Solved Problems On Stress And Strain

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This stress calculator will help you solve the problems in mechanics involving stress, strain and Young's modulus.

In a few simple steps, you will learn the stress vs strain relationship for any material that remains elastic.

The stress equation is E is the modulus of elasticity, or the Young's modulus.

It is a material constant, different for each substance.

Stresses acting parallel to a surface are known as shear stresses.

The (ultimate) tensile strength is the maximum tensile stress a material can experience before breaking (and a change of cross-sectional area as a result) will occur. Putting pressure on an object causes it to stretch.Where σ is stress (in Newtons per square metre or, equivalently, Pascals), F is force (in Newtons, commonly abbreviated N), and A is the cross sectional area of the sample. Two distinctions should be made between stress and pressure: Firstly, while pressure is typically used to describe fluids (liquids or gases), stress is used to describe solids.Secondly, while pressure can only act perpendicular to a surface, stress is also able to act parallel to a surface.In a brittle material, such as glass or ceramics, the stress-strain graph will have an extremely short elastic region, and then will fracture.There is no plastic region on the stress-strain graph of a brittle material.Materials for which Hooke's law is a useful approximation are known as linear-elastic, or 'elastic materials'.In this region (between points 2 and 3), the rate at which extension is increasing is going up, and the material has passed the elastic limit - it will no longer return to its original shape when the load is removed, and will no undergo plastic (permanent) deformation.The material will now 'give' and extend more under less force.At point 3, the material has been fractured and so no further measurements can be taken.It has three main features: In this region (between the origin and point 2), the ratio of stress to strain (Young's modulus) is constant, meaning that the material is obeying Hooke's law, which states that a material is elastic (it will return to its original shape) if force is directly proportional to extension of the material Hooke's law of elasticity is an approximation that states that the Force F (load) is in direct proportion with the extension (denoted by x or e) of a material, provided this load does not exceed the proportional limit.The constant k is inherent to the material being measured.


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