Generic Member: Elastic Stress Check

## About this Generic Member: Elastic Stress Check Calculator This calculation performs an elastic stress check on a member cross-section under combined axial force, biaxial bending and shear. It computes the maximum normal stress, the von Mises equivalent stress and an Euler buckling check, then compares each against an allowable stress and reports a governing utilisation. It is code-agnostic, so it suits first-principles checks and any material where you set the allowable stress. Every step is worked in visible maths. - **Mechanical and structural engineers** enter the section, forces and allowable stress and read the governing utilisation straight away. - **Design reviewers and checkers** trace the elastic stress derivation and the buckling check. - **Graduates and students** see how axial, bending and shear stresses combine into a von Mises equivalent stress. It is an engineering-grade calculation on CalcTree that you can duplicate, edit and fold into your own project workspace. ## More info on Generic Member: Elastic Stress Check ### Inputs Enter the cross-section properties, the member length, the axial force, the biaxial bending moments and the shear force, and set the allowable stress for the material. ### Design checks The calculation reports the maximum normal stress from axial plus biaxial bending, the von Mises equivalent stress including shear, and an Euler buckling check, each expressed as a utilisation against the allowable stress or critical load. ### Methods Stresses follow elastic beam theory, the von Mises criterion combines the direct and shear stresses, and the Euler critical load uses the minimum second moment of area. The maths is carried in MathJS, with a single chart summarising the utilisations. ## Common Calculation Errors to Avoid - **Wrong allowable stress** it must match the material and the governing code or standard. - **Single-axis assumption** include both bending axes when the load is biaxial. - **Wrong buckling inertia** the Euler check uses the minimum second moment of area, not the major-axis value. - **Elastic versus code capacity** an elastic check is not a full code capacity check where a code applies. - **Shear ignored** include shear where it is significant relative to bending.

## FAQs ### When should I use an elastic stress check? Use it for first-principles verification, for materials or situations without a dedicated code check, or as a quick sanity check before a full code assessment. You set the allowable stress yourself. ### What is the von Mises stress here? It combines the direct stresses from axial and bending with the shear stress into a single equivalent stress, compared against the allowable stress to give a utilisation. ### How is buckling treated? An Euler critical load is computed from the minimum second moment of area and the member length, and the axial force is checked against it. ### Is this tied to a design code? No. It is a general elastic check, so you set the allowable stress to suit your material and the governing code or standard. ### What inputs do I need? Section properties, member length, the axial force, the biaxial bending moments, the shear force and an allowable stress.