A frame ABC with bending stiffness E Iz is clamped at A and

A frame ABC with bending stiffness, E Iz, is clamped at A and loaded at C with a horizontal force P. Using superposition and Appendix H:

let us first analyse AB part of frame only.Bending moment at B due to P is P*(L/2) in clockwise direction.

downward deflection at B due to this bending moment is( (PL/2)*(L²)/(2EI) = PL³/4EI

Clockwise rotation at B due to this bending moment is (PL/2)*L/EI = PL²/2EI

Now analyse BC part of frame.

Leftside deflection at C due to P is P*(L/2)³/3EI = PL³/24EI

Clockwise rotation at C due to P is P*(L/2)²/2EI = PL²/8EI

Now using superposition principle

downward deflection at C is PL³/4EI and left side deflaction at C is PL³/24EI

Clockwise rotation at C is (PL²/2EI) + (PL²/8EI) = 5PL²/8EI.