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

Chapter 2 - Axial force, shear force and bending moment. The following will be discussed in this chapter: Internal stress resultants; relationships between loads, shear forces, and bending moments; graphical method for constructing shear and moment diagrams; normal, shear force and bending moment diagram of frame. | Lecture Strength of Materials I: Chapter 2 - PhD. Tran Minh Tu STRENGTH OF MATERIALS 1/10/2013 TRAN MINH TU - University of Civil Engineering, 1 Giai Phong Str. 55, Hai Ba Trung Dist. Hanoi, Vietnam CHAPTER 2 Axial Force, Shear Force and Bending Moment 1/10/2013 2 Contents 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 bending moment diagram of frame 1/10/2013 3 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 1/10/2013 4 2.1. Introduction - Types of supports - Pin support: prevents the translation at the end of a beam but does not prevent the rotation. A Idealized HA 1/10/2013 V 5 A 2.1. Introduction - Roller support: prevents the translation in the vertical direction but not in the horizontal direction, and does not prevent the rotation. A V A 1/10/2013 6 2.1. Introduction - Fixed (clamped) support: the bar can neither translate nor rotate. A MA HA V A 1/10/2013 7 2.1. Introduction 1/10/2013 8 2.1. Introduction 2.1.2. Types of beams 1/10/2013 9 2.2. Internal Stress Resultants In general, internal stress resultants (internal forces) consist of 6 components Mx x • Nz – Normal force Mz Qx • Qx, Qy – Shear forces NZ z • Mx, My – Bending moments My Qy • Mz – Torsional moment y Planar structures: if they lie in a single plane and all loads act in that same plane => Only 3 .