Mechanics
The relationships between forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.
Related Topics
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Fasteners
Bolts, nuts and threaded rods - torque, tension and loads. -
Threads
Thread data - metric, unified, ACME and others.
Related Documents
Acceleration of Gravity and Newton's Second Law
Acceleration of gravity and Newton's Second Law - SI and Imperial units.
Acceleration Units Converter
Converting between units of acceleration.
American Standard Beams - S Beam
American Standard Beams ASTM A6 - Imperial units.
American Wide Flange Steel Beams (W-Beams) - Dimensions and Properties in Imperial Units
Dimensions, weight, section properties, and essential data of American wide flange steel beams (W-beams) according to the ASTM A6 standard.
American Wide Flange Steel Beams: Dimensions and Properties (ASTM A6 in Metric)
American Wide Flange Beams ASTM A6 in metric units.
Area Moment of Inertia - Typical Cross Sections II
Area Moment of Inertia, Moment of Inertia for an Area or Second Moment of Area for typical cross section profiles.
Area Moment of Inertia Converter
Convert between Area Moment of Inertia units.
Area Moment of Inertia with Definitions, Formulas & Calculator
Explore the area moment of inertia (second moment of area) with detailed formulas, calculation tools, and reference tables for common shapes. Essential for structural and mechanical engineering applications.
Beam Loads - Support Force Calculator
Calculate beam load and supporting forces.
Beams - Fixed at One End and Supported at the Other - Continuous and Point Loads
Supporting loads, moments and deflections.
Beams Fixed at Both Ends with Continuous and Point Loads: Load & Deflection Formulas
Stress, deflections and supporting loads.
Beams Supported at Both Ends with Continuous and Point Loads: Stress, Deflection, Formulas and Calculators
Supporting loads, stress and deflections.
Belt Transmissions - Speed and Length of Belts
Calculate length and speed of belt and belt gearing.
Belts - Power Transmission and Efficiency
Calculate belts power transmission and efficiency
Belts - Pulley Diameters vs. Speed
The pulley laws - driver and driven - diameter and rpm
Bodies Moving on Inclined Planes - Acting Forces
Required forces to move bodies up inclined planes.
Bollard Forces
Friction, load and effort forces acting in ropes turned around bollards.
British Universal Columns and Beams
Properties of British Universal Steel Columns and Beams.
Cable Loads
Force and tension in cables with uniform loads.
Car Acceleration
Car acceleration calculator.
Center Mass
Calculate position of center mass.
Center of Gravity
A body and the center of gravity.
Center of Gravity and Buoyancy
Stability - the center of gravity vs. the center of buoyancy.
Centripetal and Centrifugal Acceleration Force
Forces due to circular motion and centripetal / centrifugal acceleration.
Conn-Rod Mechanism
The connecting rod mechanism.
Conservation of Momentum
The momentum of a body is the product of its mass and velocity - recoil calculator.
Density, Specific Weight, and Specific Gravity – Definitions & Calculator
The difference between density, specific weight, and specific gravity. Including formulas, definitions, and reference values for common substances.
Disk Brakes - Torque and Force
Forces and torque activated with disk brakes.
Drawbridge - Force and Moment vs. Elevation
Calculate the acting forces and moments when elevating drawbridges or beams.
Efficiency of Small Machine Elements
Friction and efficiency in bearings and roller chains.
Elevators - Force and Power
Required force and power to lift an elevator.
Energy
Energy is the capacity to do work.
Engineering Materials - Properties
Some typical properties of engineering materials like steel, plastics, ceramics and composites.
Equilibrant Force
The force required to keep a system of forces in equilibrium.
Fibre-reinforced Polymer Composites
Mechanical properties of fibers used to reinforce polymer composites.
Flywheels - Kinetic Energy
The kinetic energy stored in flywheels - the moment of inertia.
Force
Newton's third law - force vs. mass and acceleration.
Force Ratio
The force ratio is the load force versus the effort force.
Forces acting on Body Moving on a Horizontal Plane
The forces acting on bodies moved in horizontal planes.
Forces and Tensions in Ropes due to Angle
Reduced load capacities in ropes, cables or lines - due to acting angle.
Formulas of Motion - Linear and Circular
Linear and angular (rotation) acceleration, velocity, speed and distance.
Friction Coefficients - Common Materials and Surfaces
Find friction coefficients for various material combinations, including static and kinetic friction values. Useful for engineering, physics, and mechanical design applications.
Gear Reducing Formulas
Output torque, speed and horsepower with gears.
Gear Trains - Bicycle Gearing Calculator
Gear train transmissions - bicycle gearing.
Gears
Gears effort force vs. load force.
Harmonic Oscillator
A simple harmonic oscillator.
HE-A Steel Beams
Properties of HE-A profiled steel beams.
HE-B Steel Beams
Properties of HE-B profiled steel beams.
HE-M Steel Beams
Properties of HE-M profile steel beams.
Hooke's Law
Hooke's law - force, elongation and spring constant.
Hot Air Balloon Lifting Force Calculator
Calculate the lifting force of a hot air balloon based on temperature difference, air density, and balloon volume. Includes formulas, explanations, and practical applications for aeronautics and physics.
Improvised Torque Wrench
Improvise a torque wrench with a luggage scale.
Impulse and Impulse Force
Forces acting a very short time are called impulse forces.
ISO 28741 Metric Thread Dimensions for Spark Plugs
Metric threads spark plugs according ISO 28741.
Kinetic Energy
Energy possessed by an object's motion is kinetic energy.
Levers
Use levers to magnify forces.
Lifting Wheels
Loads and effort force with lifting wheels.
Mass Moment of Inertia
The Mass Moment of Inertia vs. mass of object, it's shape and relative point of rotation - the Radius of Gyration.
Mass vs. Weight
Mass vs. weight - the Gravity Force.
Metric Bolt Strength: Minimum, Ultimate Tensile & Proof Loads - Metric
Minimum ultimate tensile and proof loads for metric bolts with coarse or fine threads.
Metric Nuts - Proof Loads
Proof loads of metric nuts - coarse and fine threads.
Metric Steel Bolts - Grades and Property Classes
Metric steel bolts, screws and studs - proof and tensile strength.
Modulus of Rigidity
Shear Modulus (Modulus of Rigidity) is the elasticity coefficient for shearing or torsion force.
Motors - Speed vs. Pulley Diameter
Pulley (Sheave) selection charts for motors ranging 850 - 3450 rpm.
Movement Ratio
Machines and movement ratio (velocity ratio).
Normal Flange I-Beams
Properties of normal flange I profile steel beams.
Poisson's Ratio – Definition, Values for Materials, and Applications
Poisson's ratio, a key material property describing the relationship between axial and lateral strain in solid materials. Typical Poisson's ratio values for metals, polymers, ceramics, and more, along with practical applications in engineering and mechanics.
Poisson's Ratios Metals
Some metals and their Poisson's Ratios.
Potential Energy - Hydropower
Elevation and potential energy in hydropower.
Power
Power is the rate at which work is done or energy converted.
Projectile Range
Calculate the range of a projectile - a motion in two dimensions.
Pulleys
Pulleys, blocks and tackles.
Radians vs. Degrees - Definition and Conversions
Radian is the SI unit of angle. Convert between degrees and radians. Calculate angular velocity.
Radius of Gyration in Structural Engineering
Radius of gyration describes the distribution of cross sectional area in columns around their centroidal axis.
Restricted Thermal Expansion - Force and Stress
Stress and force when thermal expansion a pipe, beam or similar is restricted.
Rolling Resistance
Rolling friction and rolling resistance.
Rotating Shafts - Torque
Torsional moments acting on rotating shafts.
Screw Jack - Effort Force vs. Load
Screw jacks and effort forces.
Section Modulus - Unit Converter
Convert between Elastic Section Modulus units.
Shafts Torsion
The torsion of solid or hollow shafts - Polar Moment of Inertia of Area.
Steel Bolts - ASTM Grades
ASTM steel bolts - proof and tensile strength.
Steel Bolts - SAE Grades
SAE steel bolts - grades ranging grade 1 to 8.2 - proof and tensile strength.
Steels - Endurance Limits and Fatigue Stress
Endurance limits and fatigue stress for steels.
Stiffness
Stiffness is resistance to deflection.
Stress
Stress is force applied on cross-sectional area.
Stress in Thick-Walled Cylinders or Tubes
Radial and tangential stress in thick-walled cylinders or tubes with closed ends - with internal and external pressure.
Stress in Thin-Walled Cylinders or Tubes
Hoop and longitudinal stress thin-walled tubes or cylinders.
Stress, Strain and Young's Modulus
Stress is force per unit area - strain is the deformation of a solid due to stress.
Support Reactions - Equilibrium
Static equilibrium is achieved when the resultant force and resultant moment equals to zero.
Three-Hinged Arches - Continuous and Point Loads
Support reactions and bending moments.
Toggle Joint
A toggle joint mechanism can be used to multiply force.
Torque - Work done and Power Transmitted
The work done and power transmitted by a constant torque.
Torque or Moment of Force - Online Converter
Torque or moment - the tendency of a force to rotate an object.
Trusses
Common types of trusses.
Unified Thread Standards: UNC & UNF Size Charts & Specifications
ANSI/ASME B1.1 Unified National Thread - UNC Coarse series and UNF Fine series.
Universal Gravitational Law
Gravitational attraction between two objects vs. mass of the objects and the distance between them.
Vector Addition
Online vector calculator - add vectors with different magnitude and direction - like forces, velocities and more.
Weight of Beams - Stress and Strain
Stress and deformation of vertical beams due to own weight.
Wind Load vs. Wind Speed
Wind load on surface - Wind load calculator.
Wire Rope Slings
Sling angles and influence on capacity.
Work done by Force
Work done by a force acting on an object.
Young’s Modulus of Elasticity – Values for Common Materials
Young’s Modulus (Elastic Modulus) of various materials, including metals, plastics, and composites. How stiffness and elasticity influence material performance in engineering applications.
