Function to compute the inverse logarithm, by feeding it with the base and the result.... more »

This module computes the area of the circular segment formed between a circle tangent to a reference line and a line found at a given distance from this reference line.

The various cases are described by the images given in the following documentation, where the area which we want to compute is that of the filled shape.

Solution

Consider an orthogonal coordinate system and a circle so that there exists with

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INTRODUCTION

It is intended that the deflection of beams will be considered in six parts of which this is the first. There will also an appendix which will give the deflection and stress formulae for a number of beams under differing loads and systems of support.

Where necessary equations will be referred to by part and equation number eg (Part 2 equation 34).

Strain Energy due to Bending.

Consider a short length of beam under the

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Shearing Force

The shearing force (SF) at any section of a beam represents the tendency for the portion of the beam on one side of the section to slide or shear laterally relative to the other portion.

The diagram shows a beam carrying loads . It is simply supported at two points where the reactions are Assume that the beam is... more »