Review Questions: Chapter 0 Given, calculate all the possible binary products of a, a T, b and b T What are the eigenvalues of the matrix ? Is it positive.

Slides:

Advertisements

Similar presentations

Constitutive models Part 2 Elastoplastic

Advertisements

1/141/14 M.Chrzanowski: Strength of Materials SM2-10: Yielding & rupture criteria YIELDING AND RUPTURE CRITERIA (limit hypothesis)

Statically Determinate and Indeterminate System of Bars.

Course Title: Strength of Materials (CVE 202)

1cs533d-term Notes  No lecture Thursday (apologies)

Beams and Frames.

Finite Element Model Generation Model size Element class – Element type, Number of dimensions, Size – Plane stress & Plane strain – Higher order elements.

Chapter Outline Shigley’s Mechanical Engineering Design.

MANE 4240 & CIVL 4240 Introduction to Finite Elements

Chapter 17 Design Analysis using Inventor Stress Analysis Module

Jump to first page 1 Normal stress = Chapter 2 Mechanics of Materials Example: Estimate the normal stress on a shin bone ( 脛骨 ) ATensile stress (+) Compressive.

Exercise 1 Torsional stiffness of a socket – Using Free mesh vs. Mapped Mesh – Appling torque distributed on nodes – Torsional stiffness: moment / (radian.

M. A. Farjoo.  The stiffness can be defined by appropriate stress – strain relations.  The components of any engineering constant can be expressed in.

Matrix Methods (Notes Only)

Failure Theories Why do parts fail? What kind of stresses?

Leaning objectives Axial Stress

Material Strength.

Slide 1 Assignment 3. Slide 2 PROBLEM 1 Calculate the maximum deflection in a beam clamped at the both ends as shown in Figure below where the thickness.

Phy 212: General Physics II Chapter : Topic Lecture Notes.

Introduction to Finite Element Analysis for Structure Design Dr. A. Sherif El-Gizawy.

Mechanics of Materials Lecture 3 Chapter1 - Part 3.

MANE 4240 & CIVL 4240 Introduction to Finite Elements

 2005 Pearson Education South Asia Pte Ltd TUTORIAL-1 : UNIAXIAL LOAD 1 PROBLEM-1 1 m P A composite A-36 steel bar shown in the figure has 2 segments,

2-3 Geometric Sequences Definitions & Equations

Principal Stresses and Strain and Theories of Failure

ME 520 Fundamentals of Finite Element Analysis

Theories of Stress and Strain

Another Type of Stress and Strain (Credit for many illustrations is given to McGraw Hill publishers and an array of internet search results) Or Shear Bliss.

6-Bar Elements in 2-D Space Dr. Ahmet Zafer Şenalp Mechanical Engineering Department Gebze Technical.

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

1 20-Oct-15 Last course Lecture plan and policies What is FEM? Brief history of the FEM Example of applications Discretization Example of FEM softwares.

CHAP 1 STRESS-STRAIN ANALYSIS

Jw Physics 2111 Understanding Physics Chapter 12 1 Fundamentals of Physics Chapter 12 Equilibrium & Elasticity 1.Equilibrium 2.The Requirements of Equilibrium.

The Finite Element Method A Practical Course

Chapter 6. Plane Stress / Plane Strain Problems

Features: 1. 2D structural analysis (plane stress) 2. Static analysis 3. Quarter symmetric 4. SI units 5. Only the yoke is modeled 6. Material properties.

1 ME383 Modern Manufacturing Practices Lecture Note #3 Stress-Strain & Yield Criteria Dr. Y.B. Guo Mechanical Engineering The University of Alabama.

Stress and Strain – Axial Loading

Stress and Strain – Axial Loading

Failure Criteria and stress concentration

Chapter 9-Statics, Dynamics and Mechanical Engineering Objectives and what should you Know: What are statics and Dynamics? What are the Newtons’s three.

EGEE 520 Spring Semester, 09 Speaker: Amirreza Ghasemi.

Chapter 6 A four-node quadrilateral element is shown in the figure. 1.Write the (x,y) coordinates in the elements in terms of (s,t) of the reference element.

UNIT-01. SIMPLE STRESSES and STRAINS Lecture Number - 02 Prof. M. N. CHOUGULE MECHANICAL DEPARTMENT SIT LONAVALA Strength of Materials.

Phil. U., M Eng Dep., Measurements, Chap#12 This chapter considers force and torque measuring methods and relates it to basic strain measurement. Force.

Principles of Computer-Aided Design and Manufacturing Second Edition 2004 ISBN Author: Prof. Farid. Amirouche University of Illinois-Chicago.

Copyright © 2011 Pearson Education South Asia Pte Ltd

STRESS-STRAIN RELATIONSHIP

11 10-Jan-16 Last course Interpretations and properties of the stiffness matrix (cont’d) The DSM for plane and space trusses.

Stress and Strain ( , 3.14) MAE 316 – Strength of Mechanical Components NC State University Department of Mechanical & Aerospace Engineering Stress.

Stress and Strain – Axial Loading

13-Linear Triangular Element Dr. Ahmet Zafer Şenalp Mechanical Engineering Department Gebze Technical.

12.3 Dot Product (“multiplying vectors”) Properties of the dot product Angle between two vectors using dot product Direction Cosines Projection of a vector.

Tutorial 7_Review MECH 101 Liang Tengfei Office phone : Mobile : Office hour : 14:00-15:00 Fri 1.

TORSION OF A SHAFT WITH A SHOULDER FILLET

MESF593 Finite Element Methods

Stress and Strain1 Stress Analysis Mechanics: Stress and strain.

7. Yield Criteria of Metals

Stress and Strain – Axial Loading

Transformations of Stress and Strain

COORDINATE TRANSFORMATION

CTC / MTC 222 Strength of Materials

Implementation of 2D stress-strain Finite Element Modeling on MATLAB

( BDA 3033 ) CHAPTER 6 Theories of Elastic Failures

CHAPTER 2 BASIC CONCEPTS OF DISPLACEMENT OR STIFFNESS METHOD:

Geometric Sequences Definitions & Equations

Plane Trusses (Initial notes are designed by Dr. Nazri Kamsah)

( BDA 3033 ) CHAPTER 6 Theories of Elastic Failures

EML 2023 – Stress Analysis Lecture 1 – Stress State.

8-1 Introduction a) Plane Stress y

Presentation transcript:

Review Questions: Chapter 0 Given, calculate all the possible binary products of a, a T, b and b T What are the eigenvalues of the matrix ? Is it positive definite? No positive semi-definite. For other answers check with Matlab

Chapter 1 – from last year’s exam The only non-zero stress components are What is the normal stress in the direction of the vector i+2j+2k? -6.67MPa What are the three principal stresses? 60, 0, -30 MPa If the yield stress of the material is 180 MPa, What is the safety factor? 2 using Tresca, 2.27 using von Mises Young modulus is 100 GPa, and Poisson’s ratio is 0.25, and the shear stress

Chapter 1 strains The only non-zero strain component is Illustrate the geometric meaning of the shear strain in a drawing. If you are showing angles give their units (radians, degrees). Provide a displacement field that will generate this strain Show that [1 0 1]’ is a principal direction. What is the normal strain in that direction?

Chapter 2 – For the spring system shown below, if springs 1, 2, 6 are very stiff, and spring 3 is very flexible what would be the displacement vector in terms of the spring constants 4 and 5 and the forces. F2F2 F3F3 F4F

Chapter 2 - continued For the 3-bar truss of example 2.5, the equation for solving the displacements at Node 1 was What would be the equations if we doubled the areas of all three members? 3 instead of 1.5 Given that all members are the same, and the angles between them are the same, write the stiffness matrix if we double only the area of member 2. The 1.5 multiplying v changes to F 45 