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| Name | Deflection & Slope - Cantilever Beam with a Point Load at the Free End |
| Video Uploader | Video From Eurocoded |
| Upload Date | This Video Uploaded At 01-05-2018 07:30:00 |
| Video Discription | This video shows how you can calculate deflection and slope of a cantilever beam with a point load at the free end using the double integration method. Differential Equation of the Elastic Curve :- https://youtu.be/OSwx-PN8J18 Sign Convention: Bending Moment, Axial Force & Shear Force: https://youtu.be/m9Ecdii47Fk 1/R = M/EI: https://youtu.be/lkCXicMXcy4 How to Derive Bending Equation aka Flexural Formula: https://youtu.be/lkCXicMXcy4 Strain (ε), Stress (σ) and Radius of Curvature (R): https://youtu.be/rDbtM4H0ig0 M - Bending moment L - Length of the beam F - Force applied to the free end of the centilever beam dy/dx - Slope E - Modulus of elasticity I - Moment of inertia EI - Flexural stiffness 0:23 - Differential equation of the elastic curve Assumptions used to derive the differential equation of elastic curve: 1) Beam is stressed within the elastic limit i.e. stress is proportional to strain (Hooks law). 2) Beam curvature is very small. 3) Deflection resulting from the shear deformation of the material or shear stresses is neglected. 4) Simple bending theory (i.e. bending equation) is valid. Theory behind the bending equation derivation has been developed for pure bending. Important points: a) Plane sections remain after bending. b) Beam material is homogenous and isotropic. c) Beam is symmetrical about the plane of bending. d) The stress-strain relationship is linear and elastic. e) Young’s modulus remains the same for tension and compression. f) Beam is initially straight and shape remains the same along the beam. Pure bending: Stresses in an element caused by a bending moment applied to the element without axial, shear or torsion forces acting on the element. #Slope #Deflection #PointLoad #CantileverBeam Design to Eurocodes: EN 1990 (EC0) - Basis of structural design Design to Eurocode 1 - EN 1991 (EC1) - Actions on structures Design to Eurocode 2 - (EN 1992 EC2) - Design of concrete structures including concrete bridges Design to Eurocode 3 - (EN 1993 EC3) - Design of steel structures including steel bridges Design to Eurocode 4 - (EN 1994 EC4) - Design of composite steel & concrete structures including composite bridges Design to Eurocode 7 - (EN 1997 EC7) - Geotechnical design Terms of use in addition to "Standard YouTube Licence": http://www.eurocoded.com/mod/page/view.php?id=16 |
| Category | Education |
| Tags | cantilever steel beam design | beam stress calculator | structural beam calculations examples | beam formulas | beam deflection calculator | deflection | deflection of beams | cantilever beam | cantilever beam deflection | beam bending | beam deflection formula | bending stress | deflection formula | bending stress formula | cantilever beam bending moment | bending moment formula | cantilever deflection | deflection calculator | structural beam formulas | Eurocodes | iStructE | Point Load | Free end |
