These are the latest published posts for the home page
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19-Solutions for Block Shear-Coped Beam Problems
The post includes two solved problems for block shear-coped beam. The first solved problem for UBS =1 and the second solved problem for UBS=1/2.
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18-The Effective Area for a Built-Up Section
The Effective Area for a Built-Up Section. In this post, we will check a practice problem for a built-up section, which is problem no.3-19 quoted from Prof. Mccormack’s book-fifth edition. It is required to compute the effective net area of the built-up section shown in fig 3-19. If the holes are punched for 3/4 inches. …
The home page published posts for Bolted Connection.
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7A- Solved problem 12-1-part 2-connection nominal load.
solved problem 12-1-part 2. How to use table 7-4 to calculate the bearing nominal load? What will be the final factored nominal load?
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7- A solved problem 12-1 for bearing connections.
Solved problem 12-1. it is required to estimate the design strength of a bearing type connection. All the values of nominal loads due to failure modes are estimated.
The compression members’ posts include 28 posts with full descriptions and solved examples with descriptive images.
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28-Solved problem 4-14 part 2 for effective length factor.
Solved problem 4-14 part 2 for the effective length factor, estimate k effective length factor with respect to the inelastic buckling.
Engineering Economy
Engineering economy is an important subject, and the posts include the definition and solved problems. the total number of posts is 13 posts, the last four posts are shown next.
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13-Solved problems, Deposit value for uniform series.
Two solved problems, How to find deposit value for uniform series? detailed illustrations for the solved problems are given.
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12-Solved problem-Future value for uniform series deposits.
A solved problem, How to find Future value for uniform series deposits? three different methods are used, Cash flow moments, interest table, Excel function.
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11a- Derive the P and F relation as cash flow moment.
In this post, we will derive Derive the P and F relation as cash flow moment. Two Solved problems are given to illustrate the idea.
The home page published posts for discrete Math.
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8-Complements of a set, Cumulative, associative of sets.
The complement of a set, cumulative, associative distributive properties of sets, What are the ordered pairs? solved examples are included.
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7-Universal set Subsets of sets.
What are the subsets of sets and the universal set?solved problems are given for these items.
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6- Easy approach what is Roster notation for sets?
Introduction to Roster notation. the symbols that are used with given solved examples.
The first moment of area-plain shapes
A complete illustration for the first moment of area, how to determine the area by the integration? How do we get the distance of Cg for a given axis? Plain areas are illustrated.
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9- Easy approach to Area and Cg for a Parallelogram.
The post includes the steps needed to get the area and Cg for a Parallelogram. This is done by getting the first moments of areas about two external axes.
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8- Easy illustration for Area and Cg of a Trapezium.
The post includes the steps needed to get the area and CG of a Trapezium. This is done by getting the first moments of areas about two external axes.
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7- How to find Area and Cg for a rectangle?
How to determine the area and Cg for a rectangle? The rectangle area and GC values are obtained by integration of infinitesimal area about external axes.
The first moment of area-round shapes posts.
A complete illustration for the first moment of area, for round shapes. Shapes include circles, tubular shafts, and semi-circles.
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5-How to find the area and Cg for a circular segment?
How do you determine the area and Cg for a circular segment? We will deduct the area of two triangles from the area of the circular sector.
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4-How to find the area and Cg for a circular sector?
How do you determine the area and Cg for a circular sector? Use the integration of small area dA to get the value of the area and the Cg distance.
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3-How to find the area and Cg for a semi-circle?
How do you determine the area and Cg for a semi-circle? Use the integration of small area dA to get the value of the area and the Cg distance.
Introduction to structural steel posts.
This category includes the basic data for structural steel, what is the information for steel sections? how do we estimate the LRFD and ASD design loads for steel members?
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5- A solved problem for Load combination.
In this post, we have a solved problem for load combination. In which Dead load& floor live load & roof live load and snow load are given, it is required to estimate the load combinations.
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4- Easy introduction to structural loads-LRFD and ASD.
A discussion of the various types of structural loads is introduced. An introduction to LRFd and Asd design is given.
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3-Structural steel sections-an easy approach.
The post includes a discussion about the structural steel sections, the symbols used for each section, and the main differences in-between.
Moment of inertia posts.
The Moment of inertia is an important subject in statics. The posts include how to find the proofs of the values of inertia for different common shapes.
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22- Easy illustration of Iy for the Trapezium.
Moment of inertia Iy for the Trapezium, How to get the Iy value for the trapezium? and how to get the polar of inertia?
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21- How to find Moment of Inertia Iy for Parallelogram?
Moment of inertia Iy for parallelogram. For a more detailed view, please click on each image to enlarge it. You can also review a slide show for all the images. Divide into areas and estimate inertia for each individual area about the y-axis. The post includes how to estimate the moment of inertia Iy for …
21- How to find Moment of Inertia Iy for Parallelogram? Read More »
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20-How to get a moment of Inertia Ix for Parallelogram?
Moment of inertia Ix for parallelogram. You can click on any picture to enlarge then press the small arrow at the right to review all the other images as a slide show. Divide into areas and estimate inertia for each individual area about the x-axis. The post includes how to estimate the moment of inertia …
20-How to get a moment of Inertia Ix for Parallelogram? Read More »
Linear algebra-matrices posts.
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9- How to Use a matrix for the quadratic function?
How to Use a matrix for the quadratic function? Three solved problems are used to find the quadratic functions by using a matrix.
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8-Practice problem for reduced echelon form.
Practice problem for reduced echelon form. How to determine whether the given matrix is in R echelon form or not? The second part is Application for traffic flow by matrix.
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7b- Practice problems for Gauss Jordan elimination.
Practice problems for Gauss Jordan elimination are introduced. Step by step guide for solving these problems.
Numerical analysis
The numerical analysis falls into several subdivisions, as follows
Introduction to numerical analysis.
Solving non-linear equations posts.
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9-Maximum deflection distance by Newton-Raphson method.
Maximum deflection distance for a simply supported beam under triangular load numerically. How to use the Newton-Raphson method for root findings?
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8- Structural analysis numerically by Newton-Raphson method.
Perform structural analysis using the Newton-Raphson method for a beam under uniformly distributed load and get the maximum deflection point location.
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7- An Easy guide to Modified Newton-Raphson method.
The Modified Newton-Raphson method is another method for root finding. A simple modification to the previous method of Newton -Raphson was introduced.
Solution of linear equations-Numerical analysis.
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14a-Solution of linear systems by LU-partial pivoting-2/2
linear systems by LU-partial pivoting-2/2. We will estimate the inverse of matrix A to get the values of the three unkowns.
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14-Solution of linear systems by LU-partial pivoting-1/2.
This is the first part of the solution of linear systems by LU-partial pivoting. We want to find the value of the three unknowns by using Lu-partial pivot
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13-How to get x1,x2,x3-using Gaussian-partial pivoting?
In this post, we have a discussion, new solved problem for which our concern is How to get x1,x2,x3-using Gaussian-partial pivot?. we have a partial pivot at due to zero value of a11.
Interpolation.
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2d-Solved problems for Newton-divided differences
Two Solved problems for Newton-divided differences are given for more information about the method.
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2c- What is Newton-divided difference interpolation?
Learn about deriving the expression of Newton-Divided difference interpolation function and how to derive the expression.
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2b- Solved problems for quadratic interpolation
Solved problems for quadratic interpolation. In both two solved problems three points, are given and used to get the quadratic interpolation function.
Steel Beams.
The steel beams posts have 40 posts, with solved problems and illustrative images.
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List of Steel beam Posts-part-4.
Steel beam posts-part-4. from steel beam post 31 to post 40. For all different subjects for the steel beams and solved problems.
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List of Steel beam Posts-part-3.
Steel beam posts-part-3 includes the posts from post 21 to post 30. For all different subjects for the steel beams and solved problems.
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List of Steel beam posts-part-2
List of Steel beam Posts-part-2 for all the different items for the structural steel beams included and solved problems.
Tension Members.
There are 20 posts for the Tension members containing illustrations and solved problems all posts have descriptive images.
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19-Solutions for Block Shear-Coped Beam Problems
The post includes two solved problems for block shear-coped beam. The first solved problem for UBS =1 and the second solved problem for UBS=1/2.
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18-The Effective Area for a Built-Up Section
The Effective Area for a Built-Up Section. In this post, we will check a practice problem for a built-up section, which is problem no.3-19 quoted from Prof. Mccormack’s book-fifth edition. It is required to compute the effective net area of the built-up section shown in fig 3-19. If the holes are punched for 3/4 inches. …
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