Understanding Transverse Deflection of Laminate — Lesson 1

This lesson covers the concept of transverse deflection of laminate, a crucial aspect of classical lamination theory. The lesson delves into the process of analyzing transverse deflection, considering the equilibrium equations and the transverse shear stress. It explains how to represent stresses in each layer by force and moment resultant. The lesson also discusses the importance of considering small transverse deformation and the neglect of out-of-plane components of in-plane force resultants. It further explains how to determine the mid-surface strains and curvatures, and how to obtain the stresses in each ply in the material axis. The lesson concludes with the application of appropriate failure theory to assess the safety of each lamina.

Video Highlights

01:21 - Discussion on small transverse deformation
04:29 - Analysis of transverse shear stress
13:05 - Discussion on moment equilibrium
16:55 - Explanation of force deformation relation
22:10 - Discussion on coupled equations
26:56 - Explanation of how to obtain stresses in each ply
32:20 - Discussion on Displacement boundary conditions

Key Takeaways

- Transverse deflection of laminate is a crucial aspect of classical lamination theory.
- The analysis of transverse deflection involves considering the equilibrium equations and the transverse shear stress.
- It's important to consider small transverse deformation and neglect the out-of-plane components of in-plane force resultants.
- The mid-surface strains and curvatures can be determined using the force deformation relation.
- The stresses in each ply in the material axis can be obtained and the appropriate failure theory can be applied to assess the safety of each lamina.