Moment Area Theorems!!
Moment Area Theorems!!
(OP)
Can the moment area theorems and Macaulay's(double integration) methods be used to calculate deflections in indeterminate structures?
Does anyone use this methods in practise i.e. in practical design?
Does anyone use this methods in practise i.e. in practical design?






RE: Moment Area Theorems!!
Most of the practicing engineers will use a computer program to obtain the deflections of indeterminate structures. Unless you use formulas to determine the deflections (Roark's "Formulas for Stress and Strain" contains deflections for members subject to several types of loading, and also for members subject to end moments), the hand calculation of deflections is a tedious and laborious work.
Can the moment areas method be used to calculate deflections of individual members with end moments? Yes, it can.
Can it be used to calculate lateral deflections of rigid frames? Possibly, but I am not sure.
RE: Moment Area Theorems!!
The answer was to lay out your column moments from bottom to top, and use Moment Area to get the deflection at the top. I won't reveal whether I answered correctly or not...but obviously, I know now that Moment Area can get deflections for you.
RE: Moment Area Theorems!!
RE: Moment Area Theorems!!
In my experience, Macaulay's method is only suited to very simple structures. In practice, I never used it for anthing more than single span beams, with/without end restraint, and with simple loadings. I could still do that without having to refer to textbooks
My venerable University notes (which would be about 50 years old today