I am having difficulty deriving the moment expressions for a rigidly supported beam fixed at either ends and subjected to a point load as shown in the attachment.
The problem is that I want to derive the left hand fixing moment and as in Shigleys. However, I believe my attempts are not leading to these expressions by shigley (engineering book).
My derivations are based on the free body diagram as attached with clockwise moments positive.
Taking moments about the section yields
Subjecting this to the curvature realtion and integrating twice will not lead me to the equations for and
Please note that I have posted this at physics forum Shigleys Indeterminate Beam Derivation
I will inform both post of any updates on a daily basis.