Determine deflection and deflection angle using Unit Load Method

[daphnelee-mh]

Homework Statement

attached below

Relevant Equations

attached below

relevant equations:

My questions:
(1)Not sure whether I did correct especially for the deflection angle
(2)The limit taken for calculating defection Yc , I didn't understand why is from 0 to L/2 instead of the sum of 0 to L/2 and 0 to L, how is the limit determined?

Kindly advise, thanks

 

[Valkarie]

!The deflection angle of a simply supported beam is given by the equation:θ = 5EI/L3 x (L2 - 4x2)where E is the elastic modulus, I is the moment of inertia, and L is the length of the beam.For your question (1), it looks like you have correctly calculated the deflection angle.For your question (2), the limit taken for calculating the deflection Yc is from 0 to L/2 because the deflection of a simply supported beam is symmetric about the midpoint, so only one-half of the beam needs to be considered. The limit from 0 to L/2 is valid for any simply supported beam.