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Q: How to derive First moment of area for composite beam?
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How can you derive a formula for the area of a trapezoid?

Area = 0.5*(sum of parallel sides)*height


How can you derive a formla for the area of a trapezoid?

Area of a trapezoid: 0.5*(sum of parallel sides)*height


What is the area of a composite shape if the base is 4 and the height is 2?

All you have given is a rectangle which I presume encloses the composite shape. It is impossible to give the area of the composite shape other than to say it is less than or equal to 8 sq units. To work out the area of a composite shape, split it up into areas which you can work out (eg squares and rectangles) and sum the area of all the area.


How do you find the volume of a composite shape?

A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape).For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below.The area of a composite figure is calculated by dividing the composite figure into basic figures and then using the relevant area formula for each basic figure.Example 20Find the area of the following composite figure:Solution:The figure can be divided into a rectangle and triangle as shown below.So, the area of the composite figure is 216 cm2.


What is the formula for finding the area of a composite shape?

There is no single formula, unless you consider the following:Sum(Area of each part of the composite shape calculated according to its bus-formula).