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## Homework Statement

The maximum deflection of a beam is given by the equation

y=M/P(sec(μL/2)-1)

μ=√(P/EI) Where EI Is a constant.

Show that as P→0 y→ML^2/8EI

This is a mathCAD problem by the way, but I'm very novice at it so i want to try formulise some sort of solution on paper before i attempt mathCAD

## Homework Equations

## The Attempt at a Solution

I'm really stuck, firstly i would replace μ with √(P/EI)

∴y = M/P(sec(√(P/EI)*L)/2)-1)

I think the next step is to try get the EI out the function as it is a constant and doesn't need to be differntiated.

The derivivative of secx is tanxsecx which is the same as tanx/cosx and as x approaches 0 the function will equal 0/1 which is 0

If someone could point me in the right direction it would be much appreciated !