What Is Modulus of Rigidity?

Modulus of rigidity, or the shearing modulus, is used to determine how elastic or bendable materials will be if they are sheared, which is being pushed parallel from opposite sides. This property becomes the useful part of many calculations, and it is called the coefficient of elasticity during shearing. It can be measured by a shear strain test, which is conducted by placing a rod of a given material into a clamp and applying force at a measured distance away from the clamp to only one side of the rod.

There are three popular applications for the shearing modulus formula. Young’s modulus for strings and Bulk’s modulus for gases both need the shearing modulus to predict how waves form in gases. The shear strain test is also used if it is already known to predict the amount of force needed to bend a material.

Material scientists and applied physicists use the this concept in special ways. Understanding the modulus of rigidity will help select the correct material to use for construction under many circumstances. The smaller the force is, the easier the material will bend. It is calculated and publicly recorded for most materials. A rod made of gold will bend more easily than one of the same thickness made of steel, for example, and the shearing modulus displays this clearly for most comparisons.

At tiny levels, the modulus of rigidity relates to atoms sliding over one another. This helps explain why temperature and pressure also affect it. The colder an object and the more pressure it is under, the more rigid or stiff it becomes. At high temperatures and low pressures, most materials start to melt and become easier to bend.

Predicting this property can be very difficult. Doing a shear strain test can give a measure for available materials. It becomes difficult to discover new materials that show better performance under certain conditions, such as at the bottom of the ocean. In some cases, the materials have never been created and scientists use math to predict the shearing modulus.

Common experience with materials can be explained by this property. Most people understand that diamonds are very hard — they have a modulus of rigidity that is 10 times higher than that of steel. Rubber bands wrap and twist without effort, and their measurement is very small. Thin metal cans are easy to bend, but thick plastics are not because even though metals are more rigid, the thicknesses are not the same.