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Structural Mechanics @ BSc Civil Engineering
Welcome!
Introduction
Subjects
Statics
Model
Elements
Coordinate system
Loads
Section forces
Supports
Hinges
Free body diagrams
Structures
Displacement of rigid bodies in a mechanism
Differential equations for equilibrium relations
… for extension
… for bending
… for cables
… for torsion
Virtual work
Resolution of forces
Solve equilibrium
… of a planar particle
… of a 3D-particle
… of a body
… of a 3D-body
… of a body in torsion
Solve support reactions for statically determinate structures
… using equilibrium
Solve section forces truss structure
… with zero-force members
… using equilibrium in a specific cross-section
Solve section forces frame structures
… using equilibrium in a specific cross-section
Diagrams
Exercises hinged beam
Exercises clamped beam
… using differential equations
Solve section forces and shape cable
… using equilibrium in a specific cross-section
… using differential equations
Solve section forces torsion structures
… using equilibrium in a specific cross-section
Diagrams
… using differential equations
Solve structures using virtual work
Stresses and displacements
Model
Normal stress-strain relations
Shear stress-strain diagram
Fibre model
Small rotations bar element
Cross-sectional properties
Static moment, centroid and normal force centre
Second moment of area and Section modulus
Polar moment of inertia
Torsional moment of inertia thin-walled tubes
Shear force centre
Core of a cross-section
Strain diagram
… for extension
… for bending
… for torsion
Kinematic relations
… for extension
… for bending
… for torsion in circular cross-sections and thin-walled tubes
Constitutive relations
… for extension
… for bending
… for torsion
… for temperature influences
Solve stresses in an extension element
Normal stresses
Solve stresses in a bending element
Normal stresses
Shear stresses
Solve stresses in a torsional element
… in a thin-walled circular cross-section
… in solid circular bars and thick-walled circular tubes
… in a closed thin-walled non-circular cross-section
… in open thin-walled cross-sections
… for various cross-sections in combination with shear force
Solve displacements truss structures
… using constitutive equation
… using differential equations
… using Williot
Solve displacements frame structures
… using differential equations
… using forget-me-nots
Solve displacements circular and thin-walled tubes for structures in torsion
… using constitutive equation
… using differential equations
Solve displacements statically determinate structures subjected to temperature influences
Statically indeterminate structures
Static indeterminancy
Apply force method
… for truss structures
… for frame structures
… for frame structures with movable nodes
Apply displacement method
Solve structures subjected to support settlement
Solve structures subjected to stiffness influences
Solve structures subjected to temperature influences
Continuum mechanics
Model
Stresses in 3D
Strains in 2D
Tensors
Stress-Strain relations
Transformations
Analytical
Graphical
Failure
Buckling
Tools
SymPy in general
SymPy for solving Euler-Bernoulli
Miscellaneous
Bibliography
Index
Credits and License
Repository
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Solve support reactions for statically determinate structures
Solve support reactions for statically determinate structures
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… using equilibrium
