In engineering, an influence line graphs the variation of a function (such as the shear, moment etc. felt in a structural member) at a specific point on a beam or truss caused by a unit load placed at any point along the structure. Common functions studied with influence lines include reactions (forces that the structure’s supports must apply for the structure to remain static), shear, moment, and deflection (Deformation). Influence lines are important in designing beams and trusses used in bridges, crane rails, conveyor belts, floor girders, and other structures where loads will move along their span. The influence lines show where a load will create the maximum effect for any of the functions studied. Influence lines are both scalar and additive. This means that they can be used even when the load that will be applied is not a unit load or if there are multiple loads applied. To find the effect of any non-unit load on a structure, the ordinate results obtained by the influence line are multiplied by the magnitude of the actual load to be applied. The entire influence line can be scaled, or just the maximum and minimum effects experienced along the line. The scaled maximum and minimum are the critical magnitudes that must be designed for in the beam or truss. In cases where multiple loads may be in effect, influence lines for the individual loads may be added together to obtain the total effect felt the structure bears at a given point. When adding the influence lines together, it is necessary to include the appropriate offsets due to the spacing of loads across the structure. For example, a truck load is applied to the structure. Rear axle, B, is three feet behind front axle, A, then the effect of A at x feet along the structure must be added to the effect of B at (x – 3) feet along the structure—not the effect of B at x feet along the structure. Many loads are distributed rather than concentrated. Influence lines can be used with either concentrated or distributed loadings. For a concentrated (or point) load, a unit point load is moved along the structure. For a distributed load of a given width, a unit-distributed load of the same width is moved along the structure, noting that as the load nears the ends and moves off the structure only part of the total load is carried by the structure. The effect of the distributed unit load can also be obtained by integrating the point load’s influence line over the corresponding length of the structures. The Influence lines of determinate structures becomes a mechanism whereas the Influence lines of indeterminate structures become just determinate. (Wikipedia).
10 Relations (still with the not-so-exciting-stuff)
This video introduces relations between pairs of elements.
From playlist Abstract algebra
Gradient (2 of 3: Angle of inclination)
More resources available at www.misterwootube.com
From playlist Further Linear Relationships
What is an example of lines that are a linear pair
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Determine the values of two angles that lie on a lie with a third angle
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
What are the Angle Relationships for Parallel Lines and a Transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
What is an angle and it's parts
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
CCSS What is the Angle Addition Postulate
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/
From playlist Dr. Structure: Structural Analysis Video Lectures
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/
From playlist Dr. Structure: Structural Analysis Video Lectures
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/
From playlist Dr. Structure: Structural Analysis Video Lectures
ART HISTORY & DRAWING: 15 MINUTES with PICASSO
Marc spends 15 minutes with the drawings of PICASS0, Spanish artist and giant of the 20th century, (1881-1973).
From playlist ART HISTORY & DRAWING
Principal Component Analysis (PCA) clearly explained (2015)
NOTE: On April 2, 2018 I updated this video with a new video that goes, step-by-step, through PCA and how it is performed. Check it out! https://youtu.be/FgakZw6K1QQ RNA-seq results often contain a PCA or MDS plot. This StatQuest explains how these graphs are generated, how to interpret t
From playlist High Throughput Sequencing
SA34: Influence Line in Trusses
This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: https://courses.structure.education/ In addition to updated, expanded, and better organized video lectures, the course contains quizzes and other learning content. Solution
From playlist Dr. Structure: Structural Analysis Video Lectures
THE BASICS: Concepts in Drawing Drapery+Fabric+Cloth (LECTURE ONLY)
Marc describes and discusses concepts relevant to drawing drapery+fabric+cloth. What is Fabric? Using the Cylinder in all Fabric drawing What is the form influencer of the cloth being drawn? Pitch&Roll and High&Low! LVEC
From playlist THE BASICS
Statistical Rethinking 2023 - 05 - Elemental Confounds
Course details: https://github.com/rmcelreath/stat_rethinking_2023 Intro drone footage: https://www.youtube.com/watch?v=a4CKOjGPzRs Intro music: https://www.youtube.com/watch?v=USIwUgM_yuQ Outline 00:00 Introduction 04:35 The Fork 26:50 Simulating interventions 31:40 Pause 32:12 The Pipe
From playlist Statistical Rethinking 2023
How JavaScript and TypeScript is heavily influenced by Pascal (waaaay more than it gets credit for).
in this video, chris looks at the influence Pascal and C has had on JavaScript and TypeScript. Spoiler, it's a lot more than it gets credit for. We have some fun look at some of the language features of Pascal that have heavily influenced early JavaScript and even TypeScript. The featur
From playlist Javascript
Statistical Rethinking 2022 Lecture 05 - Elemental Confounds
Slides and other course materials: https://github.com/rmcelreath/stat_rethinking_2022 Music: Intro: https://www.youtube.com/watch?v=bct8stbZafI Pause: https://www.youtube.com/watch?v=zT50dvlYUBQ Chapters: 00:00 Introduction 04:15 Elemental Confounds 05:45 The Fork 30:48 The Pipe 40:18 In
From playlist Statistical Rethinking 2022
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships