2 Mechanics of Materials Mechanics of SolidsMechanics of Deformable BodiesSolid MechanicsStrength of Materials.
3 StaticsForcesRigid BodiesDynamicsMotionParticles, Rigid BodiesMechanics of MaterialsForcesExternalInternalMaterial Properties
4 Mechanics of Materials Area of mechanics that studies the relationships between external loads applied to a deformable body and the intensity of internal forces within a bodyAn understanding of material behavior will play an important role in developing the necessary equations used in mechanics of materials.
13 Internal Forces at a point – method of Sections Internal forces at all points along lengthInternal forces – a function of distance along length of beam.
14 Shear and Moment Diagrams For beams we can calculate the shear and moment diagrams as a function of position along the beam.Internal normal force will not be considered in that most loadings are vertical on a beam and we are primarily concerned about shear and bending failures.
15 Sign ConventionShear ~ positive direction is denoted by an internal force that causes a clockwise rotation on which it acts.Moment ~ positive direction is denoted by an internal moment that causes a compression or pushing on the upper part of the member
16 Relations between Distributed Load, Shear, and Moment. Slope of the Shear Diagram = Negative of distributed load intensitySlope of the bending moment diagram = Shear
17 Graph the internal forces shear force and bending moment along the axis of the beam.