Strength of materials cheat sheet pdf
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(12/12/94, revised 5/10/01,/14/02,/9/ A. Ruina) Basic Statics. How to do statics: Draw FBDs. Two-force Statics and Strength of Materials: fact sheet. Action Brinell Hardness Number (BHN) ()P D D D d S where, P = Standard load, D = Diameter of steel ball, and d = Diameter of the indent. Elastic constants Fundamental Mechanics of Materials Equations Basic defi nitions Average normal stress in an axial member avg Rule F A Average direct shear stress avg V A V Average bearing stressb b F A Average normal strain in an axial memberavg = L Average normal strain caused by temperature change T T Hooke’s Law (one-dimensional) EG and Poisson’s FE Mechanics of Materials Review Stresses in Beams My I σ=− σ= normal stress due to bending moment, force/length^2 y = distance from neutral axis to the longitudinal fiber in question, length (y positive above NA, neg below) I = moment of inertia of cross-section, length^4 max Mc I σ =± c = maximum value of y; distance from neutral axis Statics and Strength of Materials: fact sheet. (12/12/94, revised 5/10/01,/14/02,/9/ A. Ruina) Basic Statics. Use force and Statics and Strength of Materials Formula Sheet/12/| A. Ruina Not given here are the conditions under which the formulae are accurate or useful. For many purposes the words ‘moment’, ‘torque’, and ‘couple’ have the same meaning. Basic Statics Free Body Diagram The FBD is a picture of any system for which you would like to apply mechanics equations and of all the external forces and torques which act on the system. A a. The plane is in equilibrium so all the forces and moments on the plane must add The moment of a force is unchanged if the force is slid along its line of action. Alpha al-fah B Ji Beta bay-tah r 'r Gamma gam-ah A j) Delta Notes on Strength of Materials GATE/ME/SOM/PgNow consider a plane at angle to the x plane. How to do statics: Draw FBDs. σ = Mechanics of Material Reference Material You are allowed to use this material in the Exams and Quizzes. Free Body Diagram (FBD) Use force and moment balance. Hooke's Law: According to Hooke’s law the stress is directly proportional to strain i.e. normal stress (σ) ∝ normal strain (ε) and shearing stress (ζ) ∝ shearing strain (γ).