The WlO x 15 cantilevered beam is made of A-36 steel and is subjected to the loading shown. Determine the displacement at Band the slope at B.
LECTURE – 1 MECHANICS Study of what happens to a body when forces are applied to it. Mechanics Rigid bodies Deformable bodies Fluids (Don’t change shape) (Do change shape) Compressible Incompressible Statics Dynamics Fundamental physical Quantities Length Mass Time Force Newton’s second Law relates these quantities through the formula F = ma F = Force applied to object m = mass of object a = acceleration of object 2 different unit systems Standard English 1 kilogram (kg) 1 slug 9.81 Newtons 32.2 lbs (pounds) To do math with these units, you must maintain dimensional homogeneity. For example, do not add kg and slugs, but add kg with kg or slugs with slugs. Problem Solving Strategy 1. Read problem, determine what is given, and what has to be found 2. Think of the steps, try to find multiple solutions 3. Carry out steps. Use diagrams and equations SCALAR – Something with only a magnitude but no direction ex; length VECTOR – Has both magnitude and direction ex; velocity Example of vector – represented by an arrow