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Module 4 : Deflection of Structures

Lecture 1 : Moment Area Method

	Example 4.4 Determine the slope and deflection at the hinge of the beam shown in the Figure 4.5 (a).

	Solution: The bending moment diagram is shown in Figure 4.5(b).

	Since the end A is fixed, therefore, . Applying the first moment-area theorem between points A and B (refer Figure 4.5(c))

	(clockwise direction)

	Applying second moment area theorem between points A and B ,

	(downward direction)
	Applying second moment area theorem between points B and D ,


	(anti-clockwise direction)
	From the first moment area theorem between points B and D


	(clockwise direction)

Solution: The bending moment diagram is shown in Figure 4.5(b).