One new video was added for post 19- solutions for block-shear-coped beam problems.
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6A-Practice problem 5-2-2 Find y bar, Zx, and Zy for the un-symmetric section.
Practice problem 5-2-2. for un-symmetric section y bar, plastic moment about P.N.axisand plastic section modulus about the minor axis.
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8A- Solved problem 5-part 2 for design shear strength
Solved problem 5-part 2 for design shear strength. It is required to find the design shear strength for A 490-N and A 490-X bolts for different types of bolts.
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8- Solved problem 5-part 1 for design shear strength
Solved problem 5-part 1 for design shear strength. It is required to find the design shear strength for different types of bolts with different diameters.
The home page published posts that include bolted Connection.
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5- A solved problem 10-1-for bearing connection-1-3.
The post includes the first part of the solved problem 10-1-for bearing. It is required to estimate the shear force that can be applied on a given connection.
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4-Nominal shear strength and bearing- tear out made simple.
The relation between the nominal shear strength of bolts, and their ultimate strength. The discussion is about bearing and tear out in more detail.
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3-Bearing Type connections-part-2.
This is bearing Type connections-part-2. The topics include the nominal tensile strength of a bolt. Edge spacing and bolts spacing.
The compression members’ posts include 28 posts with full descriptions and solved examples with descriptive images. Please refer to the list of compression members for the various parts to check the content.
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28-Solved problem 4-14 part 2 for effective length factor.
Solved problem 4-14 part 2 for effective length factor. the detailed calculation for both LRFD and ASD designs.
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List of compression Member Posts-part 3.
This is the list of compression Member Posts-part 3, with their relevant links with summary information.
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List of compression Member Posts-part 2.
This is the compression member posts-part 2. A detailed description of each post is included their relevant links are included
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. Please refer to the list of engineering economics for the various parts to check the content. Please refer to the categories for more details.
The home page published posts for discrete Math-please refer to the categories to review.
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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10- Practice problem for the x and y coordinates of a trapezoid
Practice problem for the x and y coordinates of a trapezoid. A step by step guide is given by using two options
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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.
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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6- Practice problem 5-8. Find the centroid for the shaded area
Practice problem 5-8. Find the centroid for the shaded area. using integration we will find the x bar and y bar of the centroid for a composite shape.
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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.
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.
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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27-Two Practice problems for Ixy for trapezium.
The post includes Two Practice problems for Ixy for trapezium. The first problem is for Ixy about an external axis, while the second is for Ixy at the CG.
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26-Two Practice problems for polar of inertia for trapezium.
The post includes Two Practice problems for polar of inertia for trapezium. The first problem is for Jo and Ko at an external axis, while the second is for Jo and Ko at the CG.
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25-Two Practice problems for inertia for trapezium.
We have two practice problems for inertia and radius of gyration for a given trapezium. A step-by-step guide to get Ix and kx.
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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7A-Solved problem-8 by Modified Newton-Raphson method
A solved problem-8 by modified newton Raphson Method. A step-by-step guide comparison is made between the newton method and the modified Newton Raphson method.
Solution of linear equations-Numerical analysis. Please refer to the categories for more details.
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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. there are several posts for interpolation, please refer to the categories for more details.
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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. Please refer to the categories for more details.
Tension Members.
There are more than 20 posts for the Tension members containing illustrations and solved problems all posts have descriptive images. Please refer to the categories for more details.
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