Lecture Strength of Materials I: Chapter 2 - PhD. Tran Minh Tu

- Roller support: prevents the translation in the vertical direction but not in the horizontal direction, and does not prevent the rotation. 2.1.[r]

STRENGTH OF MATERIALS

CHAPTER

Axial Force, Shear Force and

Bending Moment

2.1 Introduction

2.2 Internal Stress Resultants

2.3 Example

2.4 Relationships between loads,

shear forces, and bending moments 2.5 Graphical Method for Constructing Shear

and Moment Diagrams 2.6 Normal, Shear force and

Contents

2.1 Introduction

- Structural members are usually classified

according to the types of loads that they

support

- Planar structures: if they lie in a single

plane and all loads act in that same plane

2.1.1 Support connections.

- Structural members are joined together in various ways depending on the intent of the designer The three types of joint most often specified are the pin connection, the roller support, and the fixed joint

- Types of supports

2.1 Introduction

Idealized

A

- Pin support: prevents the translation at the

end of a beam but does not prevent the

rotation

- Roller support: prevents the translation in

the vertical direction but not in the horizontal

direction, and does not prevent the rotation

2.1 Introduction

A

A V

2.1 Introduction

- Fixed (clamped) support: the bar can neither translate nor rotate

A

A V

A

M

2.1 Introduction

2.1.2 Types of beams

2.1 Introduction

2.2 Internal Stress Resultants

y

z

x

Mx

My

NZ Qy

In general, internal stress resultants

(internal forces) consist of 6 components

• Nz – Normal force

• Qx, Qy – Shear forces

 Planar structures: if they lie in a

single plane and all loads act in that

same plane => Only 3 internal stress

resultants exert on this plane (zoy)

z

x

Mx

NZ Qy

• Nz – axial force (N);

• Qy – shear force (Q);

• Mx - bending moment (M)