Determining the force distribution over a contact area between two components is crucial in engineering design. For instance, a bolted joint connecting two steel plates transmits load through the circular area of the bolt’s head or nut face against the plate. Evaluating this force per unit area is essential to ensure the materials can withstand the applied load without permanent deformation or failure.
This analysis is fundamental in various fields, from mechanical and structural engineering to material science. Historically, understanding and predicting such contact pressures have been key to developing reliable and safe structures. Accurate assessment prevents premature wear, ensures structural integrity, and optimizes material usage, leading to more efficient and durable designs. This knowledge is particularly critical in applications involving high loads or sensitive components, such as bridges, aircraft, and heavy machinery.
