Last edited 19 Jan 2021

Elastic limit

1 Introduction
2 Elastic limit
3 Linear elasticity
4 Related articles on Designing Buildings Wiki

[edit] Introduction

All materials show elastic behaviour to a degree, some more than others. If, after a load has been applied and then quickly removed, a material returns rapidly to its original shape, it is said to be behaving elastically. Elasticity is a crucial characteristic of building materials; if it were not, buildings would suffer continuous deformation under load and ultimately would collapse.

[edit] Elastic limit

A solid material’s elastic limit is the maximum stress per unit area it can withstand before there is permanent deformation. In other words, it is the limit of the material’s elasticity, for up to that point, the solid can resume its original shape when the load is removed; after that point, it undergoes permanent (plastic) deformation and will not return to its original shape even after the load (yield load) has been removed.

On a graph showing a stress-strain curve, the point of the limit of elastic behaviour is called the ‘yield point’ and this is where plastic deformation begins – some of this deformation will be plastic and irreversible. In structural engineering, the yield point is regarded as a ‘soft failure’ mode which does not usually cause catastrophic or ultimate failure.

No structural material exhibits perfect elasticity: depending on the type of structure and the material, permanent deformations are unavoidable whenever loads exceed certain values. That is why engineers design structures to ensure the materials are being used within their elastic range and the loads involved will not produce permanent deformations.

All structural materials behave plastically beyond their elastic range. However, even if some materials show elastic behaviour, they may – after a long period of service, usually many years – exhibit a degree of plastic flow (or creep).

[edit] Linear elasticity

This occurs when the deformation in a material is proportional to the load applied. So, if a person weighing 50kg causes a diving board to deflect by 300mm, and another person weighing 100kg causes an identical board to deflect by 600mm, the diving board is exhibiting linear deflection. Most structural materials are, within limits, linearly elastic and are used within their linearly elastic range.