1 NONLINEAR ANALYSIS. 2 SOURCES OF NON LINEAR BEHAVIOUR non-linear supports contact stress tension/compression only links elastic foundation offset or.

Slides:

Advertisements

Similar presentations

Spring 2007 Dr. D. M. McStravick Rice University

Advertisements

6 STATICS ENGINEERS MECHANICS CHAPTER Lecture Notes:

Indeterminate Structure Session Subject: S1014 / MECHANICS of MATERIALS Year: 2008.

Chapter 11 Mechanical Properties of Materials

Overview of Loads ON and IN Structures / Machines

Beams and Frames.

Structural Principles and Landscapes Over Structure GSD 6242 Ecologies, Techniques, Technologies IV Spring 2015Niall Kirkwood FASLA Alistair McIntosh FASLA.

1 Classes #3 & #4 Civil Engineering Materials – CIVE 2110 Torsion Fall 2010 Dr. Gupta Dr. Pickett.

Torsion: Shear Stress & Twist ( )

Chapter 6 Section 3,4 Bending Deformation, Strain and Stress in Beams

© 2006 The McGraw-Hill Companies, Inc. All rights reserved. MECHANICS OF MATERIALS FourthEdition Beer Johnston DeWolf Find the T 0 for the maximum.

Mechanics of Materials II

CTC / MTC 222 Strength of Materials

Leaning objectives Axial Stress

CM 197 Mechanics of Materials Chap 14: Stresses in Beams

Stress Analysis -MDP N161 Bending of Beams Stress and Deformation

Example 6.04 SOLUTION: Determine the shear force per unit length along each edge of the upper plank. For the upper plank, Based on the spacing between.

Plastic Deformations of Members With a Single Plane of Symmetry

Mechanics of Materials Goal:Load Deformation Factors that affect deformation of a structure P PPP Stress: intensity of internal force.

Shearing Stresses in Beams and Thin-Walled Members

Shear Stress and Strain

Plastic Deformations of Members With a Single Plane of Symmetry

Basic Structural Theory. BASIC STRUCTURAL THEORY TECHNICAL STANDARDS BRANCH INTRODUCTION TO BRIDGES TRANSPORTATION Slide 2 Beams Different member types.

Example 6.04 SOLUTION: Determine the shear force per unit length along each edge of the upper plank. Based on the spacing between nails, determine the.

George F. Limbrunner and Leonard Spiegel Applied Statics and Strength of Materials, 5e Copyright ©2009 by Pearson Higher Education, Inc. Upper Saddle River,

LINEAR BUCKLING ANALYSIS

Phys 250 Ch9 p1 Angular velocity an object which rotates about a fixed axis has an average angular velocity  av : usually rad/s but sometime rpm, rps.

Static Equilibrium; Elasticity and Fracture

Strengths Chapter 10 Strains. 1-1 Intro Structural materials deform under the action of forces Three kinds of deformation Increase in length called an.

Mechanics of Materials – MAE 243 (Section 002) Spring 2008 Dr. Konstantinos A. Sierros.

Mechanics of Materials – MAE 243 (Section 002) Spring 2008 Dr. Konstantinos A. Sierros.

STRENGTHS Chapter Intro Dealing with relationship between the external loads applied to an elastic body and the intensity of the internal forces.

Fundamentals of Metal Forming Metal forming includes a large group of manufacturing processes in which plastic deformation is used to change the shape.

MECHANICS OF MATERIALS Third Edition Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University CHAPTER.

Strength of Material-1 Introduction. Dr. Attaullah Shah.

Chapter 11 Outline Equilibrium and Elasticity

BFC (Mechanics of Materials) Chapter 1: Stress & Strain Shahrul Niza Mokhatar

Chapter 4 Pure Bending Eng. Mahmoud AlQazzaz.

GTSTRUDL User’s Group BASE PLATE ANALYSIS June 23, 2011 Parimal Gandhi, PE Sr. Engineer 1 Annual Meeting

Types Of Transducers Resistive Position Transducer: The principle of the resistive position transducer is that the physical variable under measurement.

Chapter 12 Lecture 22: Static Equilibrium and Elasticity: II.

Elasticity Yashwantarao Chavan Institute of Science Satara Physics

Building Construction

Chapter 6 Section 3,4 Bending Deformation, Strain and Stress in Beams

From: Post-Buckling Analysis of Curved Beams

Example 6.04 SOLUTION: Determine the shear force per unit length along each edge of the upper plank. For the upper plank, Based on the spacing between.

Stress Concentration Effect

Overview of Loads ON and IN Structures / Machines

Questions – Elasticity and Plasticity

BDA30303 Solid Mechanics II.

Compression Members.

Ch. 2: Fundamental of Structure

Structure I Course Code: ARCH 208 Dr. Aeid A. Abdulrazeg

Chapter 3 Buckling of Column SAIFULNIZAN JAMIAN.

Example 6.04 SOLUTION: Determine the shear force per unit length along each edge of the upper plank. For the upper plank, Based on the spacing between.

Model: Large Deformation Beam

Mechanics of Materials Engr 350 – Lecture 38 Columns

Simple Stresses & Strain

Presentation transcript:

1 NONLINEAR ANALYSIS

2 SOURCES OF NON LINEAR BEHAVIOUR non-linear supports contact stress tension/compression only links elastic foundation offset or eccentric loads loads causing the loss of elastic stability (buckling) geometric non-linearity displacements of the structure significantly changes structure's stiffness material non-linearity stresses exceed elastic limits so stress is no longer proportional to strain combined large displacements causing plastic flow crash analysis metal stamping …

3 Non linear supports analysis EXAMPLES OF NON-LINEAR PROBLEMS

4 crane potential buckling stamped steel pulley potential buckling angle under bending load potential buckling plate under compressive off-center load; potential buckling dome potential buckling Buckling EXAMPLES OF NON-LINEAR PROBLEMS

5 NL002.SLDPRT

6 Linear solutionNon-linear solution

7 ROUND PLATE.SLDPRT

8

9 Displacement of the center of membrane as function of applied pressure for linear and nonlinear model. Δ F Δ d

10 link 02.SLDPRT

11 Linear solutionNon-linear solution link 02.SLDPRT

12 Horizontal reaction -7.7N Non-linear solution Linear solution Horizontal reaction 3300N

13 Chapter 5

14 Fixed support Sliding support 1,200N normal load to shaded face NL001 FLAT BEAM model fileNL001 model typesolid materialalloy steel restraintstbuilt-in to left end sliding to right end load1,200 N normal force to top face objectives calculate maximum displacement calculate horizontal displacement of the sliding end compare linear and non-linear displacement solution Fixed support Sliding support

15 ec019.SLDPRT QUESTION: why does shaft grow in diameter and lugs stretch?

16 square hole.SLDPRT QUESTION: why does hole grow in size. Is there something wrong with the code?

17 This corner must travel along a straight line that is perpendicular to the radius so after deformation it will be here The same applies to the other three corners. The combined effect gives the illusion of square growing in size even though it is “frozen” in size by rigid links. Square after deformation Square before deformation