Example 4.12. Determine mid-span deflection and end slopes of a simply supported beam of span L carrying a udl w per unit length.

Solution: Mid-span deflection : Apply a unit load at mid span as shown in Figure 4.18(b). Consider any point X at a distance of x from A

		(0< x < L )
		(0< x < L/2 )
	( L /2< x < L )

            The vertical deflection of point C is given by

End slopes : Applying a unit couple at A as shown in Figure 4.18(c). Consider any point X at a distance of x from A