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
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.