SECTION B

USE THIS INFORMATION TO ANSWER ALL QUESTIONS IN THIS SECTION

A small four$-$story building is shown in Figures $4$ and $5,$ with a typical floor plan $($Figure $4)$ and a typical section $($Figure $5).$ The imposed load on the slab is $4k\frac{N}{m^2},$ and the finishes weigh $1\mathrm{.}5k\frac{N}{m^2}.$ The beams' overall sizes are indicated on the drawing $($in $mm),$ and the slab thickness is $175mm.$ The columns' dimensions are $400400mm$ for all levels, with a story height of $3m$ for each floor. The characteristic strength of the concrete is $30\frac{N}{m}{m}^2,$ while the steel reinforcement strength is $500\frac{N}{m}{m}^2.$ The cover for all reinforcement, except for the foundation, is assumed to be $30mm.$ For foundation design, assume a cover of $50mm$ and a soil bearing capacity of $200k\frac{N}{m^2}.$ For slab design, use $12mm$ diameter bars, $20mm$ for beams, $25mm$ for columns, and $16mm$ for foundation footings. For stirrups, use $10mm$ throughout where required. If any design parameters are not specified, make reasonable assumptions in your design. Use the Chart in Figure $6$ to design the columns.

Figure $4$: General Arrangements

Question $1.$

$(50$ marks$)$

Design the beam on grid line $3/$A$-$D for bending and shear by answering the following questions:

a$)$ Determine the ultimate design load assuming an adverse loading condition.

larks$)$

Sketch the beam's bending moment and shear force diagrams showing the values r critical locations. $(5$ Marks$)$