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Exercise $01$

Given the following structural system, where $P01-P02-P03-P04$ are columns and $T01-T02$ are beams, supporting a one$-$way ribbed reinforced concrete floor.

PLAN VIEW

Given the following data:

Internal partition equivalent load $=1\mathrm{.}5k\frac{N}{m^2}$

Variable load of the floor $Q=5\mathrm{.}0k\frac{N}{m^2}$

$L1=5\mathrm{.}0m,L2=4\mathrm{.}0m$ e $L3=1\mathrm{.}5m$

Concrete class C$28/35,$ Reinforcing steel B$450$C

Steel class S$275($Modulus of elasticity $E=210000$MPa $)$

Question $1.$

Design beam T$01$ adopting a reinforced concrete solution with a rectangular section $($ width $$ height $=bh).$

Represent the solution by means of a sketch, both from a sectional and elevation point of view.

Question $2.$

Design beam T$02$ adopting a steel solution.

Formula for reinforced concrete structures:

Design strengths: $f_{cd}=0\mathrm{.}85*(\frac{f_{ck}}{1\mathrm{.}5}),f_{yd}=\frac{f_{yk}}{1\mathrm{.}15}$

Estimation of longitudinal reinforcement: $)=(h-5\mathrm{.}0cm$

Neutral axis position: $x=\frac{A_s{f}_{yd}}{0\mathrm{.}8b{f}_{cd}}$

Tensile steel deformation: ${}_s=0\mathrm{.}0035*\frac{d-x}{x}$

Bending moment resistance: $M_{Rd}=A_s{f}_{yd}d*(1-(\frac{A_s{f}_{yd}}{2bd{f}_{cd}}))$

Resistances of the shear resisting mechanism: $V_{Rd,s}=0\mathrm{.}9d\frac{A_{sw}}{s}{f}_{yd}cot()$

$V_{Rd,\text{m}\text{a}\text{x}}=0\mathrm{.}9dbv{f}_{cd}\frac{cot()}{1+co{t}^2()}$