Aerospace Calculator

Axial deformation is calculated using Hooke’s Law, which relates stress (σ) to strain (ε) for elastic deformation. The formula for axial deformation is given by: ​ where: δaxial​ = Axial deformation (in meters, m) F = Applied axial force or load (in newtons, N) L = Original length of the structural member (in meters, m)

The cross-sectional area (A) represents the area enclosed by the shape of the structural member, typically perpendicular to the axis of bending or rotation. The SI units for the radius of gyration formula are meters (m) for length measurements (both r and any dimensions involved in calculating I and A). It’s essential to ensure that

The radius of gyration (r) is a measure of how the mass or area of a structural member is distributed relative to its centroid or axis of rotation. It is commonly used in structural engineering to characterize the bending behavior of columns and beams For structural purposes, the radius of gyration is calculated based on

The slenderness ratio (λ) is a dimensionless parameter used in structural engineering to evaluate the stability of slender columns under compressive loads. It is calculated based on the column’s effective length (Le​) and its radius of gyration (r). ​​ where: λ = Slenderness ratio (dimensionless) Le​ = Effective length of the column (in meters, m)

Thermal strain refers to the deformation or change in dimensions of a material due to a change in temperature. It is calculated based on the material’s coefficient of thermal expansion (α) and the change in temperature (ΔT). Thermal strain is calculated using the formula: where: εthermal​ = Thermal strain (dimensionless) α = Coefficient of thermal