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For what purpose is  the secant formula used?

For what purpose is  the secant formula used?

Welding: Principles and Applications (MindTap Course List)
Welding: Principles and Applications (MindTap Course List)
8th Edition
ISBN:9781305494695
Author:Larry Jeffus
Publisher:Larry Jeffus
Chapter31: Oxyfuel Welding And Cutting Equipment, Setup, And Operation
Section: Chapter Questions
Problem 37R: Use Table 31-6 to determine what would be the pressures in cylinders containing: (a) MAPP , (b)...
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For what purpose is  the secant formula used?

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Secant formula is used to calculate buckling load in columns. In Euler formula we assume that the load acts on the column through the centroid of the column however this is not true always. The load can sometimes be acting at some distance from the centroid or the column may not be straight.

Therefore to account for this we assume that the load is acting at certain distance (e) away from the centroid. The formula which takes into account the eccentricity of the load is secant formula.

The column under eccentric load is shown below:

Mechanical Engineering homework question answer, step 1, image 1

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