Axial Stress Calculator
Calculate axial stress with transparent engineering inputs and the displayed formula.
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Mechanical Design
Screen stress, deformation, torsion, beam behavior, column stability, gears, springs and rotating-power relationships without presenting simplified results as final component designs.
Tool index
Only resources currently allowed by the Part 1 verification gate, Part 2 source policy and rollout flags appear here.
Required Area from Axial Stress Calculator
Calculate required area from axial stress with transparent engineering inputs and the displayed formula.
Open calculator →Axial Strain Calculator
Calculate axial strain with transparent engineering inputs and the displayed formula.
Open calculator →Young's Modulus Calculator
Calculate young's modulus with transparent engineering inputs and the displayed formula.
Open calculator →Axial Deformation Calculator
Calculate axial deformation with transparent engineering inputs and the displayed formula.
Open calculator →Solid Shaft Torsional Stress Calculator
Calculate solid shaft torsional stress with transparent engineering inputs and the displayed formula.
Open calculator →Solid Shaft Diameter Calculator
Calculate solid shaft diameter with transparent engineering inputs and the displayed formula.
Open calculator →Shaft Angle of Twist Calculator
Calculate shaft angle of twist with transparent engineering inputs and the displayed formula.
Open calculator →Solid Shaft Polar Moment Calculator
Calculate solid shaft polar moment with transparent engineering inputs and the displayed formula.
Open calculator →Torsional Rigidity Calculator
Calculate torsional rigidity with transparent engineering inputs and the displayed formula.
Open calculator →Bending Stress Calculator
Calculate bending stress with transparent engineering inputs and the displayed formula.
Open calculator →Rectangular Section Inertia Calculator
Calculate rectangular section inertia with transparent engineering inputs and the displayed formula.
Open calculator →Rectangular Section Modulus Calculator
Calculate rectangular section modulus with transparent engineering inputs and the displayed formula.
Open calculator →Circular Section Inertia Calculator
Calculate circular section inertia with transparent engineering inputs and the displayed formula.
Open calculator →Circular Section Modulus Calculator
Calculate circular section modulus with transparent engineering inputs and the displayed formula.
Open calculator →Simply Supported Beam Center Deflection Calculator
Calculate simply supported beam center deflection with transparent engineering inputs and the displayed formula.
Open calculator →Cantilever End Deflection Calculator
Calculate cantilever end deflection with transparent engineering inputs and the displayed formula.
Open calculator →Euler Column Buckling Load Calculator
Calculate euler column buckling load with transparent engineering inputs and the displayed formula.
Open calculator →Column Slenderness Ratio Calculator
Calculate column slenderness ratio with transparent engineering inputs and the displayed formula.
Open calculator →Radius of Gyration Calculator
Calculate radius of gyration with transparent engineering inputs and the displayed formula.
Open calculator →Shaft Torque from Power and RPM Calculator
Calculate shaft torque from power and rpm with transparent engineering inputs and the displayed formula.
Open calculator →Mechanical Power from Torque and RPM Calculator
Calculate mechanical power from torque and rpm with transparent engineering inputs and the displayed formula.
Open calculator →Gear Ratio Calculator
Calculate gear ratio with transparent engineering inputs and the displayed formula.
Open calculator →Gear Output Speed Calculator
Calculate gear output speed with transparent engineering inputs and the displayed formula.
Open calculator →Spring Energy Calculator
Calculate spring energy with transparent engineering inputs and the displayed formula.
Open calculator →Learning path
- Define loads, geometry and material properties with traceable units.
- Use axial/bending/torsion screening relationships for the idealized load case.
- Check deformation and stiffness as well as stress.
- For columns, bearings, fatigue or rotating systems, confirm the method-specific applicability limits.
- Apply governing design factors, load spectra, stress concentrations and standards before final design.
Glossary
- Stress
- Internal force intensity over a defined area.
- Strain
- Dimensionless deformation relative to an original dimension.
- Young's modulus
- The elastic proportionality between normal stress and normal strain within the linear-elastic range.
- Second moment of area
- A geometric section property governing bending stiffness about a selected axis.
- Section modulus
- A geometric property relating bending moment to extreme-fiber bending stress for the selected axis.
- Polar moment
- A geometric measure used in torsion relationships for circular shafts.
- Slenderness ratio
- Effective column length divided by radius of gyration.
- Factor of safety
- A ratio used to compare an allowable or failure measure with an applied demand under a defined design method.
Worked examples
Examples are calculated from PROFENG's own tool defaults. Confirmed-source examples may be indexable; examples whose exact formula source remains pending stay noindex.
Axial Stress Calculator worked example
(100000)/((1000)*1e-6)/1e6 = 100 MPa
Open worked example →Required Area from Axial Stress Calculator worked example
(100000)/((100)*1e6)*1e6 = 1,000 mm²
Open worked example →Axial Strain Calculator worked example
(1)/(1000) = 0.001
Open worked example →Young's Modulus Calculator worked example
(200)/(0.001)/1000 = 200 GPa
Open worked example →Axial Deformation Calculator worked example
(100000)*(2)/(((1000)*1e-6)*((200)*1e9))*1000 = 1 mm
Open worked example →Solid Shaft Torsional Stress Calculator worked example
16*(1000)/(Math.PI*Math.pow((50)/1000,3))/1e6 = 40.744 MPa
Open worked example →Solid Shaft Diameter Calculator worked example
Math.cbrt(16*(1000)/(Math.PI*(60)*1e6))*1000 = 43.948 mm
Open worked example →Shaft Angle of Twist Calculator worked example
(1000)*(2)/((Math.PI*Math.pow((50)/1000,4)/32)*((80)*1e9))*180/Math.PI = 2.334 deg
Open worked example →Solid Shaft Polar Moment Calculator worked example
Math.PI*Math.pow((50),4)/32 = 613,592 mm⁴
Open worked example →Torsional Rigidity Calculator worked example
(80)*1e9*(Math.PI*Math.pow((50)/1000,4)/32) = 49,087.385 N·m²
Open worked example →Bending Stress Calculator worked example
(10)*1000*((50)/1000)/((8000000)*1e-12)/1e6 = 62.5 MPa
Open worked example →Rectangular Section Inertia Calculator worked example
(100)*Math.pow((200),3)/12 = 7e+7 mm⁴
Open worked example →Rectangular Section Modulus Calculator worked example
(100)*(200)*(200)/6 = 666,667 mm³
Open worked example →Circular Section Inertia Calculator worked example
Math.PI*Math.pow((100),4)/64 = 4,908,739 mm⁴
Open worked example →Circular Section Modulus Calculator worked example
Math.PI*Math.pow((100),3)/32 = 98,175 mm³
Open worked example →