Download Resistance between pulley system and wheel and more Cheat Sheet Mechanics in PDF only on Docsity! TO FIND THE REACTION OF SIMPLY SUPPORTED BEAM THEORY BEAM A beam is a structural element that primarily resists loads applied laterally to the beam's axis (an element designed to carry primarily axial load would be a strut or column). Its mode of deflection is primarily by bending. The loads applied to the beam result in reaction forces at the beam's support points. The total effect of all the forces acting on the beam is to produce shear forces and bending moments within the beams, that in turn induce internal stresses, strains, and deflections of the beam. Beams are characterized by their manner of support, profile (shape of cross-section), equilibrium conditions, length, and material. COLUMNS A column or pillar in architecture and structural engineering is a structural element that transmits, through compression, the weight of the structure above to other structural elements below. In other words, a column is a compression member. The term column applies especially to a large round support (the shaft of the column) with a capital and a base or pedestal,[1] which is made of stone, or appearing to be so. A small wooden or metal support is typically called a post, and supports with a rectangular or other non-round section are usually called piers. TYPES OF BEAMS There are a few primary types of beams used in construction and engineering. These beams are typically classified based on their length, equilibrium and cross-section and include: Continuous beams A continuous beam is one that has two or more supports that reinforce the beam. These supports are used under and between the beams and are typically vertical in nature. Continuous beams are thought to be more economical when compared to other beam types. Simply supported beams Simply supported beams are those that have supports at both end of the beam. These are most frequently utilized in general construction and are very versatile in terms of the types of structures that they can be used with. A simply support beam has no moment resistant at the support area and is placed in a way that allows for free rotation at the ends on columns or walls. Fixed beams A fixed beam is one that is fixed on both ends of the beam with supports. This type of beam does not allow for bending moment production and will not have any vertical movement or rotation. Fixed beams are most frequently used in trusses and similar structures. Overhanging beams An overhanging beam is one that is supported at two different areas, typically at one end and in the middle of the beam, but does not have a support at the other end of the beam, leaving it hanging. This type of beam extends beyond the walls or columns and the overhanging section of the beam is unsupported. An overhanging beam is a combination of a simply supported beam and a cantilever beam. Cantilever beam A cantilever beam is one that is free-hanging at one end of the beam and fixed at the other. This type of beam is capable of carrying loads with both bending moment and sheer stress and is typically used when building bridge trusses or similar structures. The end that is fixed is typically attached to a column or wall. The tension zone of a cantilever beam is found at the top of the beam with the compression at the bottom of the beam. REACTION The restriction offered by the member when load is applied is called reaction. The action and reaction forces are reciprocal (opposite) on an object. Examples may include: A swimmer swimming forward: The swimmer pushes against the water (action force), the water pushes back on the swimmer (reaction force) and pushes her forward.