- Index notation equilibrium 3d elastic structure manual#
- Index notation equilibrium 3d elastic structure professional#
- Index notation equilibrium 3d elastic structure series#
nodal constraints - boundary conditions.model dimensions and degrees-of-freedom.Uniform Sine-Wave Sine-wave acceleration input Same acceleration input at all nodes restrained in specified direction Multiple-Support Sine-Wave Sine-wave displacement input Different displacements are specified at particular nodes in specified directions Uniform Earthquake Earthquake (from file) acceleration input Same acceleration input at all nodes restrained in specified direction Multiple-Support Earthquake Earthquake (from file) displacement input Different displacements are specified at particular nodes in specified direction Bidirectional Earthquake Different inputs are specified for two directions Same acceleration input at all nodes restrained in specified direction Simulation Process Time-Dependent Dynamic Loads Transient analysis Four types The following types of lateral loads are represented in these examples: *RC Rectangular Section *Standard AISC W section Lateral Loads
Index notation equilibrium 3d elastic structure series#
Stress-Strain characteristics via the OpenSees UniaxialMaterial Command for all number of materials Section geometry via series of Patches and Layers in the fiber section Two Section Geometries are presented The program calculates the coupled flexural and axial stiffnesses/strength by integrating strains across the section The OpenSees Fiber Section Command is used User specifies Uniaxial Section The inelastic, uncoupled, axial and flexural stiffnesses are defined at the section level The OpenSees Uniaxial Section Command is used User specifies:Īxial stiffness A Section Moment-Curvature characteristics via the OpenSees UniaxialMaterial Command Fiber Section The section is broken down into fibers where uniaxial materials are defined independently. Inelastic Elements OpenSees Force-Based Beam-Column Element Two types of sections The following types of models are represented in these examples:Įlastic Elements OpenSees Elastic Beam Column Element The elastic, uncoupled, axial and flexural stiffnesses are defined at the element level user specifies: E,I,A NOTE: gravity analysis is always included as part of the model building
Index notation equilibrium 3d elastic structure manual#
The examples in this manual are listed in order of simplicity. 9 Section Modeling And Analysis Examples.generic 3D Frame, NStory NBayX NBayZ, Reinforced-Concrete Section & Steel W-Section 3D Frame, 3-story 3-bayX 3-bayZ, Reinforced-Concrete Section & Steel W-Section 8 3D Structural Modeling & Analysis Examples.generic 2D Frame, N-story N-bay, Reinforced-Concrete Section & Steel W-Section 2D Frame, 3-story 3-bay, Reinforced-Concrete Section & Steel W-Section 7 2D Structural Modeling & Analysis Examples.Nonlinear Cantilever Column: Inelastic Uniaxial Materials in Fiber Section Nonlinear Cantilever Column: Uniaxial Inelastic Section Readership: Researchers, academics and professionals in the field of engineering mechanics and classical mechanics, and students pursuing a degree/diploma in engineering and applied mathematics.
Index notation equilibrium 3d elastic structure professional#
This unique compendium is suitable for a degree or diploma course in engineering and applied mathematics, as well as postgraduate and professional researchers. Hyper- and hypo- elasticity theories differ in that the former is restricted to its thermodynamic basis while the latter pervades many an observed response with its release from thermal restriction, but only at the risk of contravening the laws of thermodynamics. Non-metals do not when the law connecting stress to strain is expressed in polynomial, exponential and various empirical, material specific forms. Metals and their alloys confirm dutifully to Hooke's law. Mechanics of Elastic Solids shows that the elastic response of solid materials has many forms. Thereafter, the equivalence between the inidicial, symbolic and matrix notations used for tensors is illustrated in the preparation for specific types of material behaviour to be expressed, usually as a response function from which a constitutive stress-strain relation follow. Firstly, the underpinning mathematics of vectors and matrices is covered. This book examines the issues across the breadth of elasticity theory.