Repeat Problem 9.5-15 for the anti-symmetric loading shown in the figure.

Statics

so reactions at A and B are equal and opposite but neither is equal to P (unlike symmetnc load case)

Problem 9.5-15

Use the method of superposition to find the angles of rotation θ_A and θ_B at the supports, and the maximum deflection θ_max for a simply supported beam subjected to symmetric loads P at a distance a from each support. Assume that EI is constant, total beam length is L and a = L/3.

Transcribed Image Text:

- note that A, = -By ΣΜΑ = 0 By = -- [P-a - P- (L − a)] L P 3 By Ay = -By →>> P 3