Skip to content
K Knidox Search…

Engineering

Mechanics of materials and machines — beam deflection, stress, torque, and gear ratios.

6 tools

Beam Deflection Calculator

Maximum deflection of a beam under a central or end point load.

Stress and Strain Calculator

Axial stress, strain, and elongation from force and dimensions.

Young’s Modulus Calculator

Elastic modulus from stress and strain, or axial deformation.

Torque to Power Calculator

Convert between torque, rotational speed (RPM), and power.

Gear Ratio Calculator

Gear ratio with output speed and torque from tooth counts.

Factor of Safety Calculator

Factor of safety from material strength and applied stress.

About engineering tools

The core sums of mechanical and structural engineering — beam deflection, stress and strain, Young’s modulus, torque and power, gear ratios, and factor of safety. Each tool shows the formula and works the numbers out, for statics, machine-design, and mechanics-of-materials coursework.

When to use these tools

Common engineering tasks and the tool that handles each one.

Frequently asked questions

Common questions about engineering — the concepts behind the tools above.

What is the difference between stress and strain?
Stress is the internal force carried per unit area, measured in pascals (N/m²), while strain is the resulting deformation expressed as the change in length divided by the original length, so it is a dimensionless ratio. In short, stress is the cause and strain is the effect.
What does Young’s modulus tell you about a material?
Young’s modulus is the ratio of stress to strain in the elastic region, so it measures stiffness — how much a material resists being stretched or compressed. A high value like steel’s (~200 GPa) means the material barely deforms under load, while rubber has a very low modulus.
What is a factor of safety and why does it matter?
The factor of safety is the ratio of a material’s strength (or a structure’s failure load) to the actual load it is expected to carry. A factor above 1 provides a margin for uncertainties in loads, materials and analysis; typical values range from about 1.5 to 4 depending on the application and consequences of failure.
How are torque and power related in a rotating machine?
Power equals torque multiplied by angular speed, so for the same power a shaft can deliver high torque at low speed or low torque at high speed. Using SI units, power (watts) = torque (N·m) × angular velocity (rad/s), which is why gearboxes trade speed for torque.

Other subjects

Grades Writing Study Math