Presentation on theme: "Chapter 6 Section 3,4 Bending Deformation, Strain and Stress in Beams"— Presentation transcript:
1 Chapter 6 Section 3,4 Bending Deformation, Strain and Stress in Beams
2 6.2 Bending Deformation and Strain Key Points:Bending moment causes beam to deform.X = longitudinal axisY = axis of symmetryNeutral surface – does not undergo a change in lengthFigure: 06-20
3 Internal bending moment causes beam to deform. Figure: 06-21aKey Points:Internal bending moment causes beam to deform.For this case, top fibers in compression, bottom in tension.
4 Neutral surface – no change in length. Figure: 06-22a-bKey Points:Neutral surface – no change in length.All cross-sections remain plane and perpendicular to longitudinal axis.Neglect deformation of cros section within its own plane.
16 Example: The T-shape beam is subjected to the loading below. Draw shear and moment diagram. Identify location and magnitude of Mmax.Determine location and magnitude of maximum bending stress and draw stress profile. Is the beam safe if the material is aluminum w/ sy = 15 ksi?What is the largest internal moment the beam can resist if sallow = 2 ksi?
18 Given: Typical household pliers as shown. Statics: Example 1 - PliersGiven: Typical household pliers as shown.Find: Force applied to wire and force in pin that connects the two parts of the pliers.Do this for homework.See solution LinkSide: what is the shear stress in pin and bending stress in handle? SofM
19 Given: Crane structure as shown. Statics: Example 2 – Crane StructureGiven: Crane structure as shown.Find: Forces and FBD’s for cables A-B and A-E, boom DEF and post AFC.Do this for homework.See solution LinkSide: what is the normal stress in cables (average normal only) and normal stress in boom and post (combined loading)? SofM
20 Example 4: Determine the resultant internal loadings acting on the cross sections located through points D and E of the frame. (1-114)