Macaulay’s method (the double integration method) is a technique used in structural analysis to determine the deflection of Euler-Bernoulli beams. Use of Macaulay’s technique is very convenient for cases of discontinuous and/or discrete loading. Typically partial uniformly distributed loads (u.d.l.) and uniformly varying loads (u.v.l.) over the span and a number of concentrated loads are conveniently handled using this technique. The first English language description of the method was by Macaulay. The actual approach appears to have been developed by Clebsch in 1862. Macaulay's method has been generalized for Euler-Bernoulli beams with axial compression, to Timoshenko beams, to , and to problems in which the bending and shear stiffness changes discontinuously in a beam. (Wikipedia).
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How To Use Newton's Method from Calculus. An easy example using the formula.
From playlist Calculus
Euler’s method - How to use it?
► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,
From playlist Differential Equations
Beginners Guide to Newton's Method in Calculus - Chris Tisdell Live Stream
A beginner's guide to Newton's Method in calculus. Here we look at the basic ideas including an example of how to approximation solutions to equations using tangent lines.
From playlist Calculus for Beginners
C46 Solving the previous problem by another method
There are more ways than one to solve Cauchy-Euler equations. In this video I revert to the substitution method.
From playlist Differential Equations
More videos like this online at http://www.theurbanpenguin.com We now look at how we can use and define methods in ruby to help keep the code tidy and concise. This also helps with readability of the code and later maintenance. In the example we use we take the decimal to ip address conver
From playlist RUBY
Understanding the Deflection of Beams
Sign up for Brilliant at https://brilliant.org/efficientengineer/, and start your journey towards calculus mastery! The first 200 people to sign up using this link will get 20% off the annual premium subscription! In this video I take a look at five methods that can be used to predict how
From playlist Mechanics of Materials / Strength of Materials
Reflections: Science and Religion, Natural and Unnatural
Dwight H. Terry Lectureship October 26, 2006 Reflections: Science and Religion, Natural and Unnatural Barbara Herrnstein Smith is Braxton Craven Professor of Comparative Literature and English and director of the Center for Interdisciplinary Studies in Science and Cultural Theory at
From playlist Terry Lectures
Solving a trigonometric equation with applying pythagorean identity
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Euler's method for solving non-separable differential equation by approximation.
From playlist Advanced Calculus / Multivariable Calculus
[Calculus] Newton's Method || Lecture 36
Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any que
From playlist Calculus 1
Fixed Income: Analytical Convexity; aka, modified convexity (FRM T4-41)
In this video, I will show you how to calculate modified convexity by matching the modified convexity that Tuckman shows in Table 4.6 in Chapter 4 of his book, Fixed Income Securities. 💡 Discuss this video here in our forum: https://trtl.bz/2YBEHeB. 📗 You can find Tuckman's Fixed Income
From playlist Valuation and RIsk Models (FRM Topic 4)
Fixed Income: Impact of Yield and Coupon on Duration and DV01 (FRM T4-39)
The previous videos in this playlist have illustrated how we calculate the two most popular measures of single-factor interest rate sensitivity, that is duration and dv01, also called price value of the basis point. Now, knowing how these calculations work we will apply them to understand
From playlist Valuation and RIsk Models (FRM Topic 4)
Beginners Guide to Newton's Method in Calculus More Examples - Chris Tisdell Live Stream
A beginner's guide to Newton's Method in calculus. Here we look at the basic ideas including an example of how to approximation solutions to equations using tangent lines.
From playlist Calculus for Beginners
Fixed Income: Simple bond illustrating all three durations (effective, mod, Mac) (FRM T4-36)
Macaulay duration is the bond's weighted average maturity (where the weights are each cash flow's present value as a percent of the bond's price; in this example, the bond's Macaulay duration is 2.8543 years. Modified duration is the true (best) measure of interest rate risk; in this examp
From playlist Valuation and RIsk Models (FRM Topic 4)
Commutative algebra 62: Cohen Macaulay local rings
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define Cohen-Macaulay local rings, and give some examples of local rings that are Cohen-Macaualy and some examples that are
From playlist Commutative algebra
Modified duration of zero-coupond bond (FRM practice question)
A zero-coupon bond with maturity of ten (10) years has a 6% bond-equivalent yield (semi-annual compounding). What is the bond's modified duration?
From playlist Bonds: Sensitivities
Fixed Income: Duration and Convexity Summary (FRM T4-42)
In this playlist, I've already recorded at least ten videos on duration and convexity which are the two most common measures of single-factor interest rate risk. So, in this video, we wrap it up in one simple explanation that tries to illustrate both duration and convexity and how we apply
From playlist Valuation and RIsk Models (FRM Topic 4)
Tropical Geometry - Lecture 10 - Matrix Rank | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
Alfred Noël - Molien Series and a Recent Theorem of Kostant
Research lecture at the Worldwide Center of Mathematics
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Beginners Guide to Newton's Method in Calculus Examples - Chris Tisdell Live Stream
A beginner's guide to Newton's Method in calculus. Here we look at the basic ideas including an example of how to approximation solutions to equations using tangent lines.
From playlist Calculus for Beginners