangle Section
Equalateral Triangle Section Section
Large Width (B):
m
cm
Large Height (H):
m
cm
Small Width (b):
m
cm
Small Height (h):
m
cm
Total height of L section (d):
m
cm
Thickness of Flange in L Section (t):
m
cm
Side length (a):
m
cm
Cross-Sectional Area Equations
Rectangular Cross-Section: $$ A = BH $$
Hollow Rectangular Cross-Section: $$ A = BH -bh $$
Circular Cross-Section: $$ A = \pi \cdot {\left(\frac{D^2}{4}\right)} $$
Hollow Circular Cross-Section: $$ A = \pi \cdot \left( {\left(\frac{D^{2}}{4}\right)} - {\left(\frac{d^2}{4}\right)} \right) $$
I Beam Cross-Section: $$ A = 2 Bh + Hb $$
C Channel Cross-Section: $$ A = 2 Bh + Hb $$
T Cross-Section: $$ A = Bh + Hb $$
L Cross-Section: $$ A = t(b + d - t) $$
Isosceles Triangle Section: $$ A = \frac{b h}{2} $$
Equalateral Triangle Section: $$ A = 0.433a^2 $$