Calculator catalog
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Found 270 calculators
Force from mass and acceleration
Calculates force from Newton's second law of motion.
Weight from mass
Calculates weight force from mass and gravitational acceleration.
Torque from force and lever arm
Calculates torque from force and a perpendicular lever arm.
Work from force and distance
Calculates work done by a constant force over a distance.
Power from work and time
Calculates average power from work and time.
Power from force and velocity
Calculates power for a constant force acting along the direction of motion.
Efficiency
Calculates efficiency as output divided by input.
Kinetic energy
Calculates kinetic energy from mass and velocity.
Potential energy
Calculates gravitational potential energy from mass, gravity and height.
Momentum
Calculates linear momentum from mass and velocity.
Impulse
Calculates impulse from force and duration.
Angular velocity from RPM
Converts rotational speed in revolutions per minute to angular velocity.
RPM from angular velocity
Converts angular velocity to revolutions per minute.
Linear speed from RPM and diameter
Calculates tangential linear speed from rotational speed and diameter.
Centripetal force
Calculates centripetal force for circular motion.
Perfectly elastic collision 1D
Calculates a one-dimensional elastic collision of two bodies.
Perfectly inelastic collision 1D
Calculates a collision after which both bodies move with a common velocity.
Coefficient of restitution
Calculates the ratio of relative separation to approach speed in 1D.
Terminal velocity with quadratic drag
Calculates terminal velocity, weight, and drag force at terminal conditions.
Ideal lever mechanical advantage
Calculates load force and ideal mechanical advantage of a lever.
Ideal pulley system
Calculates ideal effort force and rope distance from the number of supporting segments.
2D force components
Resolves a force into X and Y components from an angle.
Resultant of two perpendicular forces
Calculates resultant force and angle from perpendicular force components.
Moment about a point 2D
Calculates moment from force and perpendicular lever arm.
Inclined plane components
Calculates parallel and normal weight components on an incline.
Force to move with friction
Calculates simplified friction force from normal force and friction coefficient.
Distance in uniform motion
Calculates distance from velocity and time for uniform motion.
Average velocity
Calculates average velocity from distance and time.
Acceleration
Calculates acceleration from velocity change and time.
Final velocity with uniform acceleration
Calculates final velocity from initial velocity, acceleration, and time.
Distance with uniform acceleration
Calculates distance from initial velocity, constant acceleration, and time.
Braking distance with reaction
Calculates reaction distance, braking distance, and total stopping distance for a simplified model.
Projectile motion
Calculates basic projectile-motion quantities without air resistance.
Free fall
Calculates vertical motion at constant gravitational acceleration using a positive-downward convention.
Simple pendulum
Calculates the period and frequency of a simple pendulum in the small-angle approximation.
Rotational kinetic energy
Calculates rotational kinetic energy of a rigid body.
Torque from inertia and angular acceleration
Calculates torque required for an angular acceleration.
Mass moment of inertia of a disc
Calculates axial mass moment of inertia of a uniform solid disc.
Mass moment of inertia of a rod about center
Calculates mass moment of inertia of a uniform rod about its center.
Mass moment of inertia of a ring
Calculates axial mass moment of inertia of a thin ring.
Mass-spring natural frequency
Calculates simplified undamped natural frequency of a mass-spring system.
Rectangle area moment of inertia
Calculates rectangular area moment of inertia.
Circle area moment of inertia
Calculates solid circular area moment of inertia.
Tube area moment of inertia
Calculates tube area moment of inertia.
Solid shaft polar moment
Calculates polar moment of inertia for a solid circular shaft.
Hollow shaft polar moment
Calculates polar moment of inertia for a hollow circular shaft.
Rectangle section modulus
Calculates rectangular section modulus for bending.
Circle section modulus
Calculates solid circular section modulus.
Tube section modulus
Calculates tube section modulus.
Simply supported beam reactions - point load
Calculates support reactions for a point load at any position.
Simply supported beam - center load
Calculates reactions and maximum moment for a centered point load.
Simply supported beam - UDL reactions
Calculates reactions and maximum moment for a uniformly distributed load.
Beam UDL reactions
Calculates reactions A and B for a simply supported beam with a uniform load over the full span.
Beam UDL maximum moment
Calculates the maximum bending moment of a simply supported beam under uniform load.
Beam UDL maximum deflection
Calculates the maximum deflection of a simply supported beam under uniform load.
Simply supported center-load max deflection
Calculates maximum deflection of a simply supported beam with a centered point load.
Simply supported UDL max deflection
Calculates maximum deflection of a simply supported beam under a uniformly distributed load.
Cantilever end-load reaction
Calculates reaction and fixed-end moment for a cantilever with an end load.
Cantilever end-load deflection
Calculates free-end deflection of a cantilever loaded by an end point force.
Cantilever UDL deflection
Calculates free-end deflection of a cantilever under a uniformly distributed load.
Cantilever UDL maximum moment
Calculates the maximum fixed-end moment of a cantilever under uniform load.
Required section modulus
Calculates required section modulus from bending moment and allowable stress.
Allowable beam moment
Calculates allowable bending moment from allowable stress and section modulus.
Beam bending stress
Calculates bending stress from bending moment and section modulus.
Required moment of inertia - center load
Calculates required second moment of area for a deflection limit on a simply supported beam.
Simply supported beam reactions from point load at distance
Calculates support reactions A and B for a point load placed at a given distance from support A.
Simply supported beam maximum moment from center load
Calculates the maximum bending moment for a simply supported beam with a centered point load.
Cantilever maximum moment from end load
Calculates the maximum fixed-end moment of a cantilever with a point load at the free end.
Simply supported beam - linearly varying distributed load
Calculates reactions, resultant load, shear, point moment, and maximum moment for triangular, trapezoidal, or uniform distributed load.
Fixed-fixed beam - center point load
Calculates reactions, fixed-end moments, midspan moment, and maximum deflection for a centered point load on a fixed-fixed beam.
Fixed-fixed beam - UDL
Calculates reactions, fixed-end moments, midspan moment, and maximum deflection for a full-span uniform load.
Propped cantilever beam - UDL
Calculates reactions, fixed-end moment, and maximum positive moment for a cantilever fixed at A and propped at B.
Overhanging beam - end point load
Calculates support reactions and moment at support B for a point load at the end of an overhang beyond support B.
Simply supported beam - two point loads
Calculates reactions and moments at two point loads, selecting the largest absolute moment value.
Beam deflection limit ratio
Calculates allowable deflection from span and limit ratio, plus utilization, margin, and pass flag.
Bolt tensile stress
Calculates tensile stress from axial force and bolt stress area.
Bolt shear stress - single shear
Calculates bolt shear stress for a single shear plane.
Bolt shear stress - double shear
Calculates bolt shear stress for two shear planes.
Bolt preload from torque
Estimates bolt preload from tightening torque, nut factor K, and nominal diameter.
Bolt torque from preload
Estimates tightening torque from preload force, nut factor K, and nominal diameter.
Required bolt count in tension
Calculates the minimum bolt count for tensile loading by rounding up.
Required bolt count in shear
Calculates the minimum bolt count for shear loading by rounding up.
Bolt bearing pressure
Calculates average bearing pressure from force, bolt diameter, and plate thickness.
Bolt factor of safety
Calculates bolt safety factor as allowable stress divided by actual stress.
Bolt preload stress
Calculates average bolt stress as preload divided by tensile stress area.
Simple bolt joint safety factor
Calculates the factor as allowable load divided by applied load.
Simple bolt joint load share
Calculates bolt stiffness, load-share factor, bolt load increase, remaining clamp force, and separation flag.
Bolt joint separation load
Calculates separation load from preload and the stiffness-based load-share factor.
Torque from power and rpm
Calculates torque from power and rotational speed.
Power from torque and rpm
Calculates power from torque and rotational speed.
Solid shaft torsional stress
Calculates maximum shear stress in a solid circular shaft.
Hollow shaft torsional stress
Calculates maximum shear stress in a hollow circular shaft.
Required solid shaft diameter
Calculates required solid shaft diameter from torque and allowable shear stress.
Shaft twist angle from polar moment
Calculates shaft twist angle from torque, length, shear modulus, and polar moment of inertia.
Solid shaft shear stress
Calculates maximum shear stress in a solid circular shaft from torque.
Shaft diameter from torque and stress
Calculates required solid circular shaft diameter from torque and allowable shear stress.
Solid shaft angle of twist
Calculates twist angle for a solid circular shaft.
Hollow shaft angle of twist
Calculates twist angle for a hollow circular shaft.
Shaft combined bending and torsion von Mises
Calculates von Mises equivalent stress for a solid shaft under bending and torsion.
Key shear stress
Calculates simplified key shear stress from shaft torque.
Key bearing pressure
Calculates simplified key bearing pressure from shaft torque.
Required key length from shear and bearing
Calculates required key length as the larger of the shear and bearing-pressure requirements.
Shaft critical speed for a single mass
Calculates simplified critical speed from gravity and static deflection.
Spring force from deflection
Calculates linear spring force from stiffness and deflection.
Spring deflection from force
Calculates linear spring deflection from force and stiffness.
Spring energy
Calculates energy stored in a linear spring.
Spring stored energy
Calculates energy stored in a linear spring from spring rate and deflection.
Spring solid height
Calculates spring solid height as wire diameter multiplied by total coils.
Springs in parallel
Sums the stiffnesses of springs connected in parallel.
Springs in series
Calculates equivalent stiffness for springs connected in series.
Coil spring rate
Calculates simplified stiffness of a cylindrical helical spring.
Spring index
Calculates the ratio of mean coil diameter to wire diameter.
Spring Wahl factor
Calculates spring index and Wahl factor from coil geometry.
Helical spring shear stress with Wahl factor
Calculates helical spring shear stress with Wahl correction.
Compression spring available travel
Calculates available travel from free length, solid height, and required clearance.
Torsion spring rate
Calculates simplified angular rate and torque for a torsion spring.
Torsion spring bending stress
Calculates inner and outer fiber bending stress for a torsion spring.
Mass-spring natural frequency
Calculates undamped natural frequency of a mass-spring system.
Bearing L10 life in revolutions
Calculates simplified L10 life from dynamic load rating, equivalent load, and life exponent.
Bearing L10 life in hours
Converts life expressed in revolutions to operating hours at constant rotational speed.
Bearing static safety factor
Calculates static safety factor from static load rating and static equivalent load.
Plain bearing PV value
Calculates PV value as pressure multiplied by sliding velocity.
Ball bearing L10 life
Calculates simplified ball bearing L10 life from dynamic load rating and load.
Roller bearing L10 life
Calculates simplified roller bearing L10 life using the 10/3 exponent.
Bearing life in hours
Converts revolutions to operating time at constant rotational speed.
Required ball bearing dynamic capacity
Calculates required dynamic capacity C for a ball bearing and target L10 life.
Simple bearing equivalent dynamic load
Calculates simplified equivalent dynamic load from radial load, axial load, and X/Y factors.
Reliability-adjusted bearing life
Multiplies basic L10 life by a user-entered reliability factor a1.
General required bearing dynamic capacity
Calculates required dynamic capacity C from load, required life, and user-entered exponent p; use p=3 for ball bearings and p=10/3 for roller bearings.
Bearing viscosity ratio kappa
Calculates kappa as operating kinematic viscosity divided by reference kinematic viscosity.
Friction force
Calculates friction force from normal force and friction coefficient.
Friction power loss
Calculates power dissipated by friction for a force and sliding speed.
Braking energy
Calculates kinetic energy that must be dissipated during braking.
Braking distance from friction
Estimates braking distance with constant friction coefficient and gravity.
Braking time from deceleration
Calculates braking time from initial velocity and constant deceleration.
Brake torque
Calculates brake torque from braking force and effective radius.
Simple brake friction torque
Calculates brake friction torque from friction coefficient, normal force, and effective radius.
Simple clutch torque capacity
Estimates clutch torque capacity from friction, clamp force, mean radius, and surface count.
Belt drive ratio
Calculates ideal ratio from two pulley diameters.
Pulley output rpm
Calculates output rpm from input rpm and pulley diameters.
Belt speed
Calculates belt linear speed from pulley diameter and rpm.
Open belt drive length
Estimates belt length for an open belt drive.
Belt tangential force
Calculates tangential force from power and belt speed.
Chain drive ratio
Calculates ideal ratio from sprocket tooth counts.
Chain speed
Calculates chain speed from pitch, sprocket teeth, and rpm.
Roller chain length
Calculates theoretical roller chain length and the nearest even pitch count.
Belt tension force ratio and power
Calculates tension force ratio, tight-side tension force, and transmitted power from the capstan equation.
Gear ratio
Calculates ideal gear ratio from driven and driver tooth counts.
Gear output rpm
Calculates output speed from input speed and gear ratio.
Gear output torque
Calculates idealized output torque from input torque, gear ratio, and efficiency.
Gear module
Calculates gear module from pitch diameter and tooth count.
Gear pitch diameter
Calculates pitch diameter from module and tooth count.
Gear center distance
Calculates center distance from two pitch diameters.
External gear center distance
Calculates center distance from module and tooth counts for two external gears.
Gear base circle diameter
Calculates base circle diameter from pitch diameter and pressure angle.
Gear train output speed
Calculates output speed from input speed and gear ratio.
Gear tangential force
Calculates tangential force from torque and pitch diameter.
Spur gear mesh forces
Calculates tangential, radial, and normal mesh forces from torque, pitch diameter, and pressure angle.
Spur gear radial force
Calculates radial force from tangential force and pressure angle.
Helical gear axial force
Calculates axial force from tangential force and helix angle.
Multi-stage gear ratio
Multiplies the ratios of consecutive gear stages.
Multi-stage gear efficiency
Multiplies the efficiencies of consecutive gear stages.
Spur gear Lewis bending stress
Calculates simplified tooth bending stress using a user-entered Lewis factor.
Simplified spur gear contact stress
Calculates simplified, non-code contact stress with a user-entered elastic coefficient.
Bevel gear pitch angles
Calculates bevel gear pitch angles for 90-degree intersecting shafts.
Simple worm gear efficiency
Calculates worm-driven worm gear efficiency and self-locking flag.
Dimension tolerance
Calculates tolerance width and mean dimension from upper and lower limit dimensions.
Clearance fit min and max
Calculates minimum and maximum clearance from hole and shaft limit dimensions.
Interference fit min and max
Calculates minimum and maximum interference from hole and shaft limit dimensions.
Measurement percent error
Calculates absolute percent error relative to a reference value.
Tolerance midpoint
Calculates the midpoint from upper and lower limit dimensions.
Clearance from hole and shaft diameter
Calculates clearance as the difference between hole diameter and shaft diameter.
Cutting speed
Calculates cutting speed from diameter and spindle rpm.
Spindle rpm from cutting speed
Calculates spindle rpm from cutting speed and diameter.
Milling feed rate
Calculates milling feed rate from feed per tooth, tooth count, and rpm.
Turning feed rate
Calculates turning feed rate from feed per revolution and rpm.
Drilling time
Calculates drilling time from drilling depth and feed rate.
Turning time
Calculates turning time from cutting length and feed rate.
Thread pitch from TPI
Converts threads per inch to metric pitch.
TPI from thread pitch
Converts metric pitch to threads per inch.
Simple metric tap drill size
Estimates tap drill diameter as nominal diameter minus pitch.
Cylindrical stock volume conservation in upsetting
Calculates idealized solid cylindrical stock geometry under constant-volume upsetting.
Preliminary one-blow upsetting geometry screening
Checks L/d, D/d, and e/d proportions against FIA Rule 1, Rule 2, or Rule 3.
Normal stress
Calculates normal stress from axial force and cross-sectional area.
Shear stress
Calculates shear stress from force and cross-sectional area.
Strain
Calculates engineering strain from change in length and original length.
Hooke's law stress
Calculates elastic stress from Young's modulus and strain.
Axial elongation
Calculates axial elongation from force, length, area and Young's modulus.
Factor of safety
Calculates the safety factor as allowable stress divided by actual stress.
Allowable stress from yield strength
Calculates allowable stress as yield strength divided by safety factor.
Required area from force and stress
Calculates required area from force and allowable stress.
Required rod diameter in tension
Calculates minimum solid rod diameter from force and allowable stress.
Bearing pressure
Calculates average bearing pressure from force and projected area.
Pin single shear stress
Calculates average pin shear stress for one shear plane.
Pin double shear stress
Calculates average pin shear stress for two shear planes.
Pin bearing pressure
Calculates average pin bearing pressure from force, diameter, and member thickness.
Thin-wall pressure vessel stresses
Calculates hoop and longitudinal stress in a thin-walled closed cylinder from internal pressure, radius and wall thickness.
Bending stress
Calculates bending stress from bending moment and section modulus.
Torsional shear stress in solid shaft
Calculates maximum torsional shear stress in a solid circular shaft.
Torsional shear stress in hollow shaft
Calculates maximum torsional shear stress in a hollow circular shaft.
Shaft angle of twist
Calculates shaft twist angle from torque, length, shear modulus and polar moment.
Von Mises plane stress
Calculates von Mises equivalent stress for plane stress.
Tresca plane stress
Calculates Tresca equivalent stress for plane stress with the third principal stress set to zero.
Euler buckling load
Calculates ideal Euler critical buckling load.
Slenderness ratio
Calculates slenderness as effective length divided by radius of gyration.
Axial strain energy
Calculates strain energy for an axially loaded member.
Plane stress transformation
Transforms sigma_x, sigma_y, and tau_xy for a specified axis angle theta.
Principal stresses 2D
Calculates the two principal stresses, maximum in-plane shear, and principal-axis direction for a plane stress state.
Maximum in-plane shear stress
Calculates the maximum in-plane shear stress of a plane stress state.
Principal directions 2D
Finds the two perpendicular principal directions of a plane stress state.
Basic stress-intensity factor
Calculates K = Y * sigma * sqrt(pi * a) with a user-provided Y.
Critical crack length
Finds the crack length at which K reaches the specified KIC.
Margin against KIC
Calculates KIC/K as a simple margin against fracture toughness.
Fillet weld throat thickness
Calculates simplified fillet weld throat thickness from leg size.
Fillet weld throat area
Calculates effective fillet weld throat area from leg size and weld length.
Weld shear stress
Calculates average weld shear stress from force and throat area.
Required weld length for shear
Estimates required fillet weld length from force, allowable shear stress, and leg size.
Weld factor of safety
Calculates factor of safety as allowable stress divided by actual stress.
Weld line load
Calculates average line load as force divided by weld length.
Rectangular weld group line properties
Calculates length, Ix/Iy line moments, and J for a closed rectangular weld group.
Eccentric rectangular weld group
Estimates the largest corner line load in a closed rectangular weld group and the required throat.
Force from g-load
Calculates inertial force from mass, g-load factor, and gravity.
G-load from acceleration
Calculates g-load factor as acceleration divided by gravity.
Material wave speed in a rod
Estimates longitudinal wave speed from Young's modulus and density.
Explicit time step estimate
Estimates time step from characteristic length and wave speed.
Critical timestep from element size
Estimates critical timestep from element size and wave speed.
Element mass from density and volume
Calculates element mass from density and volume.
FEM kinetic energy
Calculates kinetic energy from mass and velocity.
Energy ratio check
Calculates the ratio of two energy values for a quick result check.
Explicit stable time step from wave speed
Calculates a simplified stable time step as characteristic length divided by wave speed.
Wave speed from elastic modulus and density
CAE helper for estimating wave speed; it does not validate the model or mesh.
Explicit time step from element length
CAE helper for estimating an explicit time step from characteristic length; it does not validate model stability.
Explicit time step from material
CAE helper combining element length and material wave speed; it does not validate solver settings.
Simple mass scaling factor
CAE helper showing a mass-change indicator for a target time step; it is not an automatic mass-scaling recommendation.
Element aspect ratio
CAE helper for a simple mesh metric; it does not judge correctness or overall model quality.
Mesh element count for a box
CAE helper for rough element counting in a box-shaped volume; it does not validate the mesh.
Simple strain rate
CAE helper for converting strain change to rate; it does not validate the load history.
Engineering to true strain
CAE helper for strain conversion; it does not validate the material curve.
Engineering to true stress
CAE helper for stress conversion; it does not validate material data.
Kinetic to internal energy ratio
CAE helper for monitoring an energy share; it does not validate the model energy balance.
Hourglass to internal energy ratio
CAE helper for monitoring hourglass energy; it does not validate element quality or the model.
Plastic work density
CAE helper for a simple plastic work per volume estimate; it does not validate the material model.
ETAN from bilinear segment
Calculates hardening modulus H and tangent modulus ETAN from two material-curve points or from an E-H pair.
Cowper-Symonds dynamic yield
Calculates the dynamic increase factor and scaled yield stress from C and p parameters.
Rectangular second moment of area
Calculates Ix and Iy for a rectangular section.
Circular second moment of area
Calculates second moment of area for a solid circular section.
Hollow circular second moment of area
Calculates second moment of area for a hollow circular section.
Rectangular section modulus
Calculates rectangular section modulus about the x-axis.
Circular section modulus
Calculates section modulus for a solid circular section.
Parallel axis theorem for area
Transfers a centroidal second moment of area to a parallel axis.
Principal area moments
Calculates principal second moments of area and the principal axis angle from Ix, Iy, and Ixy.
RHS/SHS section properties
Calculates area, centroid, second moments, directional section moduli, and mass per length for an RHS or SHS profile.
CHS and pipe section properties
Calculates area, second moments, section moduli, and mass per length for a pipe or CHS from outer diameter and wall thickness.
Lipped channel section properties
Calculates geometric properties and mass per length for a lipped channel from five non-overlapping rectangles.
I-section properties
Calculates area, centroid, and area moments for an I-section modeled with rectangles.
Channel section properties
Calculates channel-section properties from a rectangular web and two flanges.
Angle section properties
Calculates angle-section properties as two rectangles with the overlapped corner subtracted.
T-section properties
Calculates T-section properties from a rectangular flange and web.
Z-section properties
Calculates Z-section properties with flanges placed on opposite sides of the web.
Advanced bolted-joint analysis
Analysis of a single bolt or identical parallel bolts in a preloaded joint, including stiffnesses, separation, stresses and Goodman utilization.
Full beam solver
Euler-Bernoulli finite element beam solver for supports, point loads and distributed loads.
2D frame solver
Linear Euler-Bernoulli plane-frame FEM solver with three-DOF nodes, supports, nodal loads and local member distributed loads.
Lifting lug analysis
Simplified analysis of a flat lifting lug with net tension, hole bearing, shear-out, base section and pin checks.
Profile and section comparator
Active tool for comparing profiles from geometry, Section Builder imports or manually entered properties with a shared load case, mass, W, My, Mallow, Fallow and mass-normalized indicators.
Bolt group analysis
Elastic shear and tension distribution in an arbitrary bolt group with optional utilization checks from user-provided capacities.
Interactive section builder
Build composite sections from rectangles, circles, polygons and voids, then compute geometric section properties.
2D truss solver
Linear finite element solver for planar trusses with supports, nodal loads, reactions, displacements and axial member forces.
Mohr's circle with visualization
2D stress transformation, principal stresses, maximum shear and a calculation-driven Mohr-circle visualization.
Advanced LEFM fracture assessment
LEFM analysis with four documented geometries, KIC criterion and inverse allowable-stress and crack-length solutions.
FEA mesh convergence analyzer
Multi-series analysis of result changes, trends, observed order and asymptote over successive FEA meshes.