# Mechanics

## Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more

### • Threads

Thread data - metric, unified, ACME and others

### • Fasteners

Bolts, nuts and threaded rods - torque, tension and loads

### Acceleration of Gravity and Newton's Second Law

Acceleration of gravity and Newton's Second Law - SI and Imperial units

### Acceleration Units Converter

Convert between units of acceleration

### American Standard Beams - S Beam

American Standard Beams ASTM A6 - Imperial units

### American Wide Flange Beams

American Wide Flange Beams ASTM A6 in metric units

### American Wide Flange Beams - W Beam

Dimensions of American Wide Flange Beams ASTM A6 - Imperial units

### Area Moment of Inertia - Converter

Convert between Area Moment of Inertia units

### Area Moment of Inertia - Typical Cross Sections I

Area Moment of Inertia, Moment of Inertia for an Area or Second Moment of Area for typical cross section profiles

### 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

### Beam Loads - Support Force Calculator

Calculate beam load and supporting forces

### Beams - Fixed at Both Ends - Continuous and Point Loads

Support loads, stress and deflections

### Beams - Fixed at One End and Supported at the Other - Continuous and Point Loads

Support loads, moments and deflections

### Beams - Supported at Both Ends - Continuous and Point Loads

Support loads, stress and deflections

### Belt Transmissions - Length and Speed of Belt

Length and speed of belt and belt gearing

### Belts - Power Transmission and Efficiency

Calculate belts power transmission and efficiency

### Bollard Force

Bollard rope friction - load and effort force in rope

### 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

Calculate acceleration of car

### Center Mass

Calculate position of center mass

### Center of Gravity

Bodies and their center of gravity

### Center of Gravity and Buoyancy

Stability - center of gravity and center of buoyancy

### Centripetal and Centrifugal Force - Acceleration

Centripetal and centrifugal acceleration - forces due to circular motion

### Conn-Rod Mechanism

The connecting rod mechanism

### Conservation of Momentum

Momentum of a body is defined as the product of its mass and velocity - recoil calculator

### Density, Specific Weight and Specific Gravity

An introduction to density, specific gravity and specific weight - formulas with examples

### Disk Brakes - Force and Torque

Force and torque by activated disk brakes

### Drawbridge Elevation - Force and Moments

Calculate elevation moment for a drawbridge or a beam

### Efficiency of Small Machine Elements

Friction and efficiency in bearings and roller chains

### Elevator - Force and Power

Required force and power to lift an elevator

### Energy

Energy is the capacity to do work

### Engineering Materials

Typical properties of engineering materials like steel, plastics, ceramics and composites

### Equilibrant

The force required to keep a system of forces in equilibrium

### Fibre-reinforced Polymer Composites

Mechanical properties of fibers used to reinforce polymer composites

### Flywheel Kinetic Energy

Kinetic energy stored in a flywheel - moment of inertia

### Force

Newton's third law - mass and acceleration

### Force acting on Body Moving in Horizontal Plane

The force acting on a body moved in the horizontal plane

### Force Acting on Body Moving on Inclined Plane

Required force to move a body up an inclined plane

### Force and Tension in Rope due to Angle

Reduced load capacity in ropes, cables or lines - due to angle

### Force Ratio

Force ratio - load force versus effort force

### Formulas of Motion - Linear and Circular

Linear and angular (rotation) acceleration, velocity, speed and distance

### Friction and Friction Coefficients for various Materials

The friction theory and friction coefficients at different conditions for various materials like ice, aluminum, steel, graphite and other common materials and materials combinations

### Gear Reducing Formulas

Output torque, speed and horsepower when using gears

### Gear Trains - Bicycle Gearing Calculator

Gear train transmission - bicycle gearing

### Gears

Gears and effort 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

Calculate potential lifting force in hot air volume

### Improvised Torque Wrench

Improvised torque wrench with luggage scale

### Impulse and Impulse Force

Forces acting a very short time are called impulse forces

### ISO 2841 - Spark Plugs Metric Threads

Metric threads spark plugs according ISO 28741

### Kinetic Energy

Kinetic energy of a rigid body is the energy possessed by its motion

### Levers

Use levers to excert forces

### Lifting Wheels

Lifting wheels - loads and effort force

### Mass and Weight

Mass and Weight - the Gravity Force

### Mass Moment of Inertia

Mass Moment of Inertia (Moment of Inertia) depends on the mass of the object, its shape and its relative point of rotation - Radius of Gyration

### Metric Bolts - Minimum Ultimate Tensile and Proof Loads

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 and Pulley Selection

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

When a material is stretched in one direction it tends to get thinner in the other two directions

### Poisson's Ratio for Metals

Some metals and their Poisson's Ratio

### Potential Energy

Hydropower - elevation and potential energy

### Power

Power is the rate at which work is done or energy converted

### Pulleys

Pulleys, blocks and tackles

### Pulleys - Diameters and Speed

The pulley laws - driver and driven - diameter and rpm

### Radian

The radian - unit of angle - and angular velocity

### Radius of Gyration in Structural Engineering

Radius of gyration is used to describe the distribution of cross sectional area in a column around its centroidal axis

### Range of Projectile

Motion in two dimensions - calculate the range of a projectile

### Rolling Resistance

Rolling friction and rolling resistance

### Rotating Shafts and Torques

Torsional moments acting on rotating shafts

### Screw Jacks

Screw jacks and effort force

### Section Modulus - Unit Converter

Convert between Elastic Section Modulus units

### 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 Tubes or Cylinders

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

### Thermal Expansion - Stress and Force

Stress and force when thermal expansion is restricted

### 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

### Torsion of Shafts

The torsion of solid or hollow shafts - Polar Moment of Inertia of Area

### Trusses

Common types of trusses

### UNC and UNF - Unified Inch Screw Threads

ANSI/ASME B1.1 Unified National Thread - UNC Coarse series and UNF Fine series

### Universal Gravitational Law

The gravitational attraction between two objects depends on the 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 Beam - Stress and Strain

Stress and deformation of a vertical beam due to it's own weight

### Wind Velocity and Wind Load

Wind load on surface - Wind load calculator

### Wire Rope Slings

Sling angle and influence on capacity

### Work done by a Force

Work done by force acting on an object

### Young's Modulus - Tensile and Yield Strength for common Materials

Young's Modulus or Tensile Modulus alt. Modulus of Elasticity - and Ultimate Tensile and Yield Strength for steel, glass, wood and other common materials