Solve torsion values for beams and shafts fast. Review formulas, inputs, and output tables clearly. Export clean reports for design checks and documentation tasks.
| Item | Example Value | Unit | Meaning |
|---|---|---|---|
| Force | 2500 | N | Applied tangential load |
| Lever Arm | 0.45 | m | Distance from center |
| Beam Length | 2.4 | m | Loaded member length |
| Shear Modulus | 79 | GPa | Typical steel value |
| Outer Diameter | 90 | mm | Outside section size |
| Inner Diameter | 0 | mm | Solid section example |
| Torque Result | 1125 | N·m | Force × arm result |
| Twist Result | 0.61 | deg | Approximate angular twist |
Torque from force: T = F × r
Torque from power: T = P / ω, where ω = 2πN / 60
Solid circular polar moment: J = πd⁴ / 32
Hollow circular polar moment: J = π(Do⁴ - Di⁴) / 32
Maximum shear stress: τ = Tc / J
Angle of twist: θ = TL / GJ
Torsional stiffness: k = GJ / L
Allowable torque: Tallow = τallow J / c
Enter any direct torque value if you already know it. If not, enter force and lever arm, or power and rpm.
Select the section type. Add outer diameter for a solid member. Add both diameters for a hollow member.
Enter beam length and shear modulus to calculate angular twist and torsional stiffness.
Enter allowable shear stress to estimate allowable torque and factor of safety.
Press the calculate button. The result box appears above the form. Use the export buttons to save the output.
Beam torque affects rotation, shear stress, and service life. Designers check it early. Small errors can produce large twist values. That can damage alignment, couplings, and supports. A reliable calculator saves time during concept work and final checks.
This tool handles common torsion tasks in one place. You can estimate torque from force and lever arm. You can also derive torque from power and rpm. That helps when motor data is known but force is not. The calculator also evaluates polar moment, maximum shear stress, twist angle, torsional stiffness, and allowable torque.
Round members are common in engineering. Solid shafts resist torque well. Hollow shafts save weight and still provide good stiffness. This page supports both section types. You may also enter a custom polar moment value. That helps with advanced workflows and known catalog data.
Torque alone is not enough for design. Stress shows whether the material stays within limits. Twist shows whether the member rotates too much in service. Stiffness helps compare section efficiency. Factor of safety adds a quick design check. Together, these outputs support better decisions.
Use this calculator for shafts, rotating beams, drive members, machine elements, and mechanical transmission layouts. It is useful for classroom problems, maintenance reviews, and early design studies. It also helps when comparing solid and hollow alternatives. Exported results make project records easier to keep.
Engineering calculations depend on clean inputs. Confirm the unit system before you submit. Check diameter values carefully. Hollow members need the inner diameter smaller than the outer diameter. Make sure shear modulus matches the chosen material. Review the final stress and twist values before accepting the design.
Beam torque is the twisting moment applied to a member. It causes rotational deformation and shear stress. In practice, it is often checked for shafts, round beams, and rotating machine parts.
Yes. If power and rotational speed are known, the calculator converts them into torque. This is useful for motor-driven systems, gear inputs, and machine design work.
Polar moment of inertia measures torsional resistance for a section. A higher value usually means lower shear stress and less angular twist under the same torque.
This version supports solid circular and hollow circular sections directly. You can also enter a custom polar moment value when your section property is already known.
The calculator accepts multiple common engineering units. It converts them into a consistent base system internally, then reports results in practical output units.
It compares allowable shear stress to calculated shear stress. A higher value means more design margin. It is only shown when allowable stress and actual stress are both available.
That usually means one input set does not match the other. Recheck force, lever arm, power, rpm, and unit selections. The tool warns you when the difference is significant.
Yes. After calculation, you can download the result table as CSV or PDF. This helps with reports, classroom submissions, design logs, and client documentation.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.