Cross Sectional Areas

This free cross section property tool calculates moment of inertia polar moment of inertia and second moment of inertia for various shapes.

Cross sectional areas. The factor relating the pipe s diameter and its area is pi which is also the ratio between the pipe s diameter and circumference. A cross section of any object is an intersection of a plane with that three dimensional object with the plane being perpendicular to the longest axis of symmetry passing through it. A uniform compressed cross section is one in which the sample s contact surfaces stay the same over the range of compression and that the cross sectional areas below the compression faces move uniformly and freely with the compression faces and the sides do not bulge out or move inward.

For example a cylinder of height h and radius r has a π r 2 displaystyle a pi r 2 when viewed along its central axis and a 2 r h displaystyle a 2rh when viewed from an orthogonal direction. V l w h. Cross sectional area of a cylinder π x r2 where π is a constant 3 14159265 which is the ratio of the circumference to diameter of a circle while r is the radius of the cylinder.

The measurement relates directly to the pipe s internal diameter. By orienting a solid along the x axis we can let a x i represent the cross sectional area of the i th slice and let d x i represent the thickness of this slice the thickness is a small change in x. The total volume of the solid is approximately.

7 2 2 volume i 1 n area thickness 7 2 3 i 1 n a x i d x i. The area of this plane of intersection is known as the cross sectional area of the object. The pipe s cross sectional area has a number of applications in fluid dynamics letting you calculate a pipe s flow rate or pressure drop.

A cross sectional area is the area of the sliced portion of a 3d object such as a pipe. Therefore if a cross section is parallel to the top or bottom of the solid the area of the cross section is l w. Cross sectional area of a rectangular solid the volume of any rectangular solid including a cube is the area of its base length times width multiplied by its height.

So all you need to know to be able to calculate the cross sectional area is its radius. Cross section property calculator powered by webstructural. Calculating a cross sectional area is an integral part of trenchless rehabilitation methods because based on this area the size of the lining or replacement pipe is determined.