To analyze a beam subjected to a vertical force and a triangular distributed load, determine the reaction forces acting on each of the supports, determine the minimum pin diameter for one support subjected to single shear, and determine the average shear stress in a pin support subjected to double shear. As shown, beam BC is subjected to a load of magnitude P = 800.0 kN and a triangular distributed load of w = 520.0 kN/m. The support rod AB is oriented at an angle of 0 = 150.0 from the beam. Let a = 5.000 m and b = 15.00 m. Cross-sectional views are shown for B and C. ENGN2217 Mechanical Systems and Design A B - B x W C H To understand the relationship between stress and strain in the linear elastic region and how that relationship is applied to elastic loading and unloading. The stress-strain curves of materials have a wide variety of shapes, but most engineering materials share one common feature: the initial portion of the curve is linear. In this linear elastic region, the stress and strain can be related by a simple equation, known as Hooke's law: = Ee. This law also has another application. When a material is deformed plastically, part of the deformation is recovered after the load is removed, and part of the deformation remains, which is a permanent strain. The line between the load point and the new unloaded point on the stress-strain curve will be parallel to the initial linear elastic region, and Hooke's law can be used to calculate the amount of elastic strain that is recovered.