Problem #$3$:

A prismatic three span continuous bridge $($supports A$,$ B$,$ C$,$ D$)$ has two outer spans of $30$ meters and an inner span BC of $36$ meters. Use a conventional structural analysis software of your choice to construct the following $($Important Note: traverse a unit load at intervals equal to $10\%$ for each span to generate the data required. Do not make software generate the full influence line automatically$-$provide software output electronically$)$:

a$)$ The influence lines for the exterior left reaction $R_A$

b$)$ The influence line for the negative moment at the interior support $B(M_B^{-})$

c$)$ The influence line for the positive moment $(M_{AB}^{+})$at a distance equal to $40\%$ of the left span, to the right of the left support

d$)$ Draw the above influence lines using the software Excel along with the ones from the tables provided in the class. Also, show both results in tabulated form $($preferably on Excel$).$ Readers need to be able to compare your results with those of the book tables.

e$)$ Find the maximum effects on $R_A,M_B^{-}$and $M_{AB}^{+}$due to an HL$93$ truck traversing the bridge $($using the results you generated$).$

f$)$ Find the maximum $R_A$ if a uniformly distributed load of $9\mathrm{.}3k\frac{N}{m}$ is applied on the bridge $($partial loading is possible if it leads to maximum effects$)($use the textbook table for this problem$).$