Introduction to Strength of Materials Lecturer: Dr. Tomas U. Ganiron, Jr Content of the course Simple Stress and Strain Shear Force and Bending Moment Diagrams in Statically Determinate Beams Stresses in Beams Torsion 2 Strenght of Materials I - DAT Statics Engineering Mechanics Dynamics Mechanics of Materials 3 Strenght of Materials I - DAT Study of EXTERNAL effects on Rigid bodies 4 Study of INTERNAL effects and Deformations that are caused by the Applied loads Strenght of Materials I - DAT Thursday, October 23, 14 5 Mechanic of Materials Mechanics of Deformable Bodies Mechanics of Solids Strength of Materials Strenght of Materials I - DAT Thursday, October 23, 14 All branches of Engineering deal with physical systems, the component parts of which are to be assigend definite physical sizes, fabricated from some materials! 6 Strenght of Materials I - DAT Thursday, October 23, 14 Appropriate sizing is necessary for these parts of safety withstand the imposed forces on them and at an optimal cost. DESIGN! 7 Strenght of Materials I - DAT Thursday, October 23, 14 It is essential to study the behavior of material from the strength and deformation point of view, as well as the characterization of different kinds of forces, which cause different types of stresses in 8 Thursday, October 23, 14 The subject, which deals with the analytical deformation of the strength, deformation characteristics (stiffness) and stability of different members, is normally designated as the Strength of Materials. 9 Strenght of Materials I - DAT Thursday, October 23, 14 Characteristics of Materials of Strength Strength Stiffness Stability 10 Strenght of Materials I - DAT Thursday, October 23, 14 Historical Aspects Galileo, Leonardo-Da-Vinci, Eraly part of 17th Centry. Leonard Euler (1707-1783) developed theory of columns. French investigators like, to name a few Cauchy, Nervier, Poisson, Coulomb, St. Venant and several others. 11 Strenght of Materials I - DAT Thursday, October 23, 14 Specific Objectives It is expected that one should be in a position to understand The classification of different kinds of forces that structural components are subjected to. Effects of different forces on such components and their solution techniques. Different types of stresses and deformations that develop due to forces 12 Strenght of Materials I - DAT Thursday, October 23, 14 Scope The scope of this particular course includes; Identification of different types of forces that the structural components will be subjected to. Systematic evaluation of the effects of these forces on such structural components. 13 Strenght of Materials I - DAT Thursday, October 23, 14 Approach Mainly confined to material useful to engineering applications. Laws of Newtonian mechanics that govern that govern equilibrium of forces. Essential to know the mechanical characteristics of the materials with which the member will be fabricated. 14 Strenght of Materials I - DAT Thursday, October 23, 14 Units SI units will be used in this particular course. Meter (m) for length Kilogram (kg) for mass Second (s) for time 15 Strenght of Materials I - DAT Thursday, October 23, 14 Derived Units How to derive the units of the following: Area ? Velocity ? Acceleration ? Force ? 16 Strenght of Materials I - DAT Thursday, October 23, 14 Body forces The body forces act throughout the body and associated with the units of volume of the body, Gravitational force Inertia force Magnetic force 17 Strenght of Materials I - DAT Thursday, October 23, 14 Surface Forces The surface forces act on the surfaces or area elements of a body 18 Strenght of Materials I - DAT Thursday, October 23, 14 Internal Forces 19 Strenght of Materials I - DAT Thursday, October 23, 14 Internal forces Free body diagrams 20 Strenght of Materials I - DAT Thursday, October 23, 14 Concept of Stress Direction of Stresses Shear Stresses Normal Stresses Tensile Compression 21 Strenght of Materials I - DAT Thursday, October 23, 14 Stresses multiplied by the respective areas on which they act give us the forces and at section the vector sum of these forces is known as the stress resultant keep a body in equilibrium. 22 Strenght of Materials I - DAT Thursday, October 23, 14 Example 1 Draw Free-Body Diagram 23 Strenght of Materials I - DAT Thursday, October 23, 14 Example 2 24 Strenght of Materials I - DAT Thursday, October 23, 14 Summary The lessen include: A general idea about the scope of the subject Typical application areas Concept of different forces Concept of free-body diagram Concept of Stress 25 Strenght of Materials I - DAT Thank You 26 Strenght of Materials I - DAT
