Lecture Strength of Materials I: Chapter 1 - PhD. Tran Minh Tu

Description includes stress-strain concept, tensile test, stress and strain due to axial loading, statically indeterminate case related to axial loading, introduction to plasticity and r[r]

STRENGTH OF MATERIALS

• Ass Prof Tran Minh Tu, PhD Eng.

• Tel: 04.8691 462 (off.) Handphone : 0912101173

• http://www tranminhtu.com

Mazurek Mechanics of Materials Mc Graw Hill 2009

appointment

GENERAL INFORMATION

Sample reading list:

Russell C Hibbeler, Mechanics of Materials, 6/E

(required text)

Roy R Craig, Jr (1996), Mechanics and Materials

Bedford, Fowler & Liecht (2003), Statics and

Mechanics and Materials

Beer & Johnson, Mechanics and Materials

James H Gere, Mechanics and Materials, 6th

edition

Strength of Materials

This course discusses stress calculation due to loads.

Description includes stress-strain concept, tensile test, stress

and strain due to axial loading, statically indeterminate case

related to axial loading, introduction to plasticity and residual

stress, stress and strain due to other loads, such as torsion,

bending moment, and shear force, Mohr’s circle of stress,

failure theory, deflection, statically indeterminate structures, and

energy method.

Princeton ： Grading:

Mid Term Exam - 20%

Design Project - 30%

Take Home Final Exam

-25%

Problem set(s) - 15%

Other (See Instructor) - 10%

MIT： Grading

Homework 25%

Lab Assignments 30%

Quiz 15%

Case Study and Presentation 10% Final Exam 20%

Class Attendance*

Stanford： Grading

Homework Assignments

25%

Lab Reports 10%

Midterm 25%

Final Exam 40%

Berkeley: Grading

assignments(25%) Two Midterm Examinations(20%+20%)

Final examination (35%)

GENERAL INFORMATION

CHAPTER

Introduction – Concept of Stress

1.1 Introduction 1.2 Review of Static 1.3 Equilibrium of deformable body 1.4 Concept of Stress

1.5 Stress Under General Loadings 1.6 Strain

1.7 Types of loading 1.8 Assumptions 1.9 Principle Superposition

Contents

1.1 Introduction

- Consider a diving board as an example of a deformable body

- From rigid-body equilibrium, given the weight of the diver, and the lengths L1, L2, we can determine the diving board support reactions at

A and B Questions of the following type can only be answered by employing the principles and procedures of strength of materials

1.1 Introduction

1.1.1 Strength of materials

• A branch of mechanics

• It studies the relationship of

– External loads applied to a deformable body, and

– The intensity of internal forces acting within the body

• Are used to compute the deformations of a body

• Strength of Materials is a field of study that determines strength, stiffness, & stability

1.1 Introduction

1.1 Introduction

Mechanics

Rigid Body

Mechanics

Deformable Body

Mechanics

Strength of Materials Static

(Dynamic) Kinetic

Fluid Mechanics

(2) Kinetic:

∑F = ma

(1) Equilibrium

∑F x = 0; ∑Fy = 0; ∑Fz = 0;

∑Mx= 0; ∑My= 0; ∑Mz= 0

Rigid Body

• Static

Deformable Body

• Strength of Materials

(1) Equilibrium

∑F x = 0; ∑Fy = 0; ∑Fz = 0;

∑Mx= 0; ∑My= 0; ∑Mz= 0 (2) Stress – Strain relationship:

s = Ee

1.1 Introduction

1.1.2 Classification of Structural element

1.1 Introduction

1.1 Introduction

1.1 Introduction

Classification of Structural elements

Structural elements compose a structure and can be classified as by their forms (shapes and dimensions)

• Three dimensional body

• Plates and Shells

1.1 Introduction

1.1 Introduction

• Rods, Bars

1.1 Introduction

1.1 Introduction

1.1 Introduction

1.1.3 External loads

• Surface forces

– Area of contact

– Concentrated force

– Linear distributed force

– Centroid C (or geometric

center)

• Body force (e.g., weight)