Science cluster

Materials & Structural Engineering Calculators

Analyze stress, strain, beams, fasteners, and mechanical advantage, and size structural and manufactured parts.

Top calculators

A short starting set for the most common materials & structural engineering calculators workflows.

Bolt Shear Capacity Calculator (AISC-Style) | Nominal & Design Strength

Calculate nominal bolt shear strength Vn and design shear strength φVn from bolt diameter, ultimate tensile strength, number of shear planes, and whether threads are in the shear plane. Includes formulas, assumptions, a worked example, practical design notes, and an optional bolt-alignment mini-game.

Bolt Shear Capacity Calculator (AISC-Style) | Nominal & Design Strength science calculator 0.6 factor and 0.78 thread reduction 1 MPa = 1 N AISC

Conveyor Belt Tension Calculator - Effective Tension & Drive Power

Estimate conveyor belt effective tension, tight-side force, and drive power from belt length, speed, load rate, belt weight, lift height, and wrap angle.

conveyor belt tension belt conveyor calculator effective tension motor power material handling

Concrete Beam Shear Capacity Calculator (ACI 318 Vc + Vs)

Work out reinforced concrete beam shear capacity to ACI 318-19: concrete term Vc, stirrup term Vs, nominal Vn and design strength phi-Vn, plus spacing checks.

Concrete Beam Shear Capacity Calculator (ACI 318 Vc + Vs) science calculator ACI ACI 318 Vc + Vs Eurocode 2

3D Print Filament Length, Mass, and Spool Usage Calculator

Estimate 3D printing filament length, mass, and the share of a spool required from model volume, material density, and filament diameter.

3d printing filament filament length filament weight additive manufacturing ABS

Alloy Hardness Converter: Brinell, Vickers, Rockwell B and C

Convert metal hardness between Brinell, Vickers, Rockwell B, and Rockwell C, see all scales at once on an aligned gauge, and check the ASTM E140 caveats.

alloy hardness converter hardness conversion brinell to rockwell vickers to brinell HRB HRC BHN HV

Excavator Production Rate Calculator - Loose, Bank & Tonnes per Hour

Calculate excavator loose volume, bank volume, and hourly tonnage from bucket capacity, cycle time, job efficiency, swell factor, and material density.

Excavator Production Rate Calculator - Loose, Bank & Tonnes per Hour science calculator 1 + swell Peurifoy et al. and methods

Tractor PTO Horsepower Calculator - Engine HP, Torque and RPM

Convert engine HP to PTO horsepower, size a tractor for a target PTO load, and get PTO shaft torque at 540 or 1000 rpm from hp = torque x rpm / 5252.

tractor PTO horsepower calculator engine HP to PTO 88% efficiency is η = 0.88 ASABE CVT

Metric Rebar Development Length Calculator for Tension Anchorage

Estimate straight rebar tension development length from bar diameter, steel and concrete strength, top-bar, and epoxy using the simplified ACI 318-19 method.

Metric Rebar Development Length Calculator for Tension Anchorage science calculator ACI MPa bar

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3D Print Filament Length, Mass, and Spool Usage Calculator

Estimate 3D printing filament length, mass, and the share of a spool required from model volume, material density, and filament diameter.

3d printing filament filament length filament weight additive manufacturing ABS

3D Printed Part Porosity Strength & Failure Risk Calculator

Estimate how porosity, infill, and build orientation change the tensile strength of a 3D printed part and compare the result with the strength you need.

3d printed part strength calculator porosity effect additive manufacturing risk ABS MPa

Accessible Ramp Retrofit Prioritization Planner | Estimate ramp length, crew-days, and funding gap

Plan accessible ramp retrofits by estimating ramp length, crew-days, volunteer hours, project cost, and budget gap for each entrance.

accessible ramp retrofit planner ramp length estimate crew-days volunteer hours accessibility budget

Alloy Hardness Converter: Brinell, Vickers, Rockwell B and C

Convert metal hardness between Brinell, Vickers, Rockwell B, and Rockwell C, see all scales at once on an aligned gauge, and check the ASTM E140 caveats.

alloy hardness converter hardness conversion brinell to rockwell vickers to brinell HRB HRC BHN HV

Anchor Bolt Pullout Capacity Calculator | Concrete

Estimate nominal and design pullout strength for a cast-in-place anchor bolt using diameter, embedment, concrete strength, and strength reduction factor.

Anchor Bolt Pullout Capacity Calculator | Concrete science calculator ACI Anchoring to Concrete anchor

Archard Wear Rate Calculator | Estimate Sliding Wear Volume from Load and Distance

Estimate wear volume and wear rate for sliding contacts with the Archard equation using wear coefficient, normal load, sliding distance, and hardness. Includes input guidance, a worked example, limitations, and a mini-game.

Archard wear rate calculator sliding wear volume sliding contact tribology wear coefficient wear prediction

Blacksmith Forge Heat Treatment Calculator - Steel Quenching and Tempering

Calculate optimal heat treatment temperatures, soak times, and quenching parameters for different steel alloys used in blacksmithing and bladesmithing.

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Blown Glass Annealing Schedule Calculator | Soak and Cooling Estimates

Estimate a kiln annealing schedule for blown glass, including soak time and cooling stages from thickness, annealing point, strain point, and CTE.

glassblowing annealing calculator glass stress relief cooling schedule borosilicate soda lime glass

Bolt Shear Capacity Calculator (AISC-Style) | Nominal & Design Strength

Calculate nominal bolt shear strength Vn and design shear strength φVn from bolt diameter, ultimate tensile strength, number of shear planes, and whether threads are in the shear plane. Includes formulas, assumptions, a worked example, practical design notes, and an optional bolt-alignment mini-game.

Bolt Shear Capacity Calculator (AISC-Style) | Nominal & Design Strength science calculator 0.6 factor and 0.78 thread reduction 1 MPa = 1 N AISC

Chromatography Retention Factor Calculator | k' from Retention and Dead Time

Calculate chromatography retention factor (k') from retention and dead time to gauge how strongly an analyte is held on the column.

chromatography retention factor calculator k prime separation science TLC analyte

Composite Fiber Volume Fraction Calculator from Mass and Density

Estimate composite fiber volume fraction from fiber and resin masses plus densities, with exact volume calculations, worked examples, and laminate guidance.

composite fiber volume fraction calculator materials science calculations cm³ composite

Concrete Beam Shear Capacity Calculator (ACI 318 Vc + Vs)

Work out reinforced concrete beam shear capacity to ACI 318-19: concrete term Vc, stirrup term Vs, nominal Vn and design strength phi-Vn, plus spacing checks.

Concrete Beam Shear Capacity Calculator (ACI 318 Vc + Vs) science calculator ACI ACI 318 Vc + Vs Eurocode 2

Concrete Formwork Pressure Calculator - Lateral Load Estimate

Estimate fresh concrete lateral pressure on wall and column formwork from pour height, unit weight, placement rate, temperature, and slump. Simplified educational model.

Concrete Formwork Pressure Calculator - Lateral Load Estimate science calculator ACI CIRIA R t s

Conveyor Belt Tension Calculator - Effective Tension & Drive Power

Estimate conveyor belt effective tension, tight-side force, and drive power from belt length, speed, load rate, belt weight, lift height, and wrap angle.

conveyor belt tension belt conveyor calculator effective tension motor power material handling

Crane Lift Capacity Calculator | Moment, Radius, and Outrigger Check

Estimate crane lift moment from load weight and radius, compare it with rated capacity, and get a rough front outrigger reaction for early lift planning.

Crane Lift Capacity Calculator | Moment, Radius, and Outrigger Check science calculator ASME CFR Cranes and Derricks in Construction

Crowd Density Safety Calculator | Standing Density & Exits

Estimate standing density, seating impact, target capacity, exit load, and simplified clearance time for mixed crowd layouts.

crowd density calculator event safety planner people per square meter exit load calculator venue capacity planning

Excavator Production Rate Calculator - Loose, Bank & Tonnes per Hour

Calculate excavator loose volume, bank volume, and hourly tonnage from bucket capacity, cycle time, job efficiency, swell factor, and material density.

Excavator Production Rate Calculator - Loose, Bank & Tonnes per Hour science calculator 1 + swell Peurifoy et al. and methods

Laundry Detergent Dosage Calculator | mL per Load, HE and Hard Water

Work out how much laundry detergent a load needs from its weight, soil level, USGS water hardness class, washer type and the concentration printed on the bottle.

laundry detergent dosage calculator how much detergent per load HE washer detergent hard water laundry detergent millilitres per kilogram

Lever Mechanical Advantage Calculator | Effort Force from Arm Lengths

Calculate a lever's mechanical advantage from the load force, load arm, and effort arm, and estimate the effort needed to balance the lever.

lever mechanical advantage calculator lever physics effort force advantage arm

Metric Rebar Development Length Calculator for Tension Anchorage

Estimate straight rebar tension development length from bar diameter, steel and concrete strength, top-bar, and epoxy using the simplified ACI 318-19 method.

Metric Rebar Development Length Calculator for Tension Anchorage science calculator ACI MPa bar

Occupational Heat Work-Rest Cycle Planner | Estimated WBGT Schedule

Estimate site WBGT from temperature, humidity, radiant load, and air movement, then plan crew work-rest cycles and hourly water needs for occupational heat exposure.

heat stress calculator work rest cycle planner WBGT estimate occupational health CSV

Rebar Spacing Calculator for Center-to-Center Reinforcement Layouts

Estimate center-to-center rebar spacing from bar diameter and required steel area per meter for slabs, walls, beams, and footings.

Rebar Spacing Calculator for Center-to-Center Reinforcement Layouts science calculator aggressive area bar

Scaffold Bay Live-Load Limit Calculator | Leg and Plank Check

Calculate a rectangular scaffold bay’s allowable uniformly distributed live load from four-leg capacity, simultaneously loaded levels, bay area, and platform rating.

Scaffold Bay Live-Load Limit Calculator | Leg and Plank Check science calculator NZS OSHA P leg × N leg

Shallow Foundation Bearing Capacity Calculator (Terzaghi to Vesic)

Ultimate and allowable bearing capacity of spread footings using FHWA and AASHTO factors, with Terzaghi, Meyerhof, Hansen and Vesic compared side by side.

Shallow Foundation Bearing Capacity Calculator (Terzaghi to Vesic) science calculator AASHTO CSV FHWA

Thermal Stress Calculator for Fully Restrained Members | Solve σ, E, α, or ΔT

Estimate thermal stress in a fully restrained member, or solve for Young’s modulus, thermal expansion coefficient, or temperature change with σ = E·α·ΔT.

thermal stress calculator fully restrained member Young's modulus coefficient of thermal expansion temperature change

Torque Calculator - Force, Lever Arm and Angle

Calculate torque from force, lever arm length, and angle in degrees. Enter F, r, and θ to get torque in newton‑meters, with formula, worked examples, and eng...

torque calculator lever arm rotational mechanics physics angle

Tractor PTO Horsepower Calculator - Engine HP, Torque and RPM

Convert engine HP to PTO horsepower, size a tractor for a target PTO load, and get PTO shaft torque at 540 or 1000 rpm from hp = torque x rpm / 5252.

tractor PTO horsepower calculator engine HP to PTO 88% efficiency is η = 0.88 ASABE CVT

Wheel and Axle Mechanical Advantage & Effort Force Calculator

Calculate ideal wheel-and-axle mechanical advantage from wheel and axle radii, then find the rim effort force required for a specified axle load.

wheel and axle calculator mechanical advantage simple machine advantage and axle