Question $1.$ For the shown beam:

A$.$ draw the loading diagrams for the cases of loading

B$.$ Calculate the design factored positive moment in span AB $.$

C$.$ Calculate the design factored negative moment at support B$.$

D$.$ Calculate the design factored shear force in the Beam.

E$.$ Draw the maximum$-$maximum bending moment diagram $($Moment envelope$)$

F$.$ Draw the maximum$-$maximum Shear force diagram $($shear envelope$)$

Hint: use the loading cases :a$)1\mathrm{.}25D+1\mathrm{.}5L$ and b$)0\mathrm{.}9$ D

Hint: Use beam formulas from the handbook

Given:

$D=15k\frac{N}{m}($including self$-$weight of beams$)$

$L=30k\frac{N}{m}$

P is the point load. For case a$)1\mathrm{.}25D+1\mathrm{.}5L,P=191\mathrm{.}25kN$

For case b$)0\mathrm{.}9D,P=40\mathrm{.}5kN$