Mechanical Calculator

The Hagen-Poiseuille equation, also known as Poiseuille’s law, describes laminar flow in a cylindrical pipe. It gives the rate of flow (Q) of a viscous, incompressible fluid through a pipe of constant cross-sectional area and length under a constant pressure gradient (ΔP). This equation shows that the flow rate is directly proportional to the fourth […]

Bending moment is a measure of the internal bending forces within a structural element, such as a beam or a column, subjected to an external load. It quantifies the tendency of a beam to bend or flex under the applied load. The bending moment at any point along a beam is the algebraic sum of

The torsion formula for circular shafts relates the shear stress (τ) experienced by a shaft to the applied torque (T), the radial distance from the center of the shaft (r), and the polar moment of inertia (J) of the cross-sectional area of the shaft. This formula is fundamental for analyzing the behavior of circular shafts

Statically indeterminate torsion refers to a situation in structural mechanics where a component or structure is subjected to torsional loads (twisting forces) and the resulting internal forces cannot be determined solely by applying equilibrium equations. Where: Δθ is the angle of twist, T is the applied torque, L is the length of the shaft, G

The power transmitted by a shaft refers to the rate at which energy is transferred through the shaft due to rotational motion. The formula to calculate the power transmitted by a shaft is given by: Where: P is the power transmitted, N is the rotational speed of the shaft,  T is the torque applied to

Torsional rigidity, also known as torsional stiffness or torsional resistance, refers to a measure of a structure’s resistance to torsional deformation when subjected to an applied torque. It represents the degree to which a structural member can resist twisting. The torsional rigidity of a structure can be defined mathematically as, Where: K is the torsional

Torsion is a mechanical loading in which a structural element (such as a shaft or beam) is subjected to twisting forces about its longitudinal axis. This twisting force creates shear stress within the material, causing it to deform angularly. Torsion is commonly encountered in applications involving rotating machinery, such as shafts in motors or turbines.

The period of SHM depends only on the properties of the system, such as the mass (m) and the stiffness of the spring (k) in a mass-spring system. The formula for the period (T) of SHM is given by: Where: T is the period of the oscillation, m is the mass of the object undergoing

The velocity of sound is the speed at which sound waves propagate through a medium, such as air, water, or a solid material. It depends on the properties of the medium, including its density and elasticity. The formula for the velocity of sound in a medium is given by, Where: v is the velocity of

Specific Heat is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius (or Kelvin). It represents the substance’s thermal inertia or resistance to temperature change. Specific heat capacity is measured in joules per kilogram per degree Celsius (J/kg°C) or joules per kilogram per