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. | 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 . Introduction . Internal Stress Resultants . Example . 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 1 10 2013 3 . 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. . 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 . 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 . 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 . Introduction - Fixed clamped support the bar can neither translate nor rotate. A MA HA V A 1 10 2013 7 . Introduction 1 10 2013 8 . Introduction . Types of beams 1 10 2013 9 . 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 gt Only 3 internal stress x Mx resultants exert on this plane zoy . Nz axial force N Qy shear force Q NZ z Mx - bending moment M Qy y 1 10 2013 10 . Internal force Resultants To determine the internal force resultants gt Using the method of sections.
