To understand the bending stress in an arbitrary loaded beam, consider a small element cut from the beam as shown in the diagram at the left. The beam type or actual loads does not effect the derivation of bending strain equation. Recall, the basic definition of normal strain is.implifying and rearranging gives, This equation gives the bending normal stress, and is also commonly called the flexure formula. The y term is the distance from the neutral axis (up is positive). The I term is the moment of inertia about the neutral axis.
John Paul Jones was a hero of the colonial navy during the American Revolution. He defeated a British ship in one of the most famous sea battles in history. (1747-92). The first great American naval hero was Captain John Paul Jones.
In 1775, after the battles at Lexington and Concord, John Paul Jones offered his services to the new Continental Navy. He served on the Providence (ex-Katy), the Alfred, and the Ranger. They captured prize ships, including valuable merchant vessels, and destroyed shore batteries.