TAILIEUCHUNG - 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 . 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 => Only 3 .

• Kiến trúc - Xây dựng
• Strength of Materials
• Sức bền vật liệu
• Bài giảng Sức bền vật liệu
• Axial force
• Shear force
• Bending moment
• Internal stress resultants
• Finite element modelling
• Rectangular concrete filled steel tube stub columns incorporating high strength
• Ultra high strength materials
• Concentric axial compression
• Axial compression
• Theory and problems of strength of materials
• Statically indeterminate force systems tension
• Direct shear stresses
• Moments of inertia
• Lecture Strength of materials
• Modulus of elasticity
• Statically indeterminate systems
• Statically indeterminate
• Stress transformation
• Plane stress state
• Transformation of plane stress
• Failure theories
• Permanently distorted
• Ductile material deforms
• Properties of cross sections
• Center of gravity – centroid
• Moment of Inertia of an area
• Radius of gyration
• Beam deflection
• Beam under transverse loading
• Statically indeterminate beams
• Torsional loads on circular shafts
• Torsion of noncircular members
• Helical spring under axial load
• Combined loading
• Eccentric axial loadings
• General combined loadings
• The secant formula
• Stability of structures
• Eccentric loadings
• Cementitious materials
• high strength concrete
• Strength required
• Placing procedures
• Splitting tensile strength
• Concentrically loaded columns
• Selected topics on strength
• The strength of materials
• Basic hypothesis
• Internal forces
• Three dimensional state
• Dimensional state
• Deflection of beams
• Bending stress
• Shearing stress
• Strength condition
• Torsional loads
• Circular shafts
• Engineering materials
• Their properties
• Price and availability
• The elastic moduli
• Yield strength
• Tensile strength
• Fast fracture
• Toughness and fatigue
• Mechanical engineering principles
• Forces acting at a point
• Forces in structures
• Analysis of stress
• The elastic limit
• Deflection of transversally leaded beams
• Statically indeterminate problems
• Energy of strain
• Combines bending
• Helical spring
• Close coiled
• Critical load
• Applied strength of materials
• Engineering stress
• Thermal expansion
• Properties of areas
• Torsion in round shafts
• Beam reactions
• Shear diagrams
• Moment diagrams
• Stresses in beams
• Combined stresses
• Visualizing stress
• Elastic deflection
• Double integration method
• Plastic deformations
• Mechanics and strength of materials
• The stress tensor
• The strain tensor
• Constitutive law
• Fundamental concepts
• Bending deflections
• Structural stability
• Energy theorems
• The total potential energy