Fixed Beam Subjected to Couple at the centre ( Derive Fixed End Moments, Slope & Deflection )

A fixed beam of span ‘L’ is subjected to clockwise couple ( Point Moment or Concentrated Moment ) in the centre as shown in figure. Find out the fixed end moments, reactions and draw shear force and bending moment diagram. Also find the deflection & slope at the centre, maximum deflection and its location.

[@mathi-14]

towards support b to a we should take anticlockwise moment is +ve and clockwise moment is -ve sir????

[@abhishektrivedi8934]

Could you justify how the final bending moment diagram has arrived

[@joseraimundo3387]

What if a beam have a load w with a couple at centre? What would both moments be? I couldn´t find that case yet

[@Stanacademy]

Just add the end Moments. suppose you have a clockwise moment in the center Moment at A = (-WL/8) + (M/4) Moment at B = (WL/8) + (M/4)