Download presentation

Presentation is loading. Please wait.

Published byAlexandro Merrett Modified over 2 years ago

2
2.3 Bending deformation of isotropic layer –classical lamination theory Bending response of a single layer Assumption of linear variation is far from reality, but gives reasonable results. Kirchoff-Love plate theory corresponds to Euler Bernoulli beam theory.

3
Basic kinematics Normals to mid-plane remain normal Bending strains proportional to curvatures

4
Hooke’s law Moment resultants D-matrix (EI per unit width)

5
Bending of symmetrically laminated layers

6
The power of distance from mid-plane

7
Bending-extension coupling of unsymmetrical laminates With unsymmetrical laminates, mid-plane is not neutral surface when only moment is applied. Conversely pure bending deformation require both force and moment.

8
B-matrix Force resultants needed to produce pure bending How can we see that is B zero for symmetrical laminate? Under both in-plane strains and curvatures

9
Under in-plane strains

10
Example 2.3.1

11
A Matrix A=0.2Q al +0.05Q br Checks: – Ratios of diagonal terms. – Ratios of diagonals to off diagonals. – Diagonal terms approximately average moduli times total thickness (+10% correction due to Poisson’s ratio)

12
B-Matrix

13
D-matrix For all-aluminum For all brass, 1.5 times larger. Calculated D Is it reasonable? Other checks?

14
Strains

Similar presentations

OK

Chapter 4 Pure Bending Ch 2 – Axial Loading Ch 3 – Torsion

Chapter 4 Pure Bending Ch 2 – Axial Loading Ch 3 – Torsion

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on political parties and electoral process in the philippines Ppt on p&g products free samples Ppt on disaster management in india Ppt on 5 star chocolate Ppt on solid dielectrics definition Ppt on different occupations in art Ppt on eisenmenger syndrome image Ppt on tv engineering Ppt on online voting system in php Ppt on formal education define