The two span rectangular beam has a width of ${25}^{\text{'}\text{'}}(b={25}^{\text{'}\text{'}})$ and a total depth of ${60}^{\text{'}\text{'}}(h={60}^{\text{'}\text{'}}).$ It is prestressed using a continuous tendon with a parabolic profile in each span, with eccentricities as indicated below. The beam will carry an effective prestress force $P_e,$ after all losses, of $400$kips. Find the primary, secondary$,$ and total moments resulting from prestressing, as well as the support reactions and location of the trust lines using:

a$)$ The method of superposition of deflections.

b$)$ The method of equivalent loads.

c$)$ Find the concrete stress at support B due to prestressing.