TAILIEUCHUNG - Lecture Strength of Materials I: Chapter 3 - PhD. Tran Minh Tu

Chapter 3 - Axially loaded members. The following will be discussed in this chapter: Normal stress and normal strain, tension and compression test, poisson’s ratio, shearing strain, allowable stress – factor of safety, statically indeterminate problem. | STRENGTH OF MATERIALS 1 10 2013 TRAN MINH TU - University of Civil Engineering 1 Giai Phong Str. 55 Hai Ba Trung Dist. Hanoi Vietnam Axially loaded CHAPTER members 3 1 10 2013 2 Contents . Introduction Stress and Normal Strain . Tension and Compression Test . Poisson s ratio . Shearing Strain . Allowable Stress Factor of Safety . Statically Indeterminate Problem 1 10 2013 3 . Introduction Suitability of a structure or machine may depend on the deformations in the structure as well as the stresses induced under loading. Statics analyses alone are not sufficient. Considering structures as deformable ones allows us to determinate the member forces and reactions which are statically indeterminate. Determination of the stress distribution within a member also requires the consideration of deformations in the member. Chapter 3 is concerned with the stress and deformation of a structural member under axial loading. Later chapters will deal with torsional and pure bending loads. 1 10 2013 4 . Introduction Prismatic bar Straight structural member with the same cross- section throughout its length Axial force Load directed along the axis of the member Axial force can be tensile or compressive Axially loaded members are structural components subjected only to axial force tension or compression 1 10 2013 5 . Introduction 1 10 2013 6 . Introduction Axial force diagram Using the method of section the internal axial force is obtained from the equilibrium as a function of coordinate z Z 0 N z . Kinematic assumptions Before deformation After deformation 1 10 2013 7 . Normal stress and normal strain Kinematic assumptions 1. The axis of the member remains straight 2. Cross sections which are plane and are perpendicular to the axis before deformation remain plane and remain perpendicular to the axis after deformation. And the cross sections do not rotate about the axis Normal stress Nz z z const A normal stress at any point on the .

• Cơ khí - Chế tạo máy
• Strength of Materials
• Sức bền vật liệu
• Bài giảng Sức bền vật liệu
• Axially loaded members
• Normal stress
• Normal strain
• 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
• Bending moment
• 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
• Shear force
• Bending deflections
• Structural stability
• Energy theorems
• The total potential energy