# Maged kamel

Technical Office Manager- B.Sc in Civil Engineering, (Faculty of Engineering, Ain- Shams University) Cairo, Egypt. 1980. I have worked for the following Companies in Egypt: Speco, National Company for Housing, Orascom /CCC joint venture BELFOUR BETTY/ARAB CONTRACTORS. Saudi Arabia: SAUDI LETCO, ALMAJAL Company, Saudi Company for Development and commerce, SAUDI BIN LADEN GROUP.

## Introduction to Macaulay’s function and singularity functions.

Macaulay’s function and singularity functions are important concepts in mathematical analysis. Macaulay’s function is a mathematical tool used to define a piecewise function that combines polynomials with different degrees.

## 6b-Practice problem 5-2-3-verify Zx for W18x50.

Practice problem 5-2-3-verify Zx for W18x50.We convert the W section into two Wt9x25 and get the required Zx value.

## 6A-Practice problem 5-2-2 Find y bar, Zx, and Zy.

Practice problem 5-2-2. For an un-symmetric section find y bar, plastic moment about P.N.axis, the plastic moment and plastic section modulus about the minor axis.

## 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.

## 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.

## 21- Case 2 for block Shear-Coped Beam Problem.

The post includes one solved problem for Case 2 for block Shear-Coped Beam -UBS=1/2. A step-by-step guide to finding the values of shear yielding shear rupture and tension rupture.

## 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.

## 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

## 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.

## 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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