Structural Supports - Structural Engineering
DrOfEng
This Structural Engineering video explains the common types of structural supports in terms of their restraints, displacements and rotations. Examples are pinned, fixed and rigid.
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Beam, Column, Truss, Strut, Tie, Cable, Structural Elements - Structural Engineering
DrOfEng
This Structural Engineering video describes the common types of structural members and their load bearing mechanisms. Examples include beams, columns, beam-columns, struts and ties.
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Truss, Frame, Arch, Cable-Stayed Bridge, Common Structures - Structural Engineering
DrOfEng
This Structural Engineering video describes the common types of structures and their load bearing mechanisms. Examples include trusses, frames, arches and cable-stayed bridges.
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Static Equilibrium - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on the static equilibrium of a cantilever beam.
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Static Equilibrium, Statics, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on the static equilibrium of a simply supported beam.
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Static Equilibrium, Truss, Example - Structural Engineering
DrOfEng
This Structural Enginereing video covers a example problem on the static equilibrium of a simply supported truss.
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Method of Joints, Truss, Analysis - Structural Engineering
DrOfEng
This video explains the method of joints for determining the internal forces in truss members. A worked example is provided to illustrate the application of this method.
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Method of Sections, Truss, Analysis - Structural Engineering
DrOfEng
This video explains the method of sections for determining the internal forces in specific truss members. A worked example is provided to illustrate the application of this method.
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Method of Sections, Trusses, Example - Structural Engineering
DrOfEng
This Structural Enginering video covers a worked example problem on finding the internal forces in trusses.
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Truss, Stability, Determinacy, Analysis - Structural Engineering
DrOfEng
This video explains several conditions where a truss may be unstable. Examples include missing supports to provide the necessary reactions, lack of member bracing to prevent collapse or the support reactions pass through a common point.
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Bending Moment, Shear Force, ODEs, Beam - Structural Engineering
DrOfEng
This Structural Engineering video derives the equilibrium equations for beams. These relate the internal beam forces (shear forces and bending moments), which develop when a beam bends to support externally applied loads.
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Bending Moment, Shear Force, Discontinuities, Beams - Structural Engineering
DrOfEng
This Structural Engineering video explains jumps or discontinuities in the shear force and bending moment diagrams, which occur when there are point loads or couples acting on a beam.
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Bending Moment, Shear Force, Sign Convention - Structural Engineering
DrOfEng
The sign convention used for plotting shear force and bending moment diagrams is explained.
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Bending Moment, Shear Force, Beam, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in beams.
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Bending Moment, Shear Force, Beam, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in beams.
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Bending Moment, Shear Force, Beam, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in beams.
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Bending Moment Diagram, Shear Force, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in beams.
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Bending Moment Diagram, Shear Force, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in beams.
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Superposition, Bending Moment Diagram, Beam - Structural Engineering
DrOfEng
This Structural Engineering video explains the method of superposition using a worked example problem. This method expedites the plotting of shear force and bending moment diagrams where there are multiple loads acting on a beam.
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Bending Moment Diagrams, Shear Force, Beam - Structural Engineering
DrOfEng
This structural engineering video explains how to plot the shear force diagram for a beam from the bending moment diagram. An example is provided to illustrate the process.
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Bending Moment, Shear Force, Sign Convention, Frames - Structural Engineering
DrOfEng
This Structural Engineering video extends the shear force and bending moment sign convention for beams to frames. You can picture the sign convention for a column as that of a beam rotated by 90 degrees anti-clockwise.
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Bending Moment, Shear Force, Frame, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in frames.
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Bending Moment Diagram, Shear Force, Frame, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in frames.
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Bending moment, Shear Force, Frame, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the internal forces in frames.
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Superposition, Bending Moment Diagram, Frame - Structural Engineering
DrOfEng
This Structural Engineering video demonstrates the method of superposition, a powerful method for quickly plotting the bending moment diagram (BMD) of a frame, which can be subjected to multiple loads (e.g. both vertical and lateral). An example is provided to illustrate this method.
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Superposition, Shear Force Diagram, Frame - Structural Engineering
DrOfEng
This Structural Engineering video demonstrates the method of superposition, a powerful method for quickly plotting the shear force diagram (SFD) of a frame, which can be subjected to multiple loads (e.g. both vertical and lateral). An example is provided to illustrate this method.
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Shear Force from Bending Moment Diagram, Frame, Example - Structural Engineering
DrOfEng
This Structural Engineering video demonstrates how to plot the shear force diagram from the bending moment diagram using a worked example.
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Stability of Frames - Structural Engineering
DrOfEng
This Structural Engineering video explains how to determine if a frame is stable.
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Bending Moment Diagram, Shear Force, Frame - Structural Engineering
DrOfEng
This Structural Engineering video demonstrates how to plot the shear force and bending moment diagrams for a frame with oblique members using a worked example.
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Centroid of an Area - Structural Engineering
DrOfEng
This Structural Engineering video derives the centroid of an area using the same principle as the center of mass. The area form of the centroid appears in the stress analysis of beams.
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Centroid of a Composite Section - Structural engineering
DrOfEng
This Structural Engineering video derives the centroid of a composite area. The area form of the centroid appears in the stress analysis of beams.
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Centroid of a Triangle Section, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the centroid of a triangular area.
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Centroid of a T-Section, Example - Structural Engineering
DrOfEng
This Structural Enginering video covers a worked example problem on finding the centroid of a composite section.
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Centroid of Distributed Loads - Structural Engineering
DrOfEng
This Structural Engineering video explains how the centroid of an area can be used to find equivalent force resultants for distributed loads.
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Second Moment of Area - Structural Engineering
DrOfEng
This Structural Engineering video derives the second moment of area of a section.
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Parallel Axis Theorem - Structural Engineering
DrOfEng
This Structural Engineering video derives the parallel axis theorem using the second moment of area. The key advantages are:
a) The theorem can be used to compute a difficult second moment of area from a simpler one
b) The calculation of the second moment of area for a composite section is simplified
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Second Moment of Area, Parallel Axis Theorem, Triangle, Example -Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the second moment of area of a triangular section.
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Second Moment of Area, Parallel Axis Theorem, T-Section, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the second moment of area about the centroid of a T-section using composite sections and the parallel axis theorem.
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Second Moment of Area, Circle, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the second moment of area of a circular section.
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Polar Moment of Inertia, Circle, Worked Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the second moments of area of a circular section.
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Flexure Formula, Bending Stresses, Beams - Structural Engineering
DrOfEng
This Structural Engineering video derives the well known flexure formula, which relates the bending stresses in beams to the bending moment.
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Curvature, Cartesian Coordinates - Structural Engineering
DrOfEng
The curvature equation is derived in Cartesian coordinates and its approximation for structures is explained.
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Euler-Bernoulli Beam, Moment-Curvature Equation - Structural Engineering
DrOfEng
This Structural Engineering video explains the Euler-Bernoulli Beam and Moment-Curvature equation, deriving it from the analysis of the bending stress and strain of a deformed element of a beam. The equation is used extensively to calculate deflections and rotations in beams.
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Euler-Bernoulli Vs Timoshenko Beam, Kinematics (Part 1 of 2) - Structural Engineering
DrOfEng
This Structural Engineering video explains the kinematics of the Euler-Bernoulli and Timoshenko beams (part 1 of 2).
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Euler-Bernoulli Vs Timoshenko Beam, Statics (Part 2 of 2) - Structural Engineering
DrOfEng
This Structural Engineering video explains the statics of the Euler-Bernoulli and Timoshenko beams (part 2 of 2).
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Euler-Bernoulli Vs Timoshenko Beam, Cantilever, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example on comparing the deflection and rotation of the Euler-Bernoulli and Timoshenko beams.
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Euler-Bernoulli Vs Timoshenko Beam, Simply Supported, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example on comparing the deflection and rotation of the Euler-Bernoulli and Timoshenko beams.
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Moment Area Method, Beam Deflection - Structural Engineering
DrOfEng
This Structural Engineering video derives the moment area method, which is a quicker method to calculate the maximum deflection and slope in a beam.
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Moment Area Method, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the slope and deflection of a cantilever under a uniformly distributed load using the moment area method.
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Moment Area Method, Beam Deflection, Example - Structural Engineering
DrOfEng
This Strutural Enginering video covers a worked example problem on finding the slope and deflection of a simply supported beam under a point load using the moment area method.
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Moment Area Method, Beam Deflection, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the deflection of a simply supported beam with an overhang under a point load at the tip using the moment area method.
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Conjugate Beam Method, Beam Deflection - Structural Engineering
DrOfEng
This Structural Engineering video explains the conjugate beam method for finding the deflections in a beam using a worked example.
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Conjugate Beam Method, Beam Deflections, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the deflection of a simply supported beam under a point load using the conjugate beam method.
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Work and Energy Principles, Beam Deflections - Structural Engineering
DrOfEng
This Structural Engineering video explains the method for calculating the deflection of a beam using work and energy principles.
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Virtual Work, Beam Deflection - Structural Engineering
DrOfEng
This Structural Engineering video explains the principle of virtual work (specialised for a beam), which is also known as the unit load method. An example is provided to demonstrate the application of the method for finding the deflection in a beam.
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Virtual Work, Geometry, Linear Bending Moment Diagrams - Structural Engineering
DrOfEng
This video explains the general virtual work equation for linear bending moment diagrams. The equation can be directly used to find the volume between linear bending moment diagrams with triangular, rectangular and trapezoidal regions.
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Virtual Work, Beam Deflection, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the deflection of a simply supported beam using the principle of virtual work.
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Axial Stresses, Bars, Truss - Structural Engineering
DrOfEng
The stress, strain and elongation are derived for a truss bar element under uniaxial tension.
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Principle of Virtual Work, Truss Deflection - Structural Engineering
DrOfEng
This Structural Engineering explains the principle of virtual work for calculating the deflection in a truss.
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Virtual Work, Truss Deflection, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example on using the principle of virtual work for calculating the deflection at a truss joint.
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Complementary Shear Stress, Shear Formula, Shear in Beams - Structural Engineering
DrOfEng
This Structural Engineering video derives the shear formula using an equilibrium of forces.
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Complementary Shear Stress, Shear Formula, Shear in Beams, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on finding the complementary shear stress in a beam.
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Complementary Shear Stress, Composite Sections - Structural Engineering
DrOfEng
This Structural Engineering video demonstrates how to determine the complementary shear stress in composite sections.
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Shear Flow, Shear in Beams - Structural Engineering
DrOfEng
This Structural Engineering video describes shear flow and its relation to the complementary shear stress.
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Complementary Shear, Composite Section, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example problem on complementary shear stress in an I-beam section.
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Shear Formula, Limitations - Structural Engineering
DrOfEng
This Structural Engineering video explains the limitations of the shear formula.
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Shear Center, Beams - Structural Engineering
DrOfEng
This Structural Engineering video provides a qualitative explanation on determining the shear center for various beam sections.
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Shear Center, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example on determining the shear center for a channel section.
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Force Method, Indeterminate Structures - Structural Engineering
DrOfEng
This Structural Engineering video explains the force method for indeterminate structures using an example.
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Force Method, Example, Indeterminate Beam - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example on the force method for indeterminate structures.
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#structural #engineering #indeterminate
Force Method, Indeterminate Frames, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example on using the force method to plot the bending moment diagram for an indeterminate frame with pinned supports.
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Force Method, Indeterminate Truss, Example - Structural Engineering
DrOfEng
This Structural Engineering video covers a worked example on using the force method to find a member force in an indeterminate truss.
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Column Buckling, Euler Buckling Load, Braced Column - Structural Engineering
DrOfEng
This Structural Engineering video derives the Euler buckling load for a braced column.
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Column Buckling, Euler Buckling Load, Unbraced Column - Structural Engineering
DrOfEng
This Structural Engineering video derives the Euler buckling load for an unbraced column.
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Euler Buckling Load, Braced Column, Fixed-to-Pinned Supports - Structural Engineering
DrOfEng
This Structural engineering video derives the Euler buckling load for a braced column with fixed-to-pinned supports.
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Euler Buckling Load, Braced Column, Fixed-to-Fixed Supports - Structural Engineering
DrOfEng
This Structural Engineering video derives the Euler buckling load for a braced column with fixed-to-fixed supports.
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Column Buckling, Effective Length - Structural Engineering
DrOfEng
This Structural Engineering video visualises the effective length of columns with different buckled shapes and supports.
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Column Buckling, Slenderness Ratio - Structural Engineering
DrOfEng
This Structural Engineering video explains how the slenderness ratio is related to the buckling stress of a column.
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Torsion Formula, Shear Stresses, Shafts - Structural Engineering
DrOfEng
This Structural Engineering video derives the torsion formula for calculating the shear stresses in a circular shaft subjected to an applied torque.
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Angle of Twist - Engineering
DrOfEng
This engineering video cover a tutorial on deriving the angle of twist of a circular shaft subjected to an applied torque. The angle of twist is related to the shear strain, which is constant along the length of the shaft. The rate of twist can also be obtained by differentiating the angle of twist and is a useful quantity for also analysing shafts with a non-circular closed section under torsion.
Torsion of Thin-Walled Closed Sections - Engineering
DrOfEng
This engineering video covers a tutorial on how to derive the torsion formula for a shaft with a thin-walled closed section subjected to an applied torque. This torsion formula applies to thin-walled closed sections because the shear flow is constant and tangent to the boundary, and the shear stress can be assumed constant across the thickness of the wall. The section of the shaft may also have a non-uniform thickness.
Torsion in Cartesian Coordinates - Engineering
DrOfEng
This engineering video covers a tutorial on how to derive the torsional displacements in Cartesian coordinates for a shaft with a circular section subjected to an applied torque. The displacements are derived using Cartesian coordinates because they can be readily used to derive the stresses and strains for a shaft with a non-circular open section.
Stress and Strain Tensors in 3D - Engineering
DrOfEng
This engineering video covers a tutorial on how to derive and visualise the stress and strain tensors in 3D Cartesian coordinates. Stresses and strains develop internally in a body that is subjected to external loads. Multi-variable calculus is used to derive the axial and shear strains, which are the partial derivatives of the displacements. The shear deformations of an element cut out from a 3D body is sketched in the xy, xz and yz planes for better visualisation of the strain deformations.
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Torsion of a Non-Circular Shaft, Warping
DrOfEng
This engineering video covers a tutorial on how to derive the stresses and strains for the torsion of a non-circular shaft. The torsion of a non-circular shaft extends the torsion theory for a circular shaft from the strength of materials approach by introducing a warping function. Warping of the section counteracts the shear stress at the boundary of the shaft, which results in a zero complementary shear stress at the free surface.
Torsion Stress Function and Laplace Equilibrium PDE - Engineering
DrOfEng
This engineering video covers a tutorial on deriving the Laplace equilibrium partial differentiation equation for the torsion problem using a stress function to represent the shear stresses. The boundary condition must be satisfied, which is that the stress must be tangent to the section boundary to avoid a complementary shear stress on the free surface.
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Torsion, Non-Circular Open Sections, Torque Integral - Engineering
DrOfEng
This engineering video covers a tutorial on deriving the torque integral for the torsion problem which relates the stress function to the torque acting on the section. Integration by parts is used to derive the torque integral for the torsion problem.
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Torsion Problem, Summary and Validation - Engineering
DrOfEng
This engineering video covers a tutorial that provides a summary of the torsion problem and how to solve it in steps. The torsion problem is validated for the base case, namely the torsion of a circular shaft, and the solution is compared with that derived using the strength of materials approach.
Torsion of a Rectangular Bar, Example - Engineering
DrOfEng
This engineering video covers a tutorial on the torsion of a shaft with a rectangular section. A worked example is used to derive the torsion equation for a rectangular section, which is compared with that for a circular section.
Warping of I-Beams - Engineering
DrOfEng
This engineering video covers a tutorial on the warping of I-beams. The free warping assumption of I-beams is explained.
Torsion of I-Beams - Engineering
DrOfEng
This engineering video covers a tutorial on the torsion of I-beams which are not free to warp e.g. the beam may be restrained at one end.
Centroid of a Composite Section - Structural engineering
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