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## Homework Statement

A beam of I cross section rests on supports 8.00m apart, and carries a

load of 70kN at a distance of 3.00m from one end. If the second

moment of area is 2.8 * 104 cm4 and E = 210 kN/mm2, find the deflection

at the load, and the position and magnitude of the maximum deflection.

Neglect the self weight of the beam.

Ans: 11.16mm and 11.68mm, 3.72m from end nearest load

## Homework Equations

I used Mcauley's method.

## The Attempt at a Solution

I have calculated the deflection at the load and obtained the correct answer. Where I am stuck is in the calculation of the position and magnitute of maximum deflection. I thought at first that max deflection was where the load was but I guess not...........

What I tried is reverting back to the equation for slope. I know that where the slope is 0, the deflection is max (I think-have it written down in lecture notes). From this, I rearranged to find x (distance from end) however the answer I get is 7.28, which as you can see is wrong. Don't know what else to do now. The answer divided by 2 is not that different although not close, but I have rearranged the equation over and over again in case I had done it wrong but always get the same answer.

Any help would be most appreciated.

Thanks