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

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

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2

CHAPTER

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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

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2.1 Introduction

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- 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.

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- Types of supports

2.1 Introduction

Idealized

A

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- 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

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2.1 Introduction

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

A

A V

A

H A

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2.1.2 Types of beams

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2.2 Internal Stress Resultants

y z x Mx My Mz Qx NZ Qy

In general, internal stress resultants (internal forces) consist of components

• Nz – Normal force

• Qx, Qy – Shear forces

• Mx, My – Bending moments

• Mz – Torsional moment

 Planar structures: if they lie in a single plane and all loads act in that same plane => Only internal stress resultants exert on this plane (zoy)

y z x Mx NZ Qy

• Nz – axial force (N); • Qy – shear force (Q);

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