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. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

This Structural Engineering video covers a worked example problem on finding the internal forces in beams. Post your comments/questions below and please subscribe.

This Structural Engineering video covers a worked example problem on finding the internal forces in beams. Post your comments/questions below and please subscribe.

This Structural Engineering video covers a worked example problem on finding the internal forces in beams. Post your comments/questions below and please subscribe.

This Structural Engineering video covers a worked example problem on finding the internal forces in beams. Post your comments/questions below and please subscribe.

This Structural Engineering video covers a worked example problem on finding the internal forces in beams. Post your comments/questions below and please subscribe.

The sign convention used for plotting shear force and bending moment diagrams is explained. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

This Structural Enginering video covers a worked example problem on finding the internal forces in trusses. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

This Structural Enginereing video covers a example problem on the static equilibrium of a simply supported truss. Post your comments/questions below and please subscribe.

This Structural Engineering video covers a worked example problem on the static equilibrium of a simply supported beam. Post your comments/questions below and please subscribe.

This Structural Engineering video covers a worked example problem on the static equilibrium of a cantilever beam. Post your comments/questions below and please subscribe.

This Structural Engineering video describes the common types of structures and their load bearing mechanisms. Examples include trusses, frames, arches and cable-stayed bridges. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

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. Post your comments/questions below and please subscribe.

This video provides a quick revision of Unit 2 of AP Physics C (Mechanics) on Newton's Laws of Motion in under 35 mins, using worked examples to reinforce the concepts you learned in class. Fast Revision (under 35 mins) 4 Topics Worked Examples Be sure to pause the video before you attempt each practice problem and post your questions in the comments. Topics Covered: 2.0 Vectors 2.1 Newton’s First and Second Laws of Motion 2.2 Circular Motion 2.3 Newton’s Third Law of Motion Alternatively, you can skip over to each individual topic using the following playlist https://youtube.com/playlist?list=PLm_WLG6GdV3tryAF16qNS04CHMqs5pym8 This video is part of Unit 2 of AP Physics C (Mechanics) on Newton's Laws of Motion. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.

This video provides a quick revision of Unit 1 of AP Physics C (Mechanics) on Kinematics in under 25 mins, using worked examples to reinforce the concepts you learned in class. Fast Revision (under 25 mins) 2 Topics Worked Examples Be sure to pause the video before you attempt each practice problem and post your questions in the comments. Topics Covered: 1.1 Kinematics: 1D Motion 1.2 Kinematics: 2D Motion Alternatively, you can skip over to each individual topic using the following playlist https://youtube.com/playlist?list=PLm_WLG6GdV3tM7pX4jRoHG89Fenfxo2yU This video is part of Unit 1 of AP Physics C (Mechanics) on Kinematics. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.

This video provides a quick revision of Unit 10 of AP Calculus BC on Infinite Sequences and Series in 1 hour, using worked examples to reinforce the concepts you learned in class. Infinite Sequences and Series is also a topic covered in Calculus 2. Fast Revision (1 hour) 16 Topics Worked Examples Be sure to pause the video before you attempt each practice problem and post your questions in the comments. Topics Covered: 10.0 Infinite Sequences, Convergence, Divergence 10.1 Infinite Series, Convergence, Divergence 10.2 Geometric Series 10.3 nth Term Test, Divergence 10.4 Integral Test, Convergence 10.5 Harmonic Series and p-series 10.6 Comparison Tests, Convergence 10.7 Alternating Series Test, Convergence 10.8 Ratio Test, Convergence 10.9 Absolute and Conditional Convergence 10.10 Alternating Series, Error Bound 10.11 Taylor Polynomials, Approximating Functions 10.12 Lagrange Error Bound 10.13 Power Series, Radius and Interval of Convergence 10.14 Taylor and Maclaurin Series 10.15 Representing Functions as Power Series 10.16 Optional Problems (BONUS) Alternatively, you can skip over to each individual topic using the following playlist https://youtube.com/playlist?list=PLm_WLG6GdV3uPv7ye7mHnPqMB5K1qNOS8 This video is part of Unit 10 of AP Calculus BC on Infinite Sequences and Series. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.

This video provides a quick revision of Unit 9 of AP Calculus BC on Parametric Equations, Polar Coordinates and Vector-Valued Functions in under 30 mins, using worked examples to reinforce the concepts you learned in class. Parametric Equations, Polar Coordinates and Vector-Valued Functions is also a topic covered in Calculus 2. Fast Revision (under 30 mins) 9 Topics Worked Examples Be sure to pause the video before you attempt each practice problem and post your questions in the comments. Topics Covered: 9.1 Defining and Differentiating Parametric Equations 9.2 Parametric Equations, Second Derivative 9.3 Arc Length of Parametric Curves 9.4 Vector-Valued Functions, Definition, Derivatives 9.5 Vector-Valued Functions, Integration 9.6 Vector-Valued Functions, Solving Motion Problems 9.7 Polar Coordinates Definition, Differentiation 9.8 Area of Bounded Polar Region, Single Polar Curve 9.9 Area of Polar Region between Two Polar Curves Alternatively, you can skip over to each individual topic using the following playlist https://youtube.com/playlist?list=PLm_WLG6GdV3uE_wrw-hCHBPCPX3DvUX8b This video is part of Unit 9 of AP Calculus BC on Parametric Equations, Polar Coordinates and Vector-Valued Functions. You can contact me through the comments and community section, or email me at drofeng@gmail.com for questions.